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  • Polymer and Materials Science  (5)
  • 15A48  (3)
  • 1
    Digitale Medien
    Digitale Medien
    On theR-order of coupled sequences arising in single-step type methods (1988)
    Springer
    Numerische Mathematik 53 (1988), S. 653-661 
    Details
    ISSN: 0945-3245
    Schlagwort(e): AMS(MOS): 65H10 ; 15A48 ; CR: G1.5
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Summary As shown in preceding papers of the authors, the verification of anR-convergence order τ for sequences coupled by a system (1.1) of basic inequalities can be reduced to the positive solvability of system (3.3) of linear inequalities. Further, the bestR-order $$\bar \tau$$ implied by (1.1) is equal to the minimal spectral radius of certain matrices composed from the exponents occuring in (1.1). Now, these results are proven in a unified and essentially simpler way. Moreover, they are somewhat extended in order to facilitate applications to concrete methods.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01397134
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  • 2
    Digitale Medien
    Digitale Medien
    On the R-order of coupled sequences III (1983)
    Springer
    Computing 30 (1983), S. 157-169 
    Details
    ISSN: 1436-5057
    Schlagwort(e): 65H10 ; 15A48 ; Iterative parallel processes ; best individualR-orders ; ordered positive decomposition
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik
    Beschreibung / Inhaltsverzeichnis: Zusammenfassung Für konvergente Folgen {x n,1 },...,{x n,s }, welche über ein System (2) von Ungleichungen miteinander verkoppelt sind, werden die besten individuellenR-Ordnungen τ1,...,τ s bestimmt. Dazu wird gezeigt, daß diese gleich den Spektralradien von bestimmten Matrizen sind, welche aus Exponenten in (2) gebildet werden.
    Notizen: Abstract For convergent sequences {x n,1 },...{x n,s } coupled by a system (2) of inequalities the optimal individualR-orders τ1,...,τ s are determined as the spectral radii of certain matrices composed of exponents appearing in (2).
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02280786
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  • 3
    Digitale Medien
    Digitale Medien
    Determination of the cone radius for positive concave operators (1984)
    Springer
    Computing 33 (1984), S. 37-49 
    Details
    ISSN: 1436-5057
    Schlagwort(e): 65H10 ; 90C30 ; 15A48 ; Iterative processes ; bestR-orders ; cone radius of concave operators ; spectral radii ; partial ordering
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik
    Beschreibung / Inhaltsverzeichnis: Zusammenfassung Die Berechnung der bestenR-Ordnung von Folgen aus iterativen Näherungsverfahren führt auf die Ermittlung des hier eingeführten Kegelradius bestimmter konkaver Operatoren. Das Hauptergebnis der Arbeit ist die Darstellung des Kegelradius als Infimum der Spektralradien aller den konkaven Operator majorisierenden linearen Operatoren. Diese Charakterisierung ist von numerischem Intersse.
    Notizen: Abstract The computation of bestR-orders of sequences produced by iterative methods leads to the determination of the cone radius of certain concave operators. The main result of the paper is the representation of the cone radius as the infimum of spectral radii of all linear operators majorizing the concave operator. This characterization is of numerical interest.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02243074
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  • 4
    Digitale Medien
    Digitale Medien
    On the factors governing the pressure dependence of the viscosity of moderately concentrated polymer solutionsPart of theses of H. G. and J. R. S. (1982)
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Applied Polymer Science 27 (1982), S. 1277-1291 
    Details
    ISSN: 0021-8995
    Schlagwort(e): Chemistry ; Polymer and Materials Science
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Maschinenbau , Physik
    Notizen: Viscosity measurements were carried out as a function of pressure and temperature with solutions of polystyrene in eight (endothermal) θ-solvents at the respective critical composition by means of a Searle-type apparatus. A rolling-ball viscometer was used for the investigation of the pure solvents. In all cases the viscosity coefficient increases in a more or less exponential manner when the pressure is raised. For θ-conditions, the volumes of activation of the solutions exceed that of the pure solvent by typically 10-15%. The exact amount of this extra efffect stemming from the presence of the polymer and its variation with temperature can be qualitatively correlated with the heats of mixing. The ratio of the viscosity of the solution at 1000 and 1 bar, respectively, can be varied for a given solvent power (θ-temperature) by the choice of the solvent from ca. 2 (cyclopentane) to 4 (trans-decalin). Within a given system, the maximum effects that can be realized by a change of the solvent power via the variation of temperature ranges from ca. 3 to 6 (tert-butylacetate).
