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  • 1
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 20 (1974), S. 981-988 
    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 linear stability of thermally stratified horizontal two-phase Couette flow is analyzed for the case of a constant vertical temperature gradient. Instabilities driven by buoyancy, surface tension gradients, or shear are allowed for. It is shown that the instability can take three possible forms: streamwise oriented roll vortices, long interfacial waves, and short Tollmien-Schlichting waves. It is shown that the stability limits for rolls are identical to those for plane, stagnant layers. A long wave expansion is presented and the stability limits for this mode are given algebraically. The nonexistence of a Squire's Theorem is demonstrated and some numerical experiments at moderate Reynolds numbers are described. Detailed comparisons with previous work are possible for only one fluid pair, but it is shown that reasonably accurate statements may be made to determine which mode may manifest itself in any given experimental situation.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 20 (1974), S. 1161-1167 
    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 method of energy is used to determine global stability limits for thermally stratified two-phase plane Couette flow. Instabilities due to surface tension variations, buoyancy effects, and shear are allowed for, but surface waves are specifically excluded from consideration. Under these assumptions, the Marangoni, Rayleigh, and Reynolds numbers completely describe the system. Stability plots, valid for disturbances of any magnitude, are presented for both streamwise oriented roll vortices and two-dimensional transversely oriented disturbances. It is shown that rolls are the most dangerous disturbances in the sense that they cannot be shown to be stable relative to transverse disturbances at any nonzero Reynolds numbers. Comparisons are made with existing linear limits, and these are seen to be close only for moderate Reynolds numbers.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 22 (1976), S. 168-174 
    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 a thermally stratified, saturated porous media through which mass is being ejected is considered theoretically. The stability parameter is a flow modified D'Arcy-Rayleigh number and is a function of a single scalar variable, the dimensionless through-flow strength. Results of both linear and energy theory are given, and it is seen that the fluid can lose stability by either a buoyantly driven mode or by a continuous analogue of the Saffman-Taylor mode.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 16 (1970), S. 496-498 
    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 Tab.
    Type of Medium: Electronic Resource
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  • 5
    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 theoretical and experimental investigation of a water jet impinging on a melting solid surface has been carried out. Ice, octane, p-xylene, and olive oil served as the meltable solid materials, comprising a Prandtl number range of 5 to 2 800. An available laminar stagnation flow model was utilized to describe melting heat transfer in the jet impingement region. Melting rate measurements were found to agree quite well with the values predicted with this model.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
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  • 6
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: 1,3-Dipolar Cycloadditions, 82. Kinetics and Mechanism of the Cycloadditions of C-(2,2′-Biphenylylen)-Nα-(4-chlorphenyl)-Nβ-cyan-azomethinimine ImineThe cycloaddition rates of the title compound to 22 dipolarophiles in chlorobenzene was measured photometrically; the k2 values range over more than 4 powers of ten. Conjugation as well as electron-attracting and -releasing substitution in the ethylenic dipolarophile increase the activity. The azomethine imine 1 belongs to those 1,3-dipoles for which both HOMO-LUMO interactions with the dipolarophile influence the energy of the transition state to a comparable extent. The activity scale of dipolarophiles is compared with those which were measured versus N-methyl-C-phenylnitrone, diphenylnitrilimine and benzonitrile oxide. 1,3-Dipoles of the allyl type, in contrast to the ones of the propargyl-allenyl type, react especially fast with acetylenic carboxylic esters. - The activation entropies of the cycloadditions of 1 amount to -29 to -35 e. u. - With increasing solvent polarity the k2 values of the reaction of 1 with dimethyl acetylenedicarboxylate is reduced 6 fold. The dipole moments of reactants and adduct suggest a decrease of charge separation in the activation process of the concerted cycloaddition.
    Notes: Die Geschwindigkeit der Cycloadditionen der Titelverbindung an 22 Dipolarophile wurde in Chlorbenzol photometrisch gemessen; die k2-Werte überstreichen mehr als 4 Zehnerpotenzen. Konjugation sowie elektronen-anziehende oder -liefernde Substitution im ethylenischen Dipolarophil erhöhen die Aktivität. Das Azomethin-imin 1 gehört zu den 1,3-Dipolen, bei denen beide HOMO-LUMO-Wechselwirkungen in gleicher Größenordnung die Energie des Übergangszustandes der Cycloaddition beeinflussen. Die Aktivitätsskala der Dipolarophile wird mit denen, die gegenüber N-Methyl-C-phenylnitron, Diphenylnitrilimin und Benzonitriloxid gemessen wurden, verglichen. 1,3-Dipole vom Allyl-Typ reagieren im Gegensatz zu denen des Propargyl-Allenyl-Typs rascher mit Acetylencarbonestern als mit Ethylencarbonestern. - Aktivierungsentropien von -29 bis -35 Clausius wurden gemessen. - Mit steigender Solvenspolarität fällt der k2-Wert der Cycloaddition von 1 an Acetylendicarbonester um den Faktor 6; die Dipolmomente von Reaktanten und Addukt lassen eine Verminderung der Ladungstrennung im Aktivierungsvorgang der konzertierten Cycloaddition erwarten.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Zeitschrift für die chemische Industrie 90 (1978), S. 478-479 
    ISSN: 0044-8249
    Keywords: Chemistry ; General Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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  • 8
    ISSN: 0570-0833
    Keywords: Chemistry ; General Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Angewandte Chemie International Edition in English 18 (1979), S. 377-392 
    ISSN: 0570-0833
    Keywords: Orbital symmetry ; Woodward-Hoffmann rules ; Kinetics ; Chemistry ; General Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The influence of molecular symmetry on reaction rates is examined with an approach in which reactions are viewed as electronic transitions between states of reacants and products (described, in turn by quasiadiabatic potential surface). The moleculer Hamiltonian is used to derive selection rules for these transitions. The complete Hamilatonian has no useful symmetery. Neglect of non-Born-Oppenheimer and spin-orbit terms (and of other angular momentum coupling terms) leads to an apporixmate Hamiltonian and to selection rules which from the basis of the Woodward-Hoffmann rules. This apporch provides an alternative to the adiabatic potantial surfaces, reaction coordinates, and transition state theory used in more familiar discussions of the Woodward-Hoffmann rules. Further, it provides a particulary clear method for discussing violations of these symmetry rules, and for differentiating concerted and nonconcerted reactions.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Angewandte Chemie International Edition in English 17 (1978), S. 453-454 
    ISSN: 0570-0833
    Keywords: Chemistry ; General Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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