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Pulsatile flow of an elastico-viscous liquid in a channel of elliptic cross-section

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Summary

The pulsatile flow of an elastico-viscous liquid through an elliptic tube is considered in this note. The problem is solved as a boundary and initial value problem by using the Laplace Transform method. Explicit expressions for velocity distribution are obtained in the two limiting cases of small and large values of time. The effect of elasticity on the flow is discussed analytically.

Zusammenfassung

In dieser Mitteilung wird die pulsierende Strömung einer viskoelastischen Flüssigkeit durch ein elliptisches Rohr betrachtet. Das Problem wird als Anfangs- und Randwertproblem mit Hilfe der Laplace-Transformation gelöst. Explizite Ausdrücke der Geschwindigkeitsverteilung werden für die beiden Grenzfälle kurzer und langer Zeiten angegeben. Die Wirkung der Elastizität auf die Strömung wird analysiert.

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, 700032, Calcutta, India

    A. K. Ghosh & S. R. Khamrui

Authors
  1. A. K. Ghosh
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  2. S. R. Khamrui
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Ghosh, A.K., Khamrui, S.R. Pulsatile flow of an elastico-viscous liquid in a channel of elliptic cross-section. Rheol Acta 17, 227–230 (1978). https://doi.org/10.1007/BF01535058

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  • DOI: https://doi.org/10.1007/BF01535058

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