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Solutions of unsteady compressible boundary-layer equations

Published online by Cambridge University Press:  24 October 2008

G. N. Sarma
Affiliation:
Department of Mathematics, University of Roorkee, India

Abstract

The unsteady two-dimensional compressible boundary layers have been studied by Sarma ((5)) assuming that the Prandtl number is unity and that the wall is in an arbitrary motion, the main stream being steady. In this paper the Prandtl number is taken to be an arbitrary parameter which need not be equal to unity, and it is assumed that the main stream velocity and temperature are perturbing about a steady mean, the wall being in an arbitrary motion. Solutions are obtained in two parts, one when the temperature gradient at the wall is perturbing about a zero mean and the other when the temperature of the wall is perturbing about a steady mean. Thus in this paper the theory given in Sarma ((5)) is made still more general. Following the work of Sarma ((4)–(6)) two types of solutions are developed in each part, one for large times and the other for small times.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

REFERENCES

(1)Howarth, L.Concerning the effect of compressibility on laminar boundary layers and their separation. Proc. Roy. Soc. London, Ser. A, 194 (1948), 16.Google Scholar
(2)Lighthill, M. J.The response of laminar skin friction and heat transfer to fluctuations in the stream velocity. Proc. Roy. Soc. London, Ser. A, 224 (1954), 123.Google Scholar
(3)Moore, F. K.Unsteady laminar boundary-layer flow. Nat. Adv. Comrn. Aeronaut., Tech. Note 2471 (1951), 33 pages.Google Scholar
(4)Sarma, G. N.Solutions of unsteady boundary-layer equations. Proc. Camb. Philos. Soc. 60 (1964), 137158.CrossRefGoogle Scholar
(5)Sarma, G. N.A general theory of unsteady compressible boundary layers with and without suction or injection. Proc. Cambridge Philos. Soc. 61 (1965), 795807.CrossRefGoogle Scholar
(6)Sarma, G. N.Unified theory for the solutions of unsteady thermal boundary layer equation. Proc. Cambridge Philos. Soc. 61 (1965), 809825.CrossRefGoogle Scholar