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Supercritical flow in a divergent channel

Published online by Cambridge University Press:  29 March 2006

P. M. Eagles
P. M. Eagles
Affiliation:
Department of Mathematics, The City University, London
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Abstract

For flow of a viscous fluid in a divergent channel of small angle it is shown that small disturbances to the basic Jeffery-Hamel flow may grow, according to nonlinear theory, to produce a secondary (supercritical) flow, in which the main flow winds from side to side in the channel and vortices form, with the whole pattern moving slowly downstream.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 57 , Issue 1 , 23 January 1973 , pp. 149 - 160
Copyright
© 1973 Cambridge University Press

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References

Eagles, P. M. 1966 J. Fluid Mech. 24, 191–207.
Eagles, P. M. 1969 Quart. J. Mech. Appl. Math. 22, 183–210.
Fraenkel, L. E. 1962 Proc. Roy. Soc. A 267, 119–136.
Fraenkel, L. E. 1963 Proc. Roy. Soc. A 272, 406–428.
Lin, C. C. 1955 The Theory of Hydrodynamic Stability. Cambridge University Press.
Matkowsky, B. J. 1970 Siam J. Appl. Math. 18, 872–883.
Pekeris, C. L. & Shkoller, B. 1967 J. Fluid Mech. 29, 31–38.
Reynolds, W. C. & Potter, M. C. 1967 J. Fluid Mech. 27, 465–492.
Stewartson, K. & Stuart, J. T. 1971 J. Fluid Mech. 48, 529–545.
Stuart, J. T. 1960 J. Fluid Mech. 9, 353–370.
Watson, J. 1960 J. Fluid Mech. 9, 371–389.