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The neutral curve for stationary disturbances in rotating-disk flow

Published online by Cambridge University Press:  21 April 2006

Mujeeb R. Malik
Mujeeb R. Malik
Affiliation:
High Technology Corporation, P.O. Box 7262, Hampton, Virginia 23666
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Abstract

The neutral curve for stationary vortex disturbances in rotating-disk flow is computed up to a Reynolds number of 107 using the sixth-order system of linear stability equations which includes the effects of streamline curvature and Coriolis force. It is found that the neutral curve has two minima: one at R = 285.36 (upper branch) and the other at R = 440.88 (lower branch). At large Reynolds numbers, the upper branch tends to Stuart's asymptotic solution while the lower branch tends to a solution that is associated with the wave angle corresponding to the direction of zero mean wall shear.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 164 , March 1986 , pp. 275 - 287
Copyright
© 1986 Cambridge University Press

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