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Linear stability of modulated circular Couette flow

Published online by Cambridge University Press:  29 March 2006

P. J. Riley  and
R. L. Laurence
P. J. Riley
Affiliation:
Department of Chemical Engineering, University of Massachusetts, Amherst
R. L. Laurence
Affiliation:
Department of Chemical Engineering, University of Massachusetts, Amherst
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Abstract

The linear stability of modulated circular Couette flow to axisymmetric disturbances is examined in the narrow-gap limit. The outer cylinder is assumed stationary, while the inner is modulated both with and without a mean rotation. The equations governing the disturbance motion are solved by a Galerkin expansion with time-dependent coefficients, and the stability of the motion determined by Floquet theory. Modulation is found, in general, to destabilize the flow due to steady rotation, although weak stabilization is found for some modulation amplitudes at intermediate frequencies.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 75 , Issue 4 , 25 June 1976 , pp. 625 - 646
Copyright
© 1976 Cambridge University Press

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