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  • 1965-1969  (4,644)
  • 1915-1919  (569)
  • Organic Chemistry  (3,698)
  • Chemical Engineering  (1,448)
  • Insulin  (35)
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  • 1
    ISSN: 1432-1912
    Keywords: Amiloride ; Insulin ; Glucose Transport ; Leucine Incorporation ; Isolated Adipose Tissue ; Amilorid ; Insulin ; Glucosetransport ; Leucineinbau ; isoliertes Fettgewebe
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Zusammenfassung 1. Die Aufnahme von Glucose ins isolierte epididymale Fettgewebe und die Bildung von 14CO2 aus [1-14C]-Glucose wurde als Maß von Transportvorgängen, die Incorporation von [1-14C]-Leucin ins Fettgewebsprotein als Maß der Proteinsynthese vor und nach Zusatz von Amilorid in vitro verwendet. 2. Amilorid setzt den Transport durch die Membran sowohl ohne als auch mit Stimulierung durch Insulin halbmaximal in 10−4 M-Konzentration herab. Aus der Kinetik des Transportes kann geschlossen werden, daß Amilorid die maximale Geschwindigkeit des gesamten Vorganges verlangsamt, ohne die Transportkonstante zu verändern. 3. Der Einbau von Leucin ins Fettgewebsprotein wird durch Amilorid in 3 · 10−4 M-Konzentration auf ein Zehntel herabgesetzt. Das Verhalten von [1-14C]-α-Aminoisobuttersäure läßt den Schluß zu, daß der Aminosäuretransport durch die Membran des Fettgewebes nicht beeinflußt wird. 4. Die Wirkungen des Amilorids am Fettgewebe entsprechen im Prinzip denjenigen des Triamterens und des 6-Aminonicotinsäureamids. Ebenso ist allen gemeinsam, daß sie den renalen Natrium- und Kaliumtransport im distalen Abschnitt des Nephrons hemmen. 5. Es ist möglich, daß ein Zusammenhang zwischen den hemmenden Wirkungen dieser Pharmaka auf den Leucin-Einbau in das Fettgewebsprotein und der Störung von Transportvorgängen durch biologische Membranen besteht.
    Notes: Summary 1. The uptake of glucose and the formation of 14CO2 from [1-14C]-glucose were used as a measure of transport processes, and the incorporation of [1-14C]-leucine into the protein of adipose tissue served as a measure of protein synthesis before and after the addition of amiloride to the isolated epididymal adipose tissue of the rat in vitro. 2. In a concentration of 10−4 M, amiloride decreases the glucose transport through tissue membranes by 50% with and without stimulation by insulin. It can be deduced from the kinetics of the transport that amiloride slows down the maximal velocity of the complete process without influencing the transport constant. 3. The incorporation of leucine into adipose tissue protein was diminished to 10% by amiloride in a concentration of 3 × 10−4 M. Experiments with [1-14C]-α-aminoisobutyric acid allow the conclusion that the amino acid transport through the membrane of the adipose tissue remains uninfluenced. 4. The effects of amiloride on the adipose tissue are similar to those of triamterene and of 6-aminonicotinamide. In addition, they all inhibit renal sodium and potassium transport in the distal part of the nephron. 5. It is possible, that there is a connection between the inhibiting effects of these drugs on the incorporation of leucine into the protein of adipose tissue and the disturbance of transport processes through biological membranes.
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Diabetologia 5 (1969), S. 195-197 
    ISSN: 1432-0428
    Keywords: Insulin ; glucagon ; adipose tissue ; lipolysis ; FFA
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Résumé A des concentrations proches de celles qui sont rencontrées dans le plasma humain, le glucagon stimule fortement la lipolyse au niveau de la graisse épididymaire du rat, étudiéein vitro. Les effets de telles concentrations de glucagon sont réduits, voire abolis par l'insuline aux concentrations de 25 et 100μU/ml. Rapprochées de l'effet insulinogénique puissant du glucagon, ces observations peuvent fournir une explication quant au caractère retardé de l'élévation du taux sanguin des acides gras libres observée après injection de glucagonin vivo.
    Abstract: Zusammenfassung Glucagon stimuliert in Konzentrationen, wie sie auch im menschlichen Plasma vorkommen, die Lipolyse im Ratten-Nebenhodenfettgewebein vitro stark. Die Effekte derartiger Glucagonkonzentrationen werden durch Insulin (25–100μE/ml) verringert bis aufgehoben. Unter Berücksichtigung der ausgeprägten Wirkung von Glucagon auf die Insulinfreisetzung können diese Beobachtungen eine Erklärung für die Verzögerung des Anstiegs der freien Fettsäuren im Serum liefern, die man nach Glucagoninjektionenin vivo beobachtet.
    Notes: Summary Glucagon in concentrations similar to those found in human plasma markedly stimulates lipolysis in rat adipose tissuein vitro. The effects of these “physiological” concentrations of glucagon are reduced or abolished by insulin at concentrations of 25 and 100μU/ml. Considering the marked insulinogenic effect of glucagon these observations may provide an explanation for the delayed increase of blood FFA observed after glucagon injectionin vivo.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Diabetologia 5 (1969), S. 61-66 
    ISSN: 1432-0428
    Keywords: Insulin ; islets of Langerhans ; mouse ; collagenase ; glucose ; mannoheptulose ; glucagon ; adrenaline ; phentolamine ; theophylline ; tolbutamide
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Résumé La libération de l'insuline pendant l'incubation des îlots de Langerhans de la souris, isolés après digestion du pancréas par la collagénase, a été étudiée, et l'influence de divers facteurs sur la vitesse de libération a été recherchée. Le glucose à 3.0 mg/ml (glucose élevé) stimulait la libération d'insuline, mais n'avait pas d'effet à 0.6 mg/ml (taux bas). Le mannoheptulose bloquait la stimulation provoquée par du glucose élevé, comme le faisait l'adrénaline. L'effet de l'adrénaline était aboli par la phentolamine, un agent bloquant alpha adrénergique. Le glucagon seul, ainsi qu'en pre'sence d'un taux de glucose bas, stimulait la libération d'insuline, mais non de façon constante avec un taux de glucose élevé. L'adrénaline abolissait la stimulation provoquée par le glucagon. La théophylline stimulait la libération lorsque le glucose était bas, mais beaucoup moins lorsque le glucose était élevé et pas du tout avec le glucagon, quelle que soit la concentration de glucose. Le tolbutamide stimulait la libération d'insuline avec une faible concentration de glucose et cet effet n'était pas inhibé par l'adrénaline. La convenance de cette préparation pour des études sur le métabolisme des cellules insulaires et sa relation avec la sécrét ion d'insuline est discutée.
    Abstract: Zusammenfassung Es wurde die Insulinausschüttung aus Langerhans'schen Inseln von Mäusen, die durch Kollagenase-Behandlung des Pankreas gewonnen worden waren, untersucht und der Einfluß verschiedener Faktoren auf die Freisetzungsgeschwindigkeit überprüft. Eine hohe Glucose-Konzentration von 3.0 mg/ml förderte die Insulin-Ausschüttung, während die niedrige Konzentration von 0.6 mg/ml keine Wirkung ergab. Mannoheptulose und Adrenalin blockierten die Stimulation durch die hohe Glucosekonzentration. Der AdrenalinEffekt konnte durch Phentolamin, eine alpha-Rezeptoren blockierende Substanz, wieder aufgehoben werden. Glucagon führte allein und in Gegenwart der niedrigen Glucosekonzentration zu einer verstärkten Insulininkretion: dies war jedoch bei Kombination mit der hohen Glucosekonzentration nicht konstant der Fall. Adrenalin hob die Stimulierung durch Glucagon auf. Theophyllin führte bei Gegenwart der niedrigen Glucosekonzentration zu einer gesteigerten Ausschüttung, dieser Effekt trat unter der höheren Glucosekonzentration in wesentlich geringerem Umfang und bei Zusatz von Glucagon und einer der beiden verwandten Glucosekonzentrationen überhaupt nicht auf. Bei niedriger Glucosekonzentration stimulierte Tolbutamid die Insulinfreisetzung; dieser Effekt ließ sich durch Adrenalin nicht aufheben. Die Aussagefähigkeit dieses Präparates für Untersuchungen des Inselzell-Stoffwechsels und seiner Beziehungen zur Insulininkretion wird diskutiert.
    Notes: Summary The release of insulin during incubation of mouse islets of Langerhans, isolated after digestion of the pancreas with collagenase, has been studied, and the influence of various factors on the rate of release investigated. Glucose at 3.0 mg/ml (high glucose) stimulated insulin release, but had no effect at 0.6 mg/ml (low glucose). Mannoheptulose blocked the stimulation by high glucose, as did adrenaline. The adrenaline effect was abolished by phentolamine, an alpha-adrenergic blocking agent. Glucagon alone, stimulated insulin release, and also with low glucose, but not consistently with high glucose. Adrenaline abolished the stimulation by glucagon. Theophylline stimulated release with low glucose, much less so with high glucose and not at all with glucagon at either glucose concentration. Tolbutamide stimulated release with low glucose, and this effect was not inhibited by adrenaline. The suitability of this preparation for studies of islet cell metabolism and its relationship to secretion of insulin is discussed.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Diabetologia 5 (1969), S. 304-308 
    ISSN: 1432-0428
    Keywords: Insulin ; bile ; rabbit ; 125I-insulin ; glucose ; galactose ; fructose ; tolbutamide ; phenformin ; liver
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Résumé On trouve de l'insuline immunoréactive dans la bile hépatique de lapins normaux. Moins de 1% d'une dose injectée d'insuline bovine atteint la bile. Quand de l'insuline bovine 125I, seule ou liée à l'anticorps, est administrée par voie intraveineuse, seulement 40% de la radioactivité retrouvée dans la bile est précipitable avec l'acide trichloracétique et moins de 10% réagit avec le sérum anti-insuline de cobaye. Le glucose, le fructose le galactose, le tolbutamide et la phenformine provoquent tous une élévation de l'insuline dans la bile, qui atteint son maximum 40 à 50 min après l'injection. L'alloxane atténue ou abolie ces réponses.
