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On the series solution to the laminar boundary layer with stationary origin on a continuous, moving porous surface

Published online by Cambridge University Press:  24 October 2008

T. D. M. A. Samuel  and
I. M. Hall
T. D. M. A. Samuel
Affiliation:
Department of the Mechanics of Fluids, University of Manchester
I. M. Hall
Affiliation:
Department of the Mechanics of Fluids, University of Manchester
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Abstract

The similarity solution for a laminar boundary layer on a continuous, moving, porous surface is obtained using a series of exponential terms. The convergence of this series which was previously used by Ackroyd (1) is investigated by a technique due to Weyl (4) and it is summed by a novel technique.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 73 , Issue 1 , January 1973 , pp. 223 - 229
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

REFERENCES

(1)Ackroyd, J. A. D.On the laminar compressible boundary layer with stationary origin on a moving flat wall. Proc. Cambridge Philos. Soc. 63 (1967), 871–888.CrossRefGoogle Scholar
(2)Lock, R. C.The velocity distribution in the laminar boundary layer between parallel streams. Quart. J. Mech. Appl. Math. 41 (1951), 42–63.CrossRefGoogle Scholar
(3)Samuel, T. D. M. A. Boundary layers on continuous moving surfaces. Ph.D. Thesis (1968). University of Manchester, England.Google Scholar
(4)Weyl, H.Concerning the differential equations of some boundary layer problems I. Proc. nat. Acad. Sci. U.S.A. 27 (1941), 578–583.CrossRefGoogle Scholar