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Slow viscoelastic flow in tilted troughs

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Summary

In viscoelastic flow of an incompressible fluid down a straight trough of arbitrary cross-section, the normal stress effect produces a distortion of the free surface. In slow flow, the shape is given in the lowest order of approximation in terms of the axial velocity for Newtonian flow. Equations governing the second-order perturbation are derived.

Zusammenfassung

Beim viskoelastischen Strömen einer inkompressiblen Flüssigkeit entlang einer geneigten geraden Rinne beliebigen Querschnittes erzeugt der Normalspannungseffekt eine Verzerrung der freien Oberfläche. Deren Form ist bei langsamer Strömung in erster Näherung durch die Axialgeschwindigkeit fürNewtonsche Strömung bestimmt. Die Gleichungen der Näherung zweiter Ordnung werden hergeleitet.

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Author notes

  1. A. S. Wineman

    Present address: University of Michigan, Ann Arbor, Michigan

Authors and Affiliations

  1. Division of Applied Mathematics, Brown University, Providence, Rhode Istand, USA

    A. S. Wineman &  A. C. Pipkin

Authors
  1. A. S. Wineman
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  2. A. C. Pipkin
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Wineman, A.S., Pipkin, A.C. Slow viscoelastic flow in tilted troughs. Acta Mechanica 2, 104–115 (1966). https://doi.org/10.1007/BF01176732

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  • DOI: https://doi.org/10.1007/BF01176732

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