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The stability of the decaying flow in a suddenly blocked channel

Published online by Cambridge University Press:  29 March 2006

P. Hall  and
K. H. Parker
P. Hall
Affiliation:
Physiological Flow Studies Unit, Imperial College, London
K. H. Parker
Affiliation:
Physiological Flow Studies Unit, Imperial College, London
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Abstract

The stability of the decaying laminar flow in a suddenly blocked channel is investigated. The partial differential system governing the stability of the flow is solved using a WKB type of approach. It is shown that the first term of the WKB expansion of the disturbance velocity field is just that obtained by a quasi-steady approach. The flow is found to be unstable at quite small Reynolds numbers. This instability is associated with the inflexional nature of the velocity profiles of the decaying flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 75 , Issue 2 , 27 May 1976 , pp. 305 - 314
Copyright
© 1976 Cambridge University Press

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