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Incompressible viscous flow past a semi-infinite flat plate

Published online by Cambridge University Press:  28 March 2006

J. D. Murray
J. D. Murray
Affiliation:
Department of Engineering Mechanics, University of Michigan, Ann Arbor, Michigan
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Abstract

The asymptotic solution for the incompressible viscous flow past a semi-infinite flat plate constructed by Goldstein (1956, 1960) can be valid only if the solutions of certain ordinary differential equations obey certain constraints (given in Goldstein 1956, 1960). In this paper, we construct the solutions of these equations, show that the necessary constraints are met, and hence establish the validity of the asymptotic solution up to the order considered. The manner in which undetermined constants appear in the solution are discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 21 , Issue 2 , February 1965 , pp. 337 - 344
Copyright
© 1965 Cambridge University Press

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References

Goldstein, S. 1956 Flow of an incompressible viscous fluid along a semi-infinite flat plate. Inst. Engng Res., Univ. Calif., Tech. Rep. HE-150-144.Google Scholar
Goldstein, S. 1960 Lectures on Fluid Mechanics. New York: Interscience.
Imai, I. 1957 Second approximation to the laminar boundary-layer flow over a flat plate. J. Aero. Sci. 24, 156.Google Scholar
Kaplun, S. 1954 Role of co-ordinate systems in boundary-layer theory. Z. angew. Math. Phys. 5, 111.Google Scholar
Whittaker, E. T. & Watson, G. N. 1932 Modern Analysis. Cambridge University Press.
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