    Abstract: Zusammenfassung Immunoreaktives Insulin wird in der Leber-Galle normaler Kaninchen gefunden. Weniger als 1% einer injizierten Dosis von Rinder-Insulin erreicht die Galle. Wenn man reines oder an Antikörper gebundenes 125I-Rinderinsulin intravenös verabreicht, lassen sich mit Hilfe von Trichloressigsäure nur 40% der Radioaktivität ausfällen, die in der Galle gefunden wird, und weniger als 10% reagieren mit Meerschweinchen-Anti-Insulinserum. Glucose, Fructose, Galaktose, Tolbutamide und Phenformin verursachen ein Ansteigen von Insulin in der Galle, welches ein Maximum innerhalb von 40 bis 50 Min. nach der Injektion erreicht. Alloxan vermindert oder hebt diese Effekte auf.
    Notes: Summary Immuno-reactive insulin is found in the hepatic bile of normal rabbits. Less than 1% of an injected dose of bovine insulin reached the bile. When 125I-bovine insulin alone or complexed with antibody was given intravenously, only 40% of the radioactivity recovered in the bile was precipitable with trichloracetic acid, and less than 10% reacted with guinea pig anti-insulin serum. Glucose, fructose, galactose, tolbutamide and phenformin all caused an elevation in bile insulin, which reached a maximum 40 to 50 min after the injection. Alloxan attenuated or abolished these responses.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Diabetologia 5 (1969), S. 325-330 
    ISSN: 1432-0428
    Keywords: Insulin ; proinsulin ; blood sugar ; mice ; rats ; pancreatectomy ; nephrectomy ; hepatectomy (partial) alloxan diabetes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Résumé Chez les rats et les souris le taux du sucre sanguin est abaissé par une proinsuline obtenue à partir de l'insuline bovine (Schmidt et Arens [6]). Chez les rats alimentés et les souris à jeun, le rapport d'activité proinsuline: insuline est de 1∶4, chez les rats à jeun de 1∶2, dans le cas de dose équimolaire et en mesurant l'abaissement maximum du sucre sanguin. L'abaissement du sucre sanguin évolue de façon plus lente après proinsuline qu'après insuline. La proinsuline, incubée in vitro avec la trypsine, agit quantitativement et au point de vue temps, comme l'insuline. Chez les rats pancréatectomisés, chez les rats néphrectomisés ainsi que chez ceux hépatectomisés aux deux tiers, l'action de la proinsuline est la même que chez les animaux normaux. Les souris rendues diabétiques par l'alloxane répondent également à la proinsuline comme les souris intactes. L'action hypoglycémiante de la proinsuline se manifeste de façon retardée probablement parce que l'insuline active doit tout d'abord se former par un processus protéolytique dépendant du facteur temps. Ceci pourrait être aussi la raison pour laquelle, Rubenstein et coll. [5] signalent l'absence d'effet de la proinsuline dans le test de convulsion chez la souris.
    Abstract: Zusammenfassung An Ratten und Mäusen wird der Blutzucker durch ein aus Rinderinsulin gewonnenes Proinsulin (Schmidt und Arens [6]) gesenkt. Bei gefütterten Ratten und nüchternen Mäusen ist das WirkungsVerhältnis Proinsulin: Insulin = 1∶4, bei nüchternen Ratten 1∶2, wenn äquiznolar dosiert und das Maximum der Blutzuckersenkung gewertet wird. Die Blutzuckersenkung verläuft nach Proinsulin protrahierter als nach Insulin. Proinsulin, welches in vitro mit Trypsin inkubiert wurde, wirkt quantitativ und zeitlich wie Insulin. Bei pankreatektomierten, bei nephrektomierten und bei zweidrittelhepatektomierten Ratten wirkt Proinsulin ebenso wie an Normaltieren. Auch alloxandidbetische Mäuse sprechen auf Proinsulin wie intakte Mäuse an. Die hypoglykämische Wirkung des Proinsulins tritt wahrscheinlich deshalb verzögert ein, weil das aktive Insulin in einem zeitabhängigen proteolytischen Prozeß erst entstehen muß. Dies könnte auch die Ursache für eine von Rubenstein et al. [5] zitierte, fehlende Wirkung von Proinsulin im Mäusekrampftest sein.
    Notes: Summary Proinsulin obtained from bovine insulin (Schmidt and Arens [6]) lowered the blood sugar level of rats and mice. The activity ratio proinsulin: insulin was 1∶4 in fed rats and fasted mice, and 1∶2 in fasted rats, based on an equimolar dosage and measuring the effect in terms of maximum lowering of the blood sugar value. After proinsulin the decrease of the blood sugar was more protracted than after insulin. Proinsulin which was incubated with trypsin in vitro, resembled insulin in degree and onset of action. In pancreatectomized, nephrectomized and two-thirds hepatectomized rats proinsulin acted as in normal animals. Alloxan-diabetic mice responded to proinsulin like intact mice. The reason why the onset of the hypoglycaemic action of proinsulin was delayed is probably due to the fact that the active insulin must first be produced by a time-dependent proteolytic process. This may also be the cause of the ineffectiveness of proinsulin in the mouse convulsion test which was quoted by Rubenstein et al. [5].
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  • 6
    ISSN: 1432-0428
    Keywords: Insulin ; mouse tissues ; kidney fluorescence microscopy ; microscopy ; autoradiography
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Résumé La localisation d'insuline marquée avec I125 ou avec de l'isothiocyanate de fluorescéine a été étudiée au moyen d'autohistoradiographie au microscope optique, au microscope électronique et au moyen de microscopie à fluorescence dans les tissus de souris à jeun et de souris alimentées normalement. L'hormone fluorescente a été trouvée dans les cellules des tubules proximaux du rein de souris à jeun seulement, tandis que l'hormone radioactive a été repérée aussi dans le rein de souris alimentées, bien qu'en quantité inférieure à celle trouvée chez les souris à jeun. Au microscope électronique la radioactivité est présente dans le rein dans la bordure en brosse, les vacuoles et les mitochondries apicales et le noyau, mais pas dans l'appareil de Golgi ou dans les lysosomes. —L'hormone radioactive est aussi présente dans les autres tissus mais sans différence quantitative entre les souris à jeun et les souris alimentées. Les auteurs concluent que le procédé de ré-absorption de l'insuline par les cellules des tubules proximaux du rein est spécifique: l'hormone n'est pas dégradée de la même façon que les autres protéines mais probablement stockée afin de contrôler les processus métaboliques relevant des organelles subcellulaires dans lesquelles elle se trouve.
    Abstract: Zusammenfassung Gefütterte und fastende Mäuse erhielten fluoreszierendes oder mit125J markiertes Insulin i.v. Die Lokalisation des Insulins in den Geweben wurde untersucht. Nur bei Tieren im Hungerzustand fand sich das fluoreszierende Hormon in den Nieren, während sich das radioaktive Insulin bei gefütterten und fastenden Tieren in den proximalen Tubulusschlingen der Nieren nachweisen ließ. Die fastenden Tiere schienen dabei mehr Radioaktivität aufzuweisen. Wurden die Nieren unter Verwendung von Techniken mit hohem Auflösungsvermögen untersucht, so fand sich die Radioaktivität im Bürstensaum, in den apikalen Vakuolen und Mitochondrien und dem Kern, jedoch nicht im Golgi-Apparat oder den Lysosomen. Alle anderen Gewebe enthielten Hormon-Radioaktivität, aber weder ihre Menge noch ihre Lokalisation unterschieden sich bei gefütterten und fastenden Tieren. Es wird gefolgert, daß der Prozeß der Insulinabsorption durch die Zellen der proximalen Tubulusschlingen spezifisch ist und daß das Hormon nicht in ähnlicher Weise wie andere Eiweißkörper abgebaut wird. Wahrscheinlich kommt es über eine Speicherung zu einer Steuerung der entsprechenden Stoffwechselprozesse in den subzellulären Organellen, in denen das Hormon sich befindet.
    Notes: Summary Starved and fed mice were injected intravenously with either fluorescent or125I-insulin and the localization of the hormone was investigated in various tissues. The fluorescent hormone was found in the kidney of starved animals only, whereas the radioactive hormone was found in the proximal convoluted tubule cells of the kidney of both fed and fasted animals, although the latter group appeared to contain more radioactivity than the first. With high resolution techniques the radioactivity in the kidney was found in the brush border, the apical vacuoles, the apical mitochondria and the nucleus, and never in the Golgi apparatus or the lysosomes. All other tissues contained radioactivity due to the hormone, but no difference in either the amount or the localization was found between fed an starved animals. It is concluded that the process of absorption of insulin by the cells of the proximal convoluted tubules is specific and that the hormone is not degraded in a way similar to other proteins, but is likely to be stored and to control cellular metabolic processes from its sites of localization.
