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The hydrodynamics of non-Newtonian fluids. II

Published online by Cambridge University Press:  24 October 2008

R. S. Rivlin
R. S. Rivlin
Affiliation:
British Rubber Producers' Research AssociationWelwyn Garden City, England
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Extract

In this paper, the general hydrodynamic theory of visco-inelastic, incompressible, non-Newtonian fluids, developed in a previous paper (l), is applied to the problem of the flow of such a fluid through a tube of circular cross-section. It is found that the absolute values of the normal stress components are no longer uniform over a cross-section of the tube normal to its axis, as in the case of Newtonian fluids obeying the laws of classical hydrodynamics.

However, the pressure difference, between points at equal radii on two planes normal to the axis, is independent of the position of these points on the planes.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 45 , Issue 1 , January 1949 , pp. 88 - 91
Copyright
Copyright © Cambridge Philosophical Society 1949

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References

REFERENCES

(1)Rivlin, R. S.Proc. Roy. Soc. A, 193 (1948), 260.Google Scholar
(2)Mooney, M.J. Bheol. 2 (1931), 210.Google Scholar