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Unsteady flow of an elastico-viscous liquid

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Summary

Consideration is given to the reasons why theColeman- andNoll second order fluids are unsuitable for use in the solution of unsteady flow problems for elasticoviscous liquids, especially whenLaplace transforms are used. A number of unsteady flow problems are then solved using a constitutive equation of the „integral” type. The presence of elasticity in the liquid is shown to have quite a dramatic effect on the velocity profiles.

Zusammenfassung

Es werden die Gründe betrachtet, aus denen dieColeman- undNoll-Flüssigkeiten nicht geeignet sind, um Probleme der instationären Strömung elastoviskoser Flüssigkeiten zu lösen, besonders wennLaplace-Transformationen benutzt werden. Einige Probleme des instationären Fließens werden dann mit Hilfe einer Zustandsgleichung vom Integraltyp gelöst. Es wird abschließend gezeigt, daß eine in der Flüssigkeit vorhandene Elastizität einen starken Einfluß auf die Geschwindigkeitsprofile hat.

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Author notes

  1. N. D. Waters

    Present address: Department of Applied Mathematics, University of Liverpool, England

  2. M. J. King

    Present address: Department of Mathematics, Liverpool Polytechnic, Byron Street, L3 3 AF, Liverpool, England

Authors and Affiliations

  1. Department of Applied Mathematics, University of Liverpool, England

    M. J. King

Authors
  1. N. D. Waters
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  2. M. J. King
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Waters, N.D., King, M.J. Unsteady flow of an elastico-viscous liquid. Rheol Acta 9, 345–355 (1970). https://doi.org/10.1007/BF01975401

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  • DOI: https://doi.org/10.1007/BF01975401

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