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  • 7
    ISSN: 1432-0428
    Keywords: Insulin ; 32P incorporation ; adenine nucleotides ; guanine nucleotides ; Na+K+ ATP-ase ; ouabain
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Résumé Le but de ces investigations a été de contribuer à la compréhension du mécanisme d'action de l'insuline, en provoquant un turn-over accru du phosphate inorganique marqué au32P, en ATP et autres mononucléotides, dans le diaphragme du rat. Pendant l'incubation du diaphragme intact de rat dans un milieu bicarbonaté de Krebs Ringer, sans addition de substrat, on n'a pas observé d'effet de l'insuline sur le contenu en adénine-nucléotides, en guanine-nucléotides, y compris le 3′5′ AMP cyclique et le 3′5′ GMP cyclique. Quand du phosphate inorganique radioactif marqué au32P était présent dans le milieu, l'insuline augmentait l'activité spécifique du phosphate inorganique intracellulaire et provoquait une incorporation accrue du32P dans l'ATP et le GTP. L'effet sur l'ADP était moins prononcé. Il a été montré que ces effets de l'insuline dépendent de la composition ionique du milieu et du transport membranaire des ions. L'augmentation due à l'insuline de l'activité spécifique du phosphate inorganique intracellulaire et du marquage accru au32P de l'ATP (et du GTP) était en grande partie inhibée par l'ouabaïne. Pendant l'incubation dans les milieux où le chlorure de sodium a été remplacé isoosmotiquement par le chlorure de potassium ou de choline, les effets de l'insuline décrits ci-dessus étaient abolis. Les résultats indiquent que le marquage accru de l'ATP (et du GTP) provoqué par l'insuline, peut être en premier lieu attribué à des phénomènes survenant au niveau de la membrane cellulaire. L'augmentation de l'activité spécifique du phosphate inorganique intracellulaire en présence d'insuline, peut s'expliquer par une captation accrue du phosphate inorganique marqué au32P, à partir du milieu. Apparemment le marquage accru au32P de l'ATP (et du GTP) est une conséquence secondaire. On suggère que cet effet de l'insuline est d'abord en rapport avec un effet sur les enzymes de la membrane, en particulier sur l'ATP-ase activée par Na+, K+ et Mg2+.
    Abstract: Zusammenfassung Ziel dieser Untersuchungen war es, zu einem besseren Verständnis der stimulierenden Wirkung von Insulin auf den Einbau von anorganischem32P Phosphat in ATP und andere Mononucleotide im Rattenzwerchfell beizutragen. Während der Inkubation intakter Rattenzwerchfelle in Krebs-Ringer-Bicarbonat Puffer ohne Substratzusatz konnte kein Insulineffekt auf den Gehalt an Adenonucleotiden und Guaninnucleotiden, sowie von cyclischem 3′,5′ AMP und cyclischem 3′,5′ GMP beobachtet werden. In Gegenwart von anorganischem32P Phosphat steigerte Insulin die spezifische Aktivität von intrazellulärem anorganischen Phosphat und bewirkte einen verstärkten Einbau von32P in ATP und GTP. Die Wirkung auf ADP war weniger ausgeprägt. Es konnte gezeigt werden, daß diese Insulineffekte von dem IonenGehalt des Mediums und dem Membrantransport der Ionen abhängen. Die Steigerung der spezifischen Aktivität des anorganischen Phosphates und der Markierung von ATP (und GTP) mit32P ließ sich weitgehend durch Ouabain wieder aufheben. Bei Inkubation in Pufferlösungen, die statt NaCl isoosmolare Mengen von KCl oder Cholinchlorid enthielten, waren die oben erwähnten Insulineffekte nicht mehr nachweisbar. Die Resultate sprechen dafür, daß die verstärkte Markierung von ATP (und GTP) unter Insulin in erster Linie auf Vorgängen an der Zellmembran beruht. Die erhöhte spezifische Aktivität des intrazellulären anorganischen Phosphates in Gegenwart von Insulin läßt sich durch einen verstärkten Einstrom von32P Phosphat aus dem Medium erklären. Augenscheinlich kommt es dadurch sekundär zu einer gesteigerten32P Markierung von ATP (und GTP). Wir möchten annehmen, daß dieser Insulineffekt vorwiegend über die Membranenzyme erfolgt und sich vor allem auf die Na+, K+ und Mg++ aktivierbare ATPase erstreckt.
    Notes: Summary The aim of these investigations has been to contribute to an understanding of the mechanism of action of insulin in promoting increased turn over of32P inorganic phosphate into ATP and other mononucleotides in the rat diaphragm. During incubation of the intact rat diaphragm in Krebs Ringer bicarbonate medium without addition of substrate, no effect of insulin on the content of adenine nucleotides and guanine nucleotides including cyclic 3′,5′ AMP and cyclic 3′,5′ GMP has been observed. When32P radioactive inorganic phosphate was present in the medium, insulin increased the specific activity of intracellular inorganic phosphate and promoted an increased incorporation of32P into ATP and GTP. The effect on ADP was less pronounced. It has been shown that these effects of insulin depend upon the ionic composition of the medium and on ion membrane-transport. The insulin-promoted increase of specific activity of intracellular inorganic phosphate and of increased32P labelling of ATP (and GTP) was to a great extent inhibited by ouabain. During incubation in media where sodium chloride had been iso-osmotically replaced by potassium chloride or choline chloride, the above mentioned effects by insulin were abolished. The results indicate that the increased labelling of ATP (and GTP) promoted by insulin can be primarily attributed to events occuring at the cell membrane. The increased specific activity of intracellular inorganic phosphate in the presence of insulin can be explained by increased uptake of32P inorganic phosphate from the medium. Apparently the increased32P labelling of ATP (and GTP) occur as a secondary consequence. It is suggested that this insulin effect is primarily concerned with an effect on membrane enzymes, particularly the Na+, K+, Mg2+ activated ATP-ase.
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Diabetologia 5 (1969), S. 143-145 
    ISSN: 1432-0428
    Keywords: Insulin ; galactose ; galactokinase ; deficiency
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Résumé Chez deux adultes souffrant d'une déficience en galactokinase la charge orale de galactose a été suivie d'une hypergalactosémie prolongée sans aucune élevation de l'insuline immunoréactive plasmatique.
    Abstract: Zusammenfassung Orale Belastung mit Galactose führte bei zwei Erwachsenen mit Galactokinasemangel zu einer prolongierten Hypergalactosämie, aber nicht zu einem Anstieg des immunoreaktiven Insulins im Plasma.
    Notes: Summary Oral galactose loading in two galactokinase-deficient adults produced the expected high and prolonged rise of galactose in peripheral blood, but no rise of circulating immunoreactive insulin.
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  • 9
    ISSN: 1432-2013
    Keywords: Toad Bladder ; Sodium Transport Pool ; Aldosterone ; Insulin ; Vasopressin ; Krötenblase ; Natrium-Transport-Pool ; Aldosteron ; Insulin ; Vasopressin
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary The size of toad bladder sodium transport pool, defined as that amount of sodium of apical origin and recovered in tissue at equilibrium, was compared with sodium transport rate, derived from short-circuit current read immediately before tissue analysis. Provided certain precautions be taken, the relationship between both variables can be described by a curve starting at the intersect ofX (pool, in μEq) andY (transport, in μEq/hr) axes, with a tendency forX to increase faster thanY. Assuming sodium transport pool forms one compartment, its calculated half-life averages 2–3 min. sodium transport pool measurements are thought to shed light on mechanism of sodium transport by toad bladder because pool size was large with respect to transport rate when tissue was exposed to several inhibitors of sodium transport. Conversely, upon stimulation of activity of (substrate — depleted) preparations by glucose, a relative reduction of pool size was observed. Aldosterone, vasopressin (and adenosine 3′,5′-phosphate) increased sodium pool size and transport rate, proportionately; insulin stimulated sodium transport more than it increased pool size. Thus, insulin presumably exerts its effect at the sodium “pump” while such a site of action need not be postulated for aldosterone and vasopressin: these 2 hormones would instead induce, permeability changes faciliting sodium movement at the apical border of toad bladder epithelial cells.
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Acta diabetologica 6 (1969), S. 371-388 
    ISSN: 1432-5233
    Keywords: Insulin ; Insulin antibodies ; Insulin assay ; Laboratory technique
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
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  • 11
    Electronic Resource
    Electronic Resource
    Springer
    Acta diabetologica 6 (1969), S. 197-205 
    ISSN: 1432-5233
    Keywords: Diurnal variations ; Food intake ; Glucose load ; Insulin ; Tolbutamide test
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Resume On a étudié l'effet de la lumière et de la période d'ingestion des aliments sur l'élimination d'insuline par les urines. On peut démontrer l'existence d'un rythme circadien et la présence de deux facteurs de régulation pour cette élimination. On présente quelques hypothèses concernant ces phénomènes.
    Abstract: Resumen Se estudió el efecto que sobre la eliminación de insulina urinaria ejercen los períodos de luzoscuridad y el horario de administración del alimento. Se demuestra la existencia de un ritmo circadiano de eliminación de dicha hormona, describiéndose dos reguladores del mismo. Se hacen especulaciones fisiopatológicas acerca de su significado.
    Notes: Riassunto E' stato studiato l'effetto della luce e del periodo di ingestione del cibo sull'eliminazione di insulina nelle urine. Si può dimostrare l'esistenza di un ritmo circadiano e la presenza di due fattori di regolazione per questa eliminazione. Vengono presentate alcune ipotesi concernenti questi fenomeni.
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  • 12
    ISSN: 1432-5233
    Keywords: Glybenclamide ; Insulin ; Insulin secretion ; Sulfonylureas ; Tolbutamide
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Resume Les effets métaboliques de la glybenclamide et de la tolbutamide ont été étudiés chez deux groupes de sujets normaux traités avec des doses comparables des deux sulphanylurées. En rapport aussi à la dose de 1:400, la glybenclamide a démontré une activité insuline-sécrétive bien majeure de celle de la tolbutamide. La réponse insulinique a été suivie par une rapide et prolongée diminution des NEFA sériques et par un moins persistant effet hypoglycémique. Les effets métaboliques de l'HB 419 sont encore évidents 10–12 heures après l'administration du médicament, tandis que l'activité de la tolbutamide est terminée géneralement entre 4–6 heures. Quand l'administration des médicaments a été pratiquée en concomitance avec une charge veineuse de glucose, le coéfficient de Conard était élevé d'une façon significative par toutes les deux sulphanylurées.
