Linear stability of modulated circular Couette flow

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 Galer...

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Bibliographic Details
Published in:Journal of fluid mechanics 1976-06, Vol.75 (4), p.625-646
Main Authors: Riley, P. J., Laurence, R. L.
Format: Article
Language:English
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Summary: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.
ISSN:0022-1120
1469-7645
DOI:10.1017/S0022112076000426