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Laminar Flow in a Uniformly Porous Channel

Published online by Cambridge University Press:  07 June 2016

R. M. Terrill
R. M. Terrill*
Affiliation:
Department of Applied Mathematics, University of Liverpool
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Summary

The flow in a two-dimensional channel with porous walls through which fluid is uniformly injected or extracted is considered. Following Berman, a solution is obtained giving a fourth-order non-linear differential equation which depends on a suction Reynolds number R. Numerical solutions of this equation have been obtained. Series solutions of this equation for small and large Reynolds number are given and are shown to give good agreement with the numerical solutions.

Information

Type
Research Article
Information
Aeronautical Quarterly , Volume 15 , Issue 3 , August 1964 , pp. 299 - 310
Copyright
Copyright © Royal Aeronautical Society 1964 

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References

1. Berman, A. S. Laminar Flow in Channels with Porous Walls. Journal of Applied Physics, Vol. 24, p. 1232, 1953.Google Scholar
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4. Proudman, I. An Example of Steady Laminar Flow at Large Reynolds Number. Journal of Fluid Mechanics, Vol. 9, p. 593, 1960.Google Scholar
5. White, F. M., Barfield, B. F. and Goglia, M. J. Laminar Flow in a Uniformly Porous Channel. Journal of Applied Mechanics, Vol. 25, p. 613, 1958.Google Scholar