    Abstract: Resumen Los efectos metabólicos de la glibenclamida y de la tolbutamida han sido investigados en dos grupos de sujetos normales tratados con dosis comparables de las dos sulfanilúreas. Inclusive en una relación de dosificación de 1:400, la glibenclamida ha demostrado una actividad insulinosecretora mucho mayor de la tolbutamida. La respuesta insulínica ha sido seguida de una disminución pronta y prolongada de los NEFA séricos y de un efecto hipoglucemiante menos persistente. Los efectos metabólicos del HB 419 son aún evidentes a las 10–12 horas después de la administración del medicamento, mientras la actividad de la tolbutamida es anulada por lo general dentro de 4–6 horas. Cuando la suministración de los medicamentos ha sido practicada en coincidencia con una carga venosa de glucosa, el coeficiente de Conard apareció significativamente elevado por ambas sulfanilúreas.
    Notes: Riassunto Gli effetti metabolici della glibenclamide e della tolbutamide sono stati indagati in 2 gruppi di soggetti normali trattati con dosi comparabili delle due sulfaniluree. Anche in un rapporto di dosaggio di 1:400, la glibenclamide ha mostrato un'attività insulino-secretiva assai maggiore di quella della tolbutamide. La risposta insulinica è stata seguita da una pronta e prolungata diminuzione dei NEFA serici e da un meno persistente effetto ipoglicemico. Gli effetti metabolici del-l'HB 419 sono ancora evidenti 10–12 h dopo la somministrazione del farmaco mentre l'attività della tolbutamide si annulla generalmente entro 4–6 h. Quando la somministrazione dei farmaci è stata praticata in coincidenza con un carico venoso di glucosio, il coefficiente di Conard è apparso significativamente innalzato da entrambe le sulfaniluree.
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  • 13
    ISSN: 1432-5233
    Keywords: Insulin ; Insulin antibodies ; Islets of Langerhans ; Placenta ; Transport
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Resume Ce travail est la continuation des communications préliminaires sur la résistance insulinique des nouveaux-nés de mères insuline-résistantes. Les recherches ont été conduites sur cobayes et sur sujets humains. Les AA. ont démontré que les anticorps anti-insuline passent dans la circulation fœtale et provoquent l'apparition d'une insuline-résistance passive qui va disparaître dans les premières semaines de la vie. Les anticorps contre l'insuline bovine lient en partie l'insuline endogène des cobayes, ce qui est mis en evidence par l'hyperglycémie élevée des cobayes jeunes nées de mères insuline-résistantes. Les anticorps anti-insuline n'ont aucun effet important sur la structure du pancréas des cobayes dans la période périnatale.
    Abstract: Resumen Este trabajo representa la continuación de las comunicaciones preliminares sobre la resistencia insulínica que presentan las personas nacidas de madres insulino-resistentes. Las investigaciones han sido efectuadas en cobayas y hombres. Se ha demostrado que los anticuerpos anti-insulina pasan al círculo fetal, provocando la aparición de insulino-resistencia pasiva, que desaparece durante las primeras semanas de vida. Los anticuerpos contra la insulina bovina ligan en parte la insulina endógena de cobayas, como lo demuestra la hiperglucemia elevada de las cobayas jóvenes nacidas de madres insulino-resistentes. Los anticuerpos anti-insulina no ejercen ningún efecto apreciable sobre la estructura del páncreas de las cobayas durante el período peri-natal.
    Notes: Riassunto Questo lavoro rappresenta la continuazione delle comunicazioni preliminari sulla resistenza insulinica dei nati di madri insulino-resistenti. Le ricerche sono state condotte su cavie e su uomini. E' stato dimostrato che gli anticorpi anti-insulina passano nel circolo fetale inducendovi la comparsa di una insulino-resistenza passiva che scompare nelle prime settimane di vita. Gli anticorpi contro l'insulina bovina legano in parte l'insulina endogena di cavie, come è evidenziato dall'elevata iperglicemia delle cavie giovani nate da madri insulino-resistenti. Gli anticorpi anti-insulina non esercitano alcun effetto di rilievo sulla struttura del pancreas delle cavie nel periodo perinatale.
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  • 14
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    Acta diabetologica 6 (1969), S. 796-808 
    ISSN: 1432-5233
    Keywords: Desensitization ; Immunoglobulins ; Insensitivity ; Insulin ; Insulin allergy ; Insulin antibodies ; Macroglobulins ; Porcine insulin
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Resume Cinq patients atteints d'allergie à l'insuline ont été désensibilisés par de l'insuline de porc selon la méthode d'Urbach et Gotlieb. Le diagnostic d'allergie à l'insuline a été posé sur la base des manifestations cliniques, de la positivité des réactions cutanées et, dans 2 cas, des réactions de Prausnitz-Küstner (P.K.). On a obtenu dans 3 cas une désensibilisation. La présence d'anticorps anti-insuline a été révélée par la méthode immunoautoradiographique en employant de l'insuline131J. Avant la désensibilisation la présence d'anticorps IgG a été enregistrée chez 3 patients tandis que chez 2 on a démontré également des anticorps IgA. Une réaction de P.K. positive a été observée chez des patients dont les sérums contenaient des anticorps IgA. Pendant la désensibilisation on a observé une apparition transitoire de macroglobulines capables de lier l'insuline131J. Après la désensibilisation on a constaté la persistance de la positivité aux réactions cutanées immédiates à l'insuline de porc et de boeuf. En même temps les réactions retardées et la réaction de P.K. à l'insuline de porc étaient interverties, bien que les mêmes réactions à l'insuline bovine restaient positives.
    Abstract: Resumen Cinco pacientes que padecían de alergia a la insulina han sido desensibilizados con insulina porcina según el método de Urbach y Gotlieb. El diagnóstico de alergia a la insulina ha sido puesto teniendo en cuenta las manifestaciones clínicas, el positivismo de las reacciones cutáneas, y, en 2 casos, las reacciones de Prausnitz-Küstner (P.K.). En 3 casos se ha obtenido desensibilización. La presencia de anticuerpos anti-insulina ha sido puesta en evidencia con el método inmunoautoradiográfico, empleando insulina131J. Antes de la desensibilización, la presencia de anticuerpos IgG ha sido hallada en 3 pacientes, mientras que en 2 han sido demostrados también anticuerpos IgA. Una reacción de P.K. positiva ha sido observada en pacientes cuyos sueros contenían anticuerpos IgA. Durante la desensibilización se ha observado aparición transitoria de macroglobulinas capaces de ligar la insulina131J. Al cabo de la desensibilización se ha notado la persistencia del positivismo a las respuestas cutáneas inmediatas a la insulina porcina y bovina. Al mismo tiempo, las respuestas retardadas y la reacción de P.K. a la insulina porcina cstaban invertidas, no obstante que las mismas reacciones a la insulina bovina hubieran quedado positivas.
    Notes: Riassunto Cinque pazienti con allergia all'insulina sono stati desensibilizzati con insulina suina secondo il metodo di Urbach e Gotlieb. La diagnosi di allergia all'insulina è stata posta sulla base delle manifestazioni cliniche, della positività delle reazioni cutanee e, in 2 casi, delle reazioni di Prausnitz-Küstner (P.K.). In 3 casi si è ottenuta una desensibilizzazione. La presenza di anticorpi anti-insulina è stata rivelata con il metodo immunoautoradiografico impiegando insulina131J. Prima della desensibilizzazione la presenza di anticorpi IgG è stata riscontrata in 3 pazienti mentre in 2 sono stati dimostrati anche anticorpi IgA. Una reazione di P.K. positiva è stata osservata in pazienti i cui sieri contenevano anticorpi IgA. Durante la desensibilizzazione si è osservata una comparsa transitoria di macroglobuline capaci di legare l'insulina131J. Dopo la desensibilizzazione si è riscontrata la persistenza della positività delle risposte cutanee immediate all'insulina suina e bovina. Al tempo stesso le risposte ritardate e la reazione di P.K. all'insulina suina erano invertite, sebbene le stesse reazioni all'insulina bovina rimanessero positive.
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  • 15
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 1 (1969) 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 16
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 3-28 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Finite element methods can be formulated from the variational principles in solid mechanics by relaxing the continuity requirements along the interelement boundaries. The combination of different variational principles and different boundary continuity conditions yields numerous types of approximate methods. This paper reviews and reinterprets the existing finite element methods and indicates other alternative schemes. Plate bending problems are used to compare the relative merits of the various methods.
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 1-2 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 18
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 47-66 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Three methods for finding natural frequencies and modes of complex structures composed of beam elements are described and compared. The analysis is extended to include hysteretic damping for the determination of response and transmissibility without a modal analysis. Experimental comparison is given for the response of a simple engineering structure.
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  • 19
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 101-122 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The derivation of the stiffness matrix for a refined, fully compatible triangular plate bending finite element is presented. The Kirchhoff plate bending theory is assumed. Six parameters or degrees of freedom are introduced at each of the three corner nodes resulting in an 18 degree of freedom element. This refined element is found to give better results for displacements and particularly for internal moments than any plate bending element, regardless of shape, previously reported in the literature.
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  • 20
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 67-73 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Finite difference treatment of two-dimensional problems in elastostatics is usually based on the differential equations for the displacement vector or the Airy stress function, depending on whether boundary conditions are on displacement or stress. In either case, determination of stresses requires numerical differentiation and therefore use of a rather fine grid. Moreover, neither method is suited to the treatment of mixed boundary conditions. The alternative method developed in this paper uses the first derivatives of the displacement components at the grid points as basic variables and hence does not require numerical differentiation in the evaluation of stresses. Appropriate finite difference equations are established, and their use is discussed in connection with a specific example with known explicit solution.
