Steady Flow of Non-Newtonian Fluids Through Tubes

  • A. E. Green
  • R. S. Rivlin


The stress-rate of deformation relation for an isotropic fluid, in which the stress at any point is assumed to depend only on the velocity gradients at that point, has been considered by Reiner [1]** and by Rivlin [2].


Body Force Steady Flow Deformation Relation Original Flow Velocity Vector Versus 
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  1. 1.
    M. Reiner, Amer. J. Math 67, 350–362 (1945)CrossRefGoogle Scholar
  2. 2.
    R. S. Rivlin, Proc. Roy. Soc. A193, 260–281 (1948)CrossRefGoogle Scholar
  3. 3.
    R. S. Rivlin, Proc. Cambridge Phil. Soc. 45, 88–91 (1949)CrossRefGoogle Scholar
  4. 4.
    J. L. Ericksen, Quart. Appl. Math., in the pressGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • A. E. Green
    • 1
  • R. S. Rivlin
    • 1
  1. 1.Brown UniversityUSA

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