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On the applicability of Howard's formula

Published online by Cambridge University Press:  12 April 2006

L. Engevik
L. Engevik
Affiliation:
Department of Applied Mathematics, University of Bergen, Norway
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Abstract

The applicability of Howard's formula is considered in cases where there exist critical layers at the boundaries in addition to one inside the flow field. It is shown that in a few particular cases Howard's formula can be applied provided that the finite part of an otherwise diverging integral is taken. In general, however, this revised formula is not valid and an expression analogous to the one given by Banks, Drazin & Zaturska for a particular example is found.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 86 , Issue 2 , 29 May 1978 , pp. 395 - 400
Copyright
© 1978 Cambridge University Press

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References

Banks, W. H. H. & Drazin, P. G. 1973 J. Fluid Mech. 58, 763.
Banks, W. H. H., Drazin, P. G. & Zaturska, M. B. 1976 J. Fluid Mech. 75, 149.
Engevik, L. 1973 Acta Mechanica 18, 285.
Engevik, L. 1975 Acta Mechanica 21, 159.
Hazel, P. 1972 J. Fluid Mech. 51, 39.
Howard, L. N. 1963 J. Fluid Mech. 16, 333.
Huppert, H. E. 1973 J. Fluid Mech. 57, 361.
Thorpe, S. A. 1969 J. Fluid Mech. 36, 673.