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  • 21
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 29-45 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The theory, function generator routine and testing procedures are given for a six-node 18 degree of freedom triangular element. At corner nodes the variables are the displacement and the two slopes. At midside nodes the variables are the displacement, the slope normal to the side, and the rate of change of this along the side - i.e., the rate of torsion. Of two options, one divides the triangle into three and takes different quartic displacements in the three regions, and the other uses displacement functions with singularities at the vertices. According to a test which compares the energies of the two formulations by eigenvalues, the second is the better if the integration is accurate. The same test, together with others based on finite differences and on nodal values, etc. checks the correctness of the routine decisively.
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  • 22
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 123-133 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The large deflection problem of a rectangular plate is analysed by using the finite element method and employing the iteration technique. In the present study, the stiffness matrix of a rectangular plate element for bending proposed by Greene is employed, and results of numerical examples duly justifies applicability of the present method.
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  • 23
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 75-100 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The paper presents first a general formulation of the elasto-plastic matrix for evaluating stress increments from those of stresses for any yield surface with an associated flow rule. A new ‘initial stress’ computational process is proposed which is shown (1) to yield more rapid convergence than alternative approaches (2) to permit large load increments without violating the yield criteria and thus simply to establish lower bound solutions. Several solutions showing stress distribution, strain development and growth of plastic enclaves are given both for the von Mises and for Coulomb (Drucker) type yield surfaces. Load reversal and thermoplastic behaviour are dealt with.
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  • 24
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 1 (1969) 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 25
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 151-162 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The direct Finite Element Analysis which was successfully employed in the solution of dynamic flexural traveling wave problems is extended herein to provide the transient behaviour of finite beams and plates in which shear deformation and rotatory inertia are considered. The particle and angular velocities are exponentially damped so that the static solutions for these problems are obtained with the same analysis which provided the dynamic and transient cases. Three special cases are chosen as examples. In the first, a sinusoidally varying shear force is applied at the tip of a cantilever beam. The resonant characteristics of this beam for both the undamped and damped cases are studied. In the second, a step shear loading is applied to a cantilever beam and its damped dynamic history is studied. Finally, a circular plate whose outer edge is simply supported is impacted at its inner edge by a step moment and its damped transient behaviour is determined. The idea of the methods is potentially applicable to dynamic problems in general.
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  • 26
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 135-149 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The assumed stress distribution approach is used to derive the stiffness matrix of a plate-bending element of general polygonal shape having any number of nodes. The effect of assuming various numbers of unknown coefficients in the stress distributions is examined and the convergence properties of the resulting elements compared with others derived form assumed displacements.
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  • 27
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 169-175 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A numerical method for obtaining the Green's functions for Laplace's, Poisson's, and the transient heat diffusion equations is presented. The Green's functions thus obtained are then employed to rapidly obtain numerical solutions of the above equations by matrix multiplication, with subsequent considerable savings in machine time.
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  • 28
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 177-180 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The solution of the large numbers of non-linear algebraic equations occurring in analyses of non-linear structural systems using finite differences or finite elements is time consuming even for the fastest computers. This paper presents a method of solution based on a Taylor's expansion technique which is an aid in the solution of such systems of equations.Examples presented show that in the finite element analysis of moderately non-linear structural systems the technique provides sufficiently accurate solutions. For more non-linear systems the technique provides excellent starting values for the Newton-Raphson method.
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  • 29
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 163-167 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Deformation functions which, in addition to satisfying the continuity conditions at nodes. Also satisfy. Approximately, the governing differential equation within the element allow system eigenvalues to be found more accurately, with a given number of elements, than is possible with previously published deformation functions. This is illustrated for the case of beams.
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 201-203 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 31
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 205-221 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper presents a general theory of finite elements. The concept of finite elements is cast in a general topological framework valid for spaces of finite dimension. It is shown that the idea of finite element models can be developed in higher-dimensional spaces, independent of specific co-ordinate systems, for any type of continuous abstract function defined on the space. Generalizations of the familiar Lagrange and Hermite interpolation functions are presented as well as a general statement of the notion of generalized variables and conjugate fields. It is also shown that admissible finite elements can be developed for non-Euclidean spaces of finite dimension. Topological properties of finite element models are examined in Part I of the paper. Part II is devoted to certain applications.
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 224-224 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 33
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 1 (1969) 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 34
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 225-245 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A method is presented based on matrix algebra for the dynamic analysis of a mixed rotating and non-rotating vibration system. Such systems occur in practice when turbo-alternator sets are mounted on flexible steel foundations.The mathematical model considered consists of a rotating non-uniform, bi-symmetric shaft connected via three or more flexible-film bearings to a flexible structure throughout which mass is distributed. The shaft, which is assumed to rotate at constant speed, is heavy, flexible and carries several rigid axi-symmetric discs. Viscous damping is assumed to act in all parts of the system and gravitational effects are ignored.
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 181-200 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Surface displacements at the end of a semi-infinite, circular cylinder due to an axisymmetric ring of forces on the end are examined. The solution which has been found may then be used to find surface displacements for general axisymmetric loadings by convolution. The solution, in tabular form, is given as corrections to the counter-part half-space solution.The method of solution involves a three step superposition process. First, the displacement due to a ring of forces on a half-space is found by using the Boussinesq solution. Then, the excess tractions on the half-space, over that of the cylinder, are removed. This is done in two parts. The problem of an infinite cylinder with linearly varying pressure and shear over a short length of the lateral surface is solved by using Fourier integrals. This is used for the removal of the pressure and shear on the lateral surface of the cylinder by convolution. Next, the stresses at the mid-section of the infinite cylinder are removed. This is done by finding a set of boundary conditions for the end which yields zero tractions on the lateral surface. Then a series of these boundary conditions is used to approximate the tractions which must be removed.With the solution thus obtained, two sample problems are shown: 1. an elastic cylinder in contact with a half-space; 2. a rigid punch in contact with an elastic cylinder.
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 247-259 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In Part I of the this paper, topological properties of finite element models of functions defined on spaces of finite dimension were examined. In this part, a number of applications of the general theory are presented. These include the generation of finite element models in the time domain and certain problems in wave propagation, kinetic theory of gases, non-linear partial differential equations, non-linear continuum mechanics, and fluid dynamics.
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  • 37
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 275-277 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Additional Material: 1 Tab.
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  • 38
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 261-274 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A presentation is made of a rectangular plate bending element, the use of which corresponds to the finite difference method. The element stiffness matrix is arrived at by approximation of the strain energy of the element by suitably selected finite difference expressions which contain not only values in respect of the deflection, but also values of its first derivatives. On the basis of the connection found between the two methods, some changes are suggested in the finite difference method, which involve a more realistic way of considering the detailed distribution of the loading. The effect of these modifications is illustrated in two applications.
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  • 39
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 279-299 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: When calculating complex interconnected systems (electrical, power, water supply, gas systems, etc.) by digital computer, a number of common problems arise, connected both with the mathematically correct formulation of the problem under investigation, and with the algorithms of the solution, the programming of which makes it possible to reduce the computing time, the store capacity and the volume of input data required. The present article is devoted to the solution of these problems. The procedure is illustrated by formulating and manipulating the equations relating to complex interconnected mine ventilation networks.
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  • 40
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 1 (1969) 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 41
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 301-310 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Solution of plane elastic problems by piecewise linear approximation is outlined. This method is based upon Galerkin error distribution technique, which leads to simultaneous algebraic equations identical to those associated with the Finite Element Method. In addition, this method permits definition of the discretization error, which can be computed once the displacement components are known. Properties of the interpolation functions are discussed, and a sequence of internally compatible plane elastic elements is defined.
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  • 42
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 311-331 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A review is given of some mathematical programming methods suitable for optimization of structures needing matrix methods for analysis. An application is presented for elastic flat grillages made of straight orthogonal beams normally loaded. Empirical relationships are used to relate beam section properties so that each beam element has only one design variable. Optimization results are obtained by methods of stress-ratio, linear programming-cutting plane and usable-feasible gradient directions. A comparison of the efficiency of these methods is given for the grillage designs which are shown to have non-convex stress constraints and numerous relative optima. Instances are given of non-fully stressed global optima and fully stressed designs which are not local optima for cases with only stress constraints. Discussions include locating the global optima for grillage designs and extensions of the methods presented to other structural design problems.
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  • 43
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 333-349 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The paper presents a method for reducing the size of a vibration analysis by generating an inertia matrix referred to a limited set of ‘master’ vibrational freedoms. In designing a computer program to perform this mass condensation process, the emphasis has been on providing a two way interface between structural analysis and vibration analysis programs. The transformation from the full set of degrees of freedom to the master set makes extensive vibration calculations economically feasible giving solutions in terms of the amplitudes of the master freedoms. However, by reversing the transformation after completion of a vibration analysis, it is possible to restore the full set of freedoms, allowing automatic plotting of mode shapes in full detail, and re-entry to the structural analysis program for the purpose of computing dynamic stresses.A worked example is given. This is a realistic machine tool structure rather than the simple plates or beams which are usually used for illustration purposes. Natural frequencies and mode shapes, calculated with various degrees of condensation, are compared with those obtained by using all possible freedoms. A comparison is also made with an intuitive selection of ‘lumped masses’.
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  • 44
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 351-378 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The application of non-linear programming methods for the optimum design of statically indeterminate structures is discussed, with special emphasis on the design of elastic grillages loaded laterally and in plane. Some features of SUMT (sequential unconstrained minimization technique) are demonstrated by means of numerous examples of varying complexity. The Variable Metric method of search is discussed and compared to Powell's Direct Method. It is shown that non-convex sets of design variables are often encountered in structural problems of the grillage type. SUMT may still be used, but the choice of starting value and initial response factor decisively influences the chance of finding the global optimum.It is demonstrated that a fully stressed design may not necessarily correspond to the minimum weight design. Optimum design of grillages which are simultaneously subjected to lateral and in-plane loads may be performed efficiently by means of non-linear programming.
