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  • 1
    Electronic Resource
    Electronic Resource
    A semi-empirical model for flow of blood and other particulate suspensions through narrow tubes (1975)
    Springer
    Bulletin of mathematical biology 37 (1975), S. 459-470 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A semi-empirical model applicable to the flow of blood and other particulate suspensions through narrow tubes has been developed. It envisages a central core of blood surrounded by a wall layer of reduced hematocrit. With the help of this model the wall layer thickness and extent of plug flow may be calculated using pressure drop, flow rate and hematocrit reduction data. It has been found from the available data in the literature that for a given sample of blood the extent of plug flow increases with decreasing tube diameter. Also for a flow through a given tube it increases with hematocrit. The wall layer thickness is found to decrease with increase in blood hematocrit. A comparison between the results of rigid particulate suspensions and blood reveals that the thicker wall layer and smaller plug flow radius in the case of blood may be attributed to the deformability of the erythrocytes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459514
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Numerical determination of Cauchy principal value integrals (1981)
    Springer
    Computing 27 (1981), S. 373-378 
    Details
    ISSN: 1436-5057
    Keywords: Principal value integrals ; isolated singularities ; poles ; Laurent's expansion ; analytic ; degree of precision ; (1970) Primary 65 D 30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Es wird eine Quadraturformel zur numerischen Auswertung des Cauchyschen Hauptwertes eines Integrals vom Typ $$\int\limits_{ - 1}^1 {f(x)/(x - a) dx} $$ angegeben, wo −1〈a〈1 ist undf(x) eine Singularität im Komplexen in der Nähe des Integrationsweges besitzt. Eine Fehleranalyse wird durchgeführt.
    Notes: Abstract A quadrature rule for numerical evaluation of Cauchy principal value integrals of the type $$\int\limits_{ - 1}^1 {f(x)/(x - a) dx} $$ where −1〈a〈1 andf(x) possesses complex singularities near to the path of integration has been formulated. An analysis of the error has been provided.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02277187
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Approximate evaluation of multiple complex integrals of analytic functions (1983)
    Springer
    Computing 30 (1983), S. 279-283 
    Details
    ISSN: 1436-5057
    Keywords: (1970) Primary 65 D 30 ; Analytic function ; multiple integral ; product rule ; degree of precision ; error estimate
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Zur numerischen Auswertung mehrfacher Integrale analytischer Funktionen vonn komplexen Veränderlichen wird eine nicht-produktartige Formel vom Grad 5 mit 4 n +1 Punkten konstruiert, bei der einige der 5 n Knotenpunkte entbehrlich werden, die sich durch Produktbildung aus der 5-Punkt-Formel vom Grad 5 von Birkhoff und Young ergeben. Eine asymptotische Fehlerschätzung für den Falln=2 wird angegeben.
    Notes: Abstract For the numerical evaluation of multiple integrals of analytic functions ofn complex variables, a (4 n +1)-point degree five non-product rule has been constructed discarding certain points from the set of 5 n nodes needed in the product layout based on the five point degree five rule due to Birkhoff and Young. An asymptotic error estimate for the casen=2 has been determined.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02253899
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    Paper (German National Licenses)
    Fulltext
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