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Stability of plane Couette–Poiseuille flow

Published online by Cambridge University Press:  28 March 2006

Merle C. Potter
Merle C. Potter
Affiliation:
University of Michigan
Presently at Michigan State University.
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Abstract

The stability of a two-dimensional Couette-Poiseuille flow is investigated. The primary unidirectional flow is between two infinite parallel plates, one of which moves relative to the other. The results for the case of Poiseuille flow agree with Lin's results and all flows for which the plate velocity exceeds 70% of the maximum velocity of the Poiseuille component of flow are found to be stable for all finite Reynolds numbers. Results of intermediate cases are also obtained.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 24 , Issue 3 , March 1966 , pp. 609 - 619
Copyright
© 1966 Cambridge University Press

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References

Deardorf, J. W. 1963 On the stability of viscous plane Couette flow. J. Fluid Mech. 15, 623.Google Scholar
Heisenberg, W. 1924 Über Stabilität und Turbulenz von Flussigkeitsströmen. Ann. Phys. Lpz. 74, 577.Google Scholar
Lin, C. C. 1945 On the stability of two-dimensional parallel flows. Quart. Appl. Math. 3, 117–142; 218–234; 277–301.Google Scholar
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Potter supplementary material

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