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  • 45
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 379-394 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A completely numerical method for steady state linear viscoelastic stress analysis is presented by means of the finite element approach. Numerical representations of the measured viscoelastic constitutive relations are used. This method is developed to obtain steady state solutions to mixed boundary value problems in which the character of the boundary conditions at a point changes with time. Such problems cannot be handled by direct application of the correspondence theorem. A numerical example of viscoelastic sheet rolling is presented along with an experimental verification of the solution by photo-viscoelastic observations.
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  • 46
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    International Journal for Numerical Methods in Engineering 1 (1969), S. 395-395 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 47
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    AIChE Journal 15 (1969), S. 155-156 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 48
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    AIChE Journal 15 (1969), S. 18-24 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Effects of pore diffusion in the catalytic oxidation of ethylene on copper oxide-alumina have been studied by varying the catalyst size and maintaining constant the ratio of the tube to the pellet diameter. Hydrocarbon analysis was determined with a flame ionization detector; infrared analyzers were used to determine carbon monoxide and carbon dioxide concentrations. Other reaction products were analyzed with a gas chromatograph. Curvature of the Arrhenius plots and increase in reaction order with temperature indicated a transition region between kinetic control at lower temperatures and pore diffusion control at higher temperatures. A calculation procedure which was developed to predict the conversion considering pore diffusion effects provided satisfactorily agreement between calculated and experimental results.
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  • 49
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    AIChE Journal 15 (1969), S. 35-39 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The rate of attrition of a catalyst sample, of a single particle size, can be expressed by a simple function of initial diameter and time. The initial rate is a function of initial diameter, whereas the decrease in attrition rate of a catalyst of a given size as it ages depends only on time.The attrition equation for a single size of particles is introduced into the particle size distribution function and, through mathematical analyses, yields a relationship for the attrition of a full size-range catalyst. The form of this relationship, which includes terms for attritability and severity of attrition conditions, is verified by laboratory and commercial attrition data on two full-range catalysts. The size distribution of an attrited sample is not expressible in simple analytical form, but is readily obtained by numerical analysis.
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  • 50
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    AIChE Journal 15 (1969), S. 94-100 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Process design computations are represented by directed graphs whose edges correspond to streams of information flow between computational units. Algorithm I-R extends existing algorithms for finding the minimal sized blocks of units between which no recycle exists. Algorithm II-R orders the sequence of unit computations within a block to minimize the number of recycle parameters. Algorithm III-R uses the concept of indexing to order computations which evade algorithm II-R. This work is directed toward the evolution of efficient programs for computer-aided process design.
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  • 51
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    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The permeation of carbon dioxide through polyethylene membranes has been studied at pressures up to 54.4 atm. and at temperatures above and below the critical temperature of the gas (31.0°C.). The permeability coefficient is independent of pressure at the highest experimental temperature (61.0°C.), but becomes increasingly pressure-dependent as the temperature is lowered. The principle of corresponding states can be used to correlate the solubility of both gases and vapors in polyethylene over a wide range of temperatures. This principle can also be invoked to obtain an upper limit for the penetrant pressure above which the permeability coefficient becomes pressure-dependent. The effect of pressure on the permeability, solubility, and diffusivity of gases and vapors in polyethylene is discussed in some detail.
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  • 52
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    AIChE Journal 15 (1969), S. 3-3 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 53
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    AIChE Journal 15 (1969), S. 146-149 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 3 Ill.
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  • 54
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    AIChE Journal 15 (1969), S. 214-219 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Differently shaped bubbles were observed growing during nucleate boiling of water at atomspheric pressure. The surface temperature beneath the bubbles was measured simultaneously with a fast response surface thermocouple. The evaporation from the base necessary to account for the observed cooling was calculated. A comparison of the ratio of vapor volume formed at the base to the total volume of the bubble shows a dependency on bubble shape. The ratio is smallest for spherical bubbles, largest for hemispherical and intermediate for oblate bubbles.
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  • 55
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    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Solubilities and diffusivities of various gases (helium, nitrogen, carbon dioxide, argon, neon, krypton, and monochlorodifluoromethane) in molten or thermally softened polymers (polyethylene, polypropylene, polyisobutylene, polystyrene, and polymethylmethacrylate) have been correlated with structural characteristics, temperature, and pressure. Temperature dependence of both Henry's Law constants and diffusivities were of the Arrhenius equation form. No appreciable effect of pressure was found for either Henry's Law constants or diffusivities up to 300 atm. Earlier correlations for Henry's Law constants in solid polymer systems were found to be inapplicable for molten and thermally softened polymers. New correlations were developed individually for the latter systems. The correlating factor used was the gas Lennard-Jones force constant. Existing correlations for diffusivities were also found not to apply to molten and thermally softened systems. New correlations were again developed on an individual polymer basis. These related diffusivity to gas Lennard-Jones collision diameter or molecular diameter. Generalized correlations were also developed that held for a number of polymers. These were for both Henry's Law constants and diffusivities.
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  • 56
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    AIChE Journal 15 (1969), S. 303-305 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 57
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    AIChE Journal 15 (1969) 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 58
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    AIChE Journal 15 (1969), S. 276-281 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: This paper describes a numerical procedure for optimizing a large set of interconnected systems with respect to a given index of performance. The method automatically constructs the vector differential equation of the complete system from (a) the vector differential equations describing the behavior of the components of the system and (b) the manner of their interconnection. A hill-climbing method is then used to select optimum values of the system's parameters to maximize a given index of performance. An example of the procedure applied to a high order system is included.
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  • 59
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    AIChE Journal 15 (1969), S. 442-449 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: An absolute rate theory based on a plausible model of the activated state, was developed for the interfacial kinetics of crystal growth from the melt. Except for liquid metals the theory predicts the growth rates of pure materials within about an order of magnitude. A microinterferometric technique was employed to observe liquid compositions near the faces of crystals growing from binary melts. For the simple eutectic system composed of salol and thymol, the theory represents the composition and temperature dependence of the growth rate.
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  • 60
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    AIChE Journal 15 (1969), S. 308-311 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 4 Ill.
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  • 61
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    AIChE Journal 15 (1969), S. 327-333 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The laminar boundary layers on a moving continuous flat surface in non-Newtonian fluids characterized by the power law model are investigated using exact and approximate methods. Both pseudoplastic and dilatant fluids are considered. Numerical solutions of the boundary-layer equations are obtained for values of the parameter n in the power law model ranging from 0.1 to 2.0. An integral solution of the momentum equation, which can be used to obtain values of the dimensionless shearing stress that are in good agreement with the exact values, is developed. An integral solution to the energy equation is also presented.
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  • 62
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    AIChE Journal 15 (1969), S. 357-362 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Forced convection heat transfer from vertical cylinders normal to an air-water spray flow stream was measured over an air velocity range from 60 to 140 ft./sec. and a water spray density range from 0.03 to 0.50 lb.m/(min.) (sq. in.). Local heat transfer coefficients were determined at 15 deg. intervals around the circumference of both a 1.5 and a 1.0 in. diam. cylinder. It was found that the addition of 0.426 lb.m/(min.) (sq. in.) of water spray to a 133 ft./sec. air stream raised the stagnation point heat transfer coefficient from 45 to 1,650 B.t.u./(hr.) (sq. ft.) (°F.). Similar intensification was found for other angles around the cylinder circumference; however, the magnitude decreased with increasing distance from the stagnation point. Local heat transfer coefficients were normalized with respect to their corresponding stognation point values and plotted parametrically as a function of angle and air velocity. These profiles showed that the normalized heat transfer coefficients decreased with increasing air velocity at angles other than the stagnation point. Average cylinder heat transfer coefficients were calculated from the air-water data and two correlations were obtained relating these coefficients to the air and the water spray Reynolds number.
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  • 63
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    AIChE Journal 15 (1969), S. 387-392 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A study was made of the radiolytic oxidation of cyclohexane in aqueous solution by using cobalt 60 gamma radiation. In the presence of dissolved oxygen gas the reaction proceeds irreversibly with the formation of a number of oxidation products. Those identified were cyclohexanol, cyclohexanone, and hydrogen peroxide. Trace quantities of carbon dioxide were also detected in the liquid phase. Using a constant dose rate of 15 × 104 rad./hr. in all runs, radiation yields were G(C6H11OH) = 0.49, and G(C6H10O) = 1.08. When molecular oxygen was excluded from the system, neither cyclohexanol nor cyclohexanone was formed on irradiation. A simplified kinetic model based on competition by the various solutes in the system for a single primary radical species produced by radiolysis of the solvent molecules is developed. Results generated using the mathematical model are compared with the experimental data. Excellent agreement between the observed and computed trends is noted at radiation doses up to 50 × 104 rad.
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  • 64
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    AIChE Journal 15 (1969), S. 414-418 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The optimal unsteady control of a jacketed tubular reactor with and without heat generation due to chemical reaction in response to a step disturbance in the feed stream concentration is computed. More rigorous control action was found to be necessary for the case with heat generation than without heat generation. Convergence of the method was also investigated with fixed and free final time.
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  • 65
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    AIChE Journal 15 (1969), S. 434-441 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: An analysis is performed of the strongly coupled heat and mass transfer processes which result from sublimation of mass from the walls of a duct into a flowing gas, the latent heat being provided solely by convective transfer from the gas. The flow is assumed to be laminar and hydrodynamically developed. Results are given for the streamward variations of the bulk and wall temperatures and mass fractions, of the heat and mass transfer rates, and of the local heat transfer coefficient. Representative temperature and mass fraction profiles are also presented. Entrance lengths characterizing the near approach to fully developed conditions are tabulated. Comparisons are made of the present results (based on a parabolic velocity profile) with those based on a slug flow velocity profile. A subsidiary analysis using the Lévěque model is also performed and the results compared with those of the principal solution.
