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The flow of a micropolar liquid layer down an inclined plane

Published online by Cambridge University Press:  24 October 2008

A. J. Willson
Affiliation:
University of Leicester

Abstract

Consideration is given to the flow of a micropolar liquid down an inclined plane. The steady state is analysed and Yih's technique is employed in an investigation of the stability of this flow with respect to long waves. Detailed calculations are given for thin films and it is shown that the micropolar properties of the liquid play an important role in the stability criterion.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

(1)Benjamin, T. B.J. Fluid Mech. 2 (1957), 554.CrossRefGoogle Scholar
(2)Yih, C. S.Proceedings of the Second U.S. National Congress of Applied Mechanics (American Society of Mechanical Engineers, New York, 1955), 623.Google Scholar
(3)Yih, C. S.Phys. Fluids 6 (1963), 321.CrossRefGoogle Scholar
(4)Kao, T. W.Phys. Fluids 8 (1965), 812.CrossRefGoogle Scholar
(5)Kao, T. W.Phys. Fluids 8 (1965), 2190.CrossRefGoogle Scholar
(6)Yih, C. S.Phys. Fluids 8 (1965), 1257.CrossRefGoogle Scholar
(7)Gupta, and Lajpat Rai, , Proc. Cambridge Philos. Soc. 63 (1967), 527.CrossRefGoogle Scholar
(8)Lai, Wei, Phys. Fluids 10 (1967), 844.CrossRefGoogle Scholar
(9)Benjamin, T. B.Arch. Mech. Stos. 16 (1966), 615626.Google Scholar
(10)Eringen, A. C.Internet. J. Engrg. Sci. 2 (1964), 205.CrossRefGoogle Scholar
(11)Eringen, A. C.Proc. XI Intern. Congress of Appl. Mech. (Springer-Verlag, 1965).Google Scholar
(12)Eringen, A. C.J. Math. Mech. 16 (1966), 118.Google Scholar
(13)Yih, C. S. J.Fluid Mech. 27 (1967), 337352.CrossRefGoogle Scholar