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Stability of modulated finite-gap cylindrical Couette flow: linear theory

Published online by Cambridge University Press:  20 April 2006

S. Carmi  and
J. I. Tustaniwskyj
S. Carmi
Affiliation:
Department of Mechanical Engineering, Wayne State University, Detroit, Michigan 48202
J. I. Tustaniwskyj
Affiliation:
Department of Mechanical Engineering, Wayne State University, Detroit, Michigan 48202
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Abstract

The linear stability of an extensively modulated cylindrical Couette flow is investigated in the finite-gap range. A closed form analytic solution is obtained for the basic unsteady flow after modulation is introduced through the boundary conditions. The general linear perturbation equations for three-dimensional disturbances are then derived and subsequently solved using the Galerkin method with the stability analysed by the Floquet theory. Modulation is found to destabilize the flow in most cases and results compare very favourably with the ones obtained experimentally. Stabilization is possible only for some cases of outer cylinder modulation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 108 , July 1981 , pp. 19 - 42
Copyright
© 1981 Cambridge University Press

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