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  • 66
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    AIChE Journal 15 (1969), S. 712-715 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The liquid that moves along the duct walls in the annular regime observed in gas-liquid flows often consists of a series of flow surges (roll waves) moving over a thin liquid film (base film). At a given gas velocity there is a critical flow rate of the liquid below which roll waves are not present. Measurements of the height and wall stress are presented to support the notion that the conditions in the base film are close to those which exist at the critical liquid flow rate.
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  • 67
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    AIChE Journal 15 (1969), S. 727-733 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Data are reported for heat transfer from water to melting ice spheres and for mass transfer in the case of dissolving spheres of pivalic acid suspended in water agitated in a stirred vessel. The transport coefficients are found to depend on agitator power input but not on agitator design, in agreement with the Kolmogoroff theory. These experimental results are used with others in the literature to develop a correlation involving Nusselt and Prandtl or Schmidt numbers together with a dimensionless group involving agitation power. The correlation is essentially independent of solid-liquid density ratio in the range 0.8 to 1.25, and in this range the gravity group also appears to be unimportant.
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  • 68
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    AIChE Journal 15 (1969), S. 592-596 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Heat transfer and pressure drop data were taken on commercial plate heat exchange equipment. Nusselt and Euler correlations were determined for each of the six commercial heat exchangers investigated. These correlations were combined to establish a single heat transfer-pressure drop relationship for any plate type of heat exchanger channel.The results of this investigation were tested by using the correlations developed in Part I of this series to predict pressure drop data for the commercial unit based on their channel geometries. These predicted pressure drops were then used with the results of this part of the series to predict and compare heat transfer data.The correlations developed in this work allow one to determine the heat transfer characteristics in a ribbed rectangular channel from the pressure drop characteristics of the channel in question.
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    AIChE Journal 15 (1969), S. 615-617 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 70
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    AIChE Journal 15 (1969), S. 829-836 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A generalized approach to reverse osmosis process design is presented for solution-membrane-operating systems characterized by the dimensionless parameters γ, θ, and λ defined in terms of the pure water permeability constant A, solute transport parameter (DAM/Kδ), mass transfer coefficient k on the high pressure side of the membrane, and the properties of the solution. Analytical expressions are derived, in terms of dimensionless quantities, for the change of volume of solution, concentration of the bulk solution and that of the concentrated boundary solution on the high pressure side of the membrane, the change in the permeating velocity of solvent water through the membrane, solute separation, and the other related quantities, at any instance, as a function of concentration of the product solution on the atmospheric pressure side of the membrane, or time from the start of the operation for reverse osmosis systems specified by γ, θ, and λ. The equations are applicable to membranes for which (DAM/Kδ) is independent of solute concentration and feed flow rate, and for aqueous feed solutions whose molar density can be assumed constant and whose osmatic pressure is proportional to mole fraction. The equations are developed first for the case of batch-by-batch operation, and their applicability to the flow case is then indicated.
    Additional Material: 13 Ill.
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  • 71
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    AIChE Journal 15 (1969), S. 861-865 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The final stages of condensation polymerization are characterized by a rapid rise in molecular weight, as the condensation product is formed and diffuses out of the polymer. The process occurring is one of desorption accompanied by a chemical reaction. The penetration theory equations for a generalized condensation polymerization reaction have been solved and some solutions are presented. The penetration theory solution, obtained by finite-difference computations, is compared with an analytical solution for the special case of no diffusional resistance.
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  • 72
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    AIChE Journal 15 (1969), S. 933-935 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: No Abstracts.
    Additional Material: 5 Ill.
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  • 73
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    AIChE Journal 15 (1969), S. 815-822 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Equations were developed for evaluating the laminar flow behavior of high-solids suspensions from the physical properties of the liquid and solid components. A technique was developed for calculating suspension flow rates as a function of pressure drop. The technique is applicable to the design of pipe lines. Flow measurements were made in pipe-line viscometers of a unique design that minimized entrance and exit effects. Experimental flow data were obtained for suspensions consisting of nickel, alumina, copper, or glass solids in sodium, xylene, or glycerine vehicles with solids concentrations of 28 to 55 vol. %. The basis for the correlation of the data was an analytical investigation of the flow behavior that considered the particle-particle interaction that takes place in a settled suspension. The correlation equations fit all systems investigated. They take into account the effects of liquid viscosity, liquid and solid densities, particle size, size distribution, particle surface area, volume fraction of solids in the suspension, and volume fraction of solids at maximum settled conditions.
    Additional Material: 4 Ill.
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  • 74
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    AIChE Journal 15 (1969), S. 853-860 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A realistic CSTR model was developed and verified experimentally. The reaction studied was the exothermic, base sodium hydroxide catalyzed decomposition of hydrogen peroxide. The model was used to evaluate the usefulness of the following stability analyses: steady state analysis, local linearization and Liapunov's direct method through Krasovskii's theorem. The effect of control valve hysteresis on the system was also investigated.
    Additional Material: 14 Ill.
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  • 75
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    AIChE Journal 15 (1969), S. 866-872 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The local volume average of the equation of motion is taken for an incompressible fluid flowing through a porous structure under conditions such that inertial effects may be neglected. The result has two terms beyond a pressure gradient: g, the force per unit volume which a flowing fluid exerts on a porous structure, and the divergence of the local volume-averaged extra stress tensor (viscous portion of the stress tensor).Constitutive equations for g are examined with the aid of the principle of material indifference. When g is assumed to be a function of the velocity of the fluid relative to the solid as well as various scalars, the usual results for a nonoriented (isotropic) porous structure are obtained. When g is assumed to be a function of the local porosity gradient as well, we derive a new expression for g applicable to oriented (anisotropic) porous structures.For a Newtonian fluid with a constant viscosity, the divergence of the local volume-averaged extra stress tensor is proportional to the Laplacian of the averaged velocity vector. Boundary conditions for the averaged velocity vector are discussed. Three problems are solved for the flow of an incompressible Newtonian fluid in a nonoriented permeable medium. These solutions, as well as an order-of-magnitude analysis, suggest that we may often neglect both the Laplacian of average velocity and the boundary conditions for the tangential components of averaged velocity at an impermeable wall.Two specific constitutive equations for g are proposed for the flow of incompressible Noll simple fluids in nonoriented porous structures. Flow through a porous medium bounded by an impermeable cylindrical surface is solved for these two constitutive equations, and the results are compared with previously available experimental data.
    Additional Material: 1 Ill.
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  • 76
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    AIChE Journal 15 (1969), S. 3-155 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 77
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    AIChE Journal 15 (1969), S. 4-10 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A dye tracer technique was utilized to measure the residence time distribution of the drops in a spray column, operating with a dispersed or a dense packing of drops, for a wide range of flow rates, in a 15 cm.in diameter, 150 to 160 cm. long column proper.For dispersed packing of drops and for flow rates below the onset of coalescence, the flow of the drops was approximately plug flow, with a variance of the residence time distribution of 0.095. For flow rates above the onset of coalescence within the column, the variance increased sharply to 0.55 and decreased at higher flow rates.For dense packing of drops the variance of the residence time distribution was in the range of 0.1 to 0.5. This variance is attributed to the effect of bypassing water and kerosene near the wall of the column. A mathematical model based on this effect showed reasonable fit with the experimental results. This model predicts an approach to plug flow of the drops for large diameter columns.
    Additional Material: 7 Ill.
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  • 78
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    AIChE Journal 15 (1969), S. 57-63 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A sensitivity matrix is defined as a measure of trajectory deviations to small parameter variations of both open and closed loop controlled nonlinear parabolic and first-order hyperbolic systems. In general the parameters may enter through the system equations or the boundary conditions and may be time or spatially dependent. The introduction of a positive measure of the sensitivity, the norm of the sensitivity matrix, into the performance index is shown to be effective in limiting the trajectory deviations due to the parameter variations. The open and closed loop control of a double pipe heat exchanger is analyzed with the open loop problem solved by an approximate procedure. The sensitivity reformulation is successful in reducing trajectory sensitivity, however at the cost of decreased overall performance.
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  • 79
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    AIChE Journal 15 (1969), S. 81-85 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Axial dispersion was studied experimentally for turbulent flow through a 1 1/4-in. piping system containing 90 deg. elbows. The Reynolds number range was 15,400 to 96,555. The imperfect pulse tracer technique was used with the axial dispersion numbers being obtained from the difference in variances of concentration-time curves observed at two points in the system.Elbows interconnected by short lengths of pipe with each succeeding one reversed so as to cause a change in the direction of flow, increased axial dispersion by 35 to 61% over that expected for straight pipe, while the same elbows turned so as to form a helix decreased the dispersion substantially; however, the amount of axial dispersion was still 8 to 22% greater than that observed for straight pipe.The equivalent lengths of the elbows depend upon both their arrangement and the Reynolds number. Closely placed, helically arranged elbows required equivalent lengths of from 2.9 to 5.1 diam., while a reversed arrangement required 6.9 to 11.6 diam. Elbows separated by a developing length and randomly arranged yielded an equivalent length range of 3.6 to 10.6 diam. The geometical l/d ratio of the elbows used was 2.05.
    Additional Material: 7 Ill.
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  • 80
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    AIChE Journal 15 (1969), S. 100-105 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A region into which particles arrive in a random manner, remain a random amount of time, and then leave is considered. This model is used in penetration theories of heat and mass transfer. From observations of the number of particles present at any time, it is desired to estimate arrival and exit statistics, residence time statistics, and average rates of transfer across the region. Assuming arrival is a Poisson process, equations governing the above statistics are derived. Some problems in spectral analysis arising from the use of nondifferentiable stochastic processes are solved. Estimators for important parameters are discussed, and it is shown that generally they are biased. A derivation linking the rate of transfer across the region with the rates of transfer of particles is obtained and compared with other such results.
