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Flow of a viscoelastic fluid between eccentric cylinders

III. Poiseuille flow
  • R. S. Rivlin
  • B. Y. Ballal

Abstract

In Part I (1) we have discussed the flow of an incompressible non-Newtonian fluid in the annular region between two infinite cylinders with parallel axes, which results from the steady longitudinal motion of one cylinder relative to the other. The motion was considered to be sufficiently slow so that the second-order Rivlin-Ericksen constitutive equation is applicable. In the present paper we consider the problem in which both cylinders are stationary and the flow results from a uniform constant longitudinal pressure gradient.

Keywords

Poiseuille Flow Viscoelastic Fluid Outer Cylinder Transverse Force Annular Region 
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References

  1. 1).
    Ballal, B. Y., R. S. Rivlin, Rheol. Acta 14, 484 (1975).CrossRefGoogle Scholar
  2. 2).
    Jones, J., J. de Mécanique 3, 79 (1964).Google Scholar
  3. 3).
    MacDonald. H. M., Proc. Camb. Phil. Soc. 8, 92 (1893).Google Scholar
  4. 4).
    Pipkin, A. C., R. I. Tanner, Survey of Theory and Experiment in Viscometric Flows of Viscoelastic Liquids, in: Mechanics Today, Vol. I (1973).Google Scholar

Copyright information

© Springer Science+Business Media New York 1979

Authors and Affiliations

  • R. S. Rivlin
    • 1
  • B. Y. Ballal
    • 2
  1. 1.Center for the Application of MathematicsLehigh UniversityBethlehemUSA
  2. 2.Illinois Institute of TechnologyChicagoUSA

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