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Instability of laminar flows due to a film of adsorption

Published online by Cambridge University Press:  28 March 2006

Chia-Shun Yih
Chia-Shun Yih
Affiliation:
Department of Engineering Mechanics, The University of Michigan, Ann Arbor, Michigan
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Abstract

When a horizontal layer of viscous liquid with an adsorption film of varying concentration as its upper boundary is set in motion by a steady translation of its lower boundary, plane Couette flow with zero surface velocity is possible. In this paper the stability of this flow is considered, and it is found that the liquid layer can be unstable for long waves. The instability found for this flow, however, exists also for other laminar flows with an adsorbed film, and plane Couette flow has been chosen only as a simple means of demonstration.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 28 , Issue 3 , 26 May 1967 , pp. 493 - 500
Copyright
© 1967 Cambridge University Press

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References

Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics. Oxford: Pergamon Press.
Levich, V. G. 1962 Physicochemical Hydrodynamics. New York: Prentice-Hall.
Yih, C.-S. 1963 Stability of liquid flow down an inclined plane Physics of Fluids 6, 321–34.Google Scholar