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  • 81
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    AIChE Journal 15 (1969), S. 126-127 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 3 Ill.
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  • 82
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    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Differential equations were derived to describe the system characterized by a rapid, irreversible reaction of a fluid species in a flowing fluid with a fixed bed of solids in which the reaction rate was controlled by mass transfer of the reacting fluid from the bulk fluid to the reaction site in the solid. Two kinds of mass transfer resistances were assumed, external or film diffusion resistance, and internal pore diffusion resistance. The set of differential equations were solved by a finite-difference method for both the generalized case and for the specific case of reaction of hydrogen in a stream of helium with fixed beds of copper oxide pellets.The hydrogen-copper oxide reaction is one step in a proposed method for removal of hydrogen as a contaminant in the helium coolant of nuclear reactors. This reaction was experimentally investigated in tests with both differential and deep beds of copper oxide in the temperature range of 400 to 600°C., at pressures of 10.2 to 30.0 atm., with gas mass flow rates of 0.0050 to 0.050 g./sq.cm.-sec, and with inlet hydrogen concentrations of 0.0008 to 1.21 vol. %. These tests showed that the system could be described by the two rate-limiting steps: film and pore diffusion of hydrogen. Differential-bed tests were used to establish hydrogen transport properties within the porous copper oxide pellets, and tests with deep beds were used to establish external mass transport properties.Generalized breakthrough curves were determined by a computer solution of the mathematical model. These curves can be the basis for design of fixed-bed copper oxide oxidizers for gas-cooled, nuclear reactor purification systems and for design of any fixed-bed system which follows the assumed reaction mechanism.
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  • 83
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    AIChE Journal 15 (1969), S. 133-135 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 3 Ill.
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  • 84
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    AIChE Journal 15 (1969), S. 136-137 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 2 Ill.
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  • 85
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    AIChE Journal 15 (1969), S. 144-146 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 3 Ill.
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  • 86
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    AIChE Journal 15 (1969) 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 87
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    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 88
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    AIChE Journal 15 (1969), S. 171-177 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Liapunov's direct method is used to establish a finite region of asymptotic stability for nonlinear systems with an arbitrary number of state variables. The procedure is a geometric one in multidimensional space which uses the Fletcher-Powell minimization technique to find the maximum time derivative of the Liapunov function on the closed Liapunov hypersurface. Three detailed examples are presented, the first being the classical 2-variable CSTR with heat transfer and the third being a 32-variable 16-stage model of an adiabatic tubular reactor with axial diffusion.
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  • 89
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    AIChE Journal 15 (1969), S. 194-199 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A shell progressive kinetic model is used to determine the temperature rise in a spherical pellet for a gas-solid diffusion controlled reaction. The effects of heat and mass transfer resistances in the gas film as well as inside the pellet are investigated. The predicted temperature rise may be severe enough to cause sintering to catalyst pellets in which reactions such as combustion of coke occur.
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  • 90
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    AIChE Journal 15 (1969), S. 220-226 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 4 Ill.
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  • 91
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    AIChE Journal 15 (1969), S. 208-214 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Experiments have been carried out to measure the permeation of tritium-labeled toluene through polyethylene films fully swollen with chlorobenzene, mesitylene, cumene, toluene, ethylbenzene, cyclohexane, tetrahydronaphthalene, and decahydronaphthalene. The results show characteristic Arrhenius temperature dependence over the range 25 to 40°C. The permeation of toluene through the films appears to be enhanced by increased solubility of the swelling agent (estimated from the work of others) in the film and there also appears to be a rough correlation between permeability of toluene and the boiling points and vapor pressures of the swelling agents. The range of permeabilities measured at 25°C. is 2.09 × 10-7 to 0.51 × 10-7 sq.cm./sec., the extremes of measured permeation activation energy, Ep, are 11.41 to 16.68 kcal./mole, and the pre-exponential factor, Po, falls within the interval 36.59 to 1.29 × 105 sq.cm./sec. A very definite linear relationship or compensation effect is evident between Po and Ep. Except as mentioned above, none of these quantities appears to correlate uniformly with the following properties of swelling solvent: molecular weight, dipole moment, specific gravity, vapor pressure, boiling point, heat of vaporization, critical temperature, viscosity, surface tension, molar volume, molecular area or other molecular dimensions.
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  • 92
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    AIChE Journal 15 (1969), S. 245-249 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Oxidation-reduction rates have been determined in stirred liquid-liquid systems wherein tetravalent cerium ions in a continuous aqueous phase were reduced by tetrachlorohydroquinone contained in dispersed organic droplets. Kinetic data obtained (using low volume fractions (〈0.06) of dispersed organic phase) indicate that the rate of reduction of ceric cerium is proportional to the extent of the interfacial area of the stirred liquid-liquid system. Two possible rate-limiting mechanisms are discussed to explain the observed kinetic behavior.This liquid-liquid electron exchange system might find potential use as a chemical tool for measuring changes in interfacial area as influenced by various mixing parameters.
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  • 93
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    AIChE Journal 15 (1969), S. 256-263 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Pressure-temperature data were obtained along isenthalps for nitrogen, methane, and three ternary nitrogen-methane-ethane mixtures. These data were differentiated to obtain Joule-Thomson coefficients over the temperature range from ambient to 200°K. and at pressures from 165 atm. to about 5 atm. Data for nitrogen was obtained down to 140°K.The resulting Joule-Thomson coefficients were compared with predictions based on the Beattie-Bridgeman and Benedict-Webb-Rubin equations of state and on the virial equation of state truncated after the third virial coefficient. These comparisons show that the Benedict-Webb-Rubin equation could predict the data with a deviation averaging 1.7%. The Beattie-Bridgeman predictions were highly dependent upon the mixture rules used, with the best set of mixture rules giving an absolute average deviation of 4.8%. Predictions using the virial equation with virial constants obtained from the Lennard-Jones potential energy function using a geometric mean minimum potential energy deviated from the experimental data by 5%.In all of these comparisons, the virial coefficients of ethane appear to be in greatest uncertainty, and the predictions of mixture data high in ethane least satisfactory. Thus it appears that improved data on the pure components, particularly ethane, are vital to any satisfactory evaluation of mixture properties.
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  • 94
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    AIChE Journal 15 (1969), S. 281-288 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The effects of ultrasonic vibrations on heat transfer to water and methanol by natural convection and by boiling were measured at three ultrasonic energy levels with frequency ranging from 20.6 to 306 kcycles/sec., using electrically heated platinum wires of diameters 0.007 and 0.010 in. Up to an eight-fold increase in heat transfer coefficient was obtained in natural convection, but the effects diminished with increased temperature difference and became negligible in the well-developed nucleate boiling region. High-speed photographs showed that the increase was due to the motion of cavitation bubbles on the wire surface. The heat transfer results were correlated by local cavitation activity values measured by a technique developed for this work.
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  • 95
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    AIChE Journal 15 (1969), S. 301-303 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 3 Ill.
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  • 96
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    AIChE Journal 15 (1969), S. 475-476 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 97
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    AIChE Journal 15 (1969), S. 323-327 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A laser doppler flowmeter is used to obtain velocity profiles in circular glass tubes downstream from a plug composed of brass screens. The apparatus for measuring point velocities of particles suspended in a fluid is described. Measurements were made very close to the plug at Reynolds numbers of 16.5, 47, and 274, and the flow development followed down the tube. The results show that the entrance flow development is dependent on the inlet profile shape and the Reynolds number for Reynolds numbers below 300.The flow development at Reynolds numbers less than 300 was considerably slower than that predicted by the boundary-layer solution of the equations of motion starting with a flat profile.
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  • 98
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    AIChE Journal 15 (1969), S. 339-350 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: When a porous solid is penetrated by a reactive fluid which changes the pore geometry, the macroscopic properties of that porous material may be greatly changed. A model is proposed in which the matrix is visualized as being a number of short cylindrical pores dispersed randomly throughout the solid. The change in the distribution of these cylindrical pores is then represented by a integrodifferential equation which is solved for two special cases.The evolution of the pore size distribution is determined by the particular way in which the solid-liquid boundary takes place. The case considered here is that of a surface reaction which dissolves the solid thus continuously enlarging the pores. The rate of reaction is calculated theoretically using a laminar flow diffusion model and this growth rate expression is then taken as the basis for numerical calculations relating to the action of dilute hydrochloric acid on limestone.A comparison is made with experimental results and it is found that the model behaves in much the same way as the real system although the observed rate of pore growth was two to three times that predicted by the diffusion model. Several possible explanations for this discrepancy are being tested.An exact solution of the integrodifferential equation for highly retarded reaction rates has been found with the change in permeability being given in terms of the change in porosity. This result will permit a prediction of the stimulation that can be achieved in acidizing oil wells with retarded acids.
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  • 99
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    AIChE Journal 15 (1969), S. 379-383 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The stability of high speed laminar Newtonian jets is studied as a function of ambient air pressure. For Weber numbers less than 5.3 (based on air density) air pressure has no effect on stability. Ambient viscosity, through the effect of shear stresses acting on the jet surface, gives rise to the maximum in the breakup curve. For large Weber numbers ambient pressure effects can alter, and eventually control, the appearance of the maximum.
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  • 100
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    AIChE Journal 15 (1969), S. 393-400 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The gradient technique and Lagrange multiplier are used to obtain the optimum of complex chemical plants. The advantage of this approach is its ability to handle nearly all types of complex stages in a natural way. This approach is used to solve a heterogeneous complex chemical process with recycle. It is shown that although there are many different iteration loops, the convergence rate is fast even with rough starting values and only 0.3 minute is needed to obtain the optimum operating conditions.
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