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Entry flow in a channel. Part 3. Inlet in a uniform stream

Published online by Cambridge University Press:  29 March 2006

A. K. Kapila ,
G. S. S. Ludford  and
V. O. S. Olunloyo
A. K. Kapila
Affiliation:
Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, N.Y
G. S. S. Ludford
Affiliation:
Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, N.Y
V. O. S. Olunloyo
Affiliation:
Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, N.Y
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Abstract

This paper complements earlier papers by Van Dyke (1970) and by Wilson (1971) which have appeared under the same title. Second-order boundary-layer theory is used to examine the region near the entrance to a single channel placed in a uniform stream. It is found that there are additional effects to those present in the three models treated by Van Dyke and Wilson. In particular, the cascade model misses the leading term in the separation force while the irrotational-entry model misses that in the skin friction.

There are also two new effects far downstream: logarithmic terms appear (apparently for the first time in second-order theory); and a resonance with the first eigensolution occurs.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 57 , Issue 4 , 6 March 1973 , pp. 769 - 784
Copyright
© 1973 Cambridge University Press

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References

Goldstein, S. 1960 Lectures on Fluid Mechanics. Interscience.
Libby, P. A. & Fox, H. 1963 Some perturbation solutions in laminar boundary-layer theory. Part 1. The momentum equation. J. Fluid Mech. 17, 433.Google Scholar
Ludford, G. S. S. & Olunloyo, V. O. S. 1972a The forces on a flat plate in a Couette flow. Z. angew. Math. Phys. 23, 115.Google Scholar
Ludford, G. S. S. & Olunloyo, V. O. S. 19723 Further results concerning the forces on a flat plate in a Couette flow. Z. angew. Math. Phys. to appear.Google Scholar
Van Dyke, M. 1964 Higher approximations in boundary-layer theory. Part 3. Parabola in uniform stream. J. Fluid Mech. 19, 145.Google Scholar
Van Dyke, M. 1970 Entry flow in a channel. J. Fluid Meeh. 44, 813.Google Scholar
Wilson, S. D. R. 1971 Entry flow in a channel. Part 2. J. Fluid Mech. 46, 787.Google Scholar