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Boundary-layer flow between nodal and saddle points of attachment

Published online by Cambridge University Press:  29 March 2006

J. C. Cooke  and
A. J. Robins
J. C. Cooke
Affiliation:
University of Bristol
A. J. Robins
Affiliation:
University of Bristol
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Abstract

A simplified example of this type of flow was examined in detail by developing two series, eventually matched, one about the nodal point and the other about the saddle point, and also by finite differences, marching from the nodal point to the saddle point. It was found that the results of marching the two series were in agreement with the finite difference method. The series solution near the saddle point is not unique, but numerical evidence indicates that the correct solution is that which has ‘exponential decay’ at infinity, and that this type of solution, if such exists, automatically emerges when the finite difference method is used.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 41 , Issue 4 , 15 May 1970 , pp. 823 - 835
Copyright
© 1970 Cambridge University Press

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