    Zusätzliches Material: 14 Ill.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/app.1982.070270417
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  • 5
    Digitale Medien
    Digitale Medien
    Auslegung von Zyklonabscheidern für Notentlastungssysteme (1995)
    Weinheim : Wiley-Blackwell
    Chemie Ingenieur Technik - CIT 67 (1995), S. 1126-1127 
    Details
    ISSN: 0009-286X
    Schlagwort(e): Chemistry ; Polymer and Materials Science
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Werkstoffwissenschaften, Fertigungsverfahren, Fertigung
    Zusätzliches Material: 1 Ill.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/cite.330670965
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  • 6
    Digitale Medien
    Digitale Medien
    Thermische Zerlegung von Gas- und FlüssigkeitsgemischenBerichterstatter: Dipl.-Ing. J. Schmidt, Universität - GH Essen, Thermische Verfahrenstechnik, Postfach 10 37 64, 4300 Essen 1. (1990)
    Weinheim : Wiley-Blackwell
    Chemie Ingenieur Technik - CIT 62 (1990), S. 435-439 
    Details
    ISSN: 0009-286X
    Schlagwort(e): Chemistry ; Polymer and Materials Science
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Werkstoffwissenschaften, Fertigungsverfahren, Fertigung
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/cite.330620528
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  • 7
    Digitale Medien
    Digitale Medien
    Polymerization with redox initiators. II. The system styrene-benzoyl peroxide-dimethylaniline at elevated temperatures (1960)
    Hoboken, NJ : Wiley-Blackwell
    Journal of Polymer Science 45 (1960), S. 189-194 
    Details
    ISSN: 0022-3832
    Schlagwort(e): Chemistry ; Polymer and Materials Science
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Kinetic measurements have been made on the bulk polymerization of styrene at 30 and 60°C. in the redox system dimethylaniline-benzoyl peroxide. From these measurements it has been ascertained that the kinetic behavior of this system at higher temperatures is the same as that at lower temperatures. The decomposition rate constant and the efficiency in initiating polymerization were determined. It has also been shown that neither the amine nor the products of the amine-peroxide reaction affect the propagation of the polymerization.
    Zusätzliches Material: 3 Ill.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/pol.1960.1204514519
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  • 8
    Digitale Medien
    Digitale Medien
    Designing of extrusion lines (1993)
    Hoboken, NJ : Wiley-Blackwell
    Advances in Polymer Technology 2 (1993), S. 75-106 
    Details
    ISSN: 0730-6679
    Schlagwort(e): Chemistry ; Polymer and Materials Science
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Maschinenbau
    Notizen: The design of extrusion lines deals with the extruder and the die as well as with the down stream equipment, especially the cooling section. This paper aids in the design of these three units, regarding different aspects. The scale-up of extruders by means of the model theory is demonstrated in its practical use with examples. Emphasis is laid on the design of series of single screw extruders with mixing-pins and of twin-screw extruders (scale-up). There the adequate selection of the necessary restrictions for the compilation of model laws is discussed in detail. This is an approach to the safe machine design on the basis of model theory.The present standard of the calculation of threedimensional flow patterns in extrusion dies by means of the finite-element-method (FEM) is shown in order to point out how design-aids for the die-designer are derived from these calculations. After a discussion of application-criteria for the FEM, examples will show possible ways of using FEM-results.For the shaping of Y-branches in twin-screw machines the FEM-results point to possible plate-out areas and to their avoidance by geometrical modifications. The calculation of a die for a T-profile helps to design the passages between entry and exit sections. Finally, flow coefficients for the calculation of pressure losses in different cross sections are given.The design and optimization of cooling sections, as it can be done with the aid of the actual cooling models, is shown for some important extrusion processes. Heat transfer coefficients for practical cases (film-sheet-, pipe- and parison extrusion) are presented. Examples show, how diagrams for the design and optimization of cooling sections (for example the reduction of internal stresses and warping) can be made, using a microcomputer.
    Zusätzliches Material: 31 Ill.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/adv.1993.060020203
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