Stability of modulated finite-gap cylindrical Couette flow: linear theory-Reference-Cited by-同舟云学术

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

Published:1981-07 Issue: Volume:108 Page:19-42
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Carmi S.,Tustaniwskyj J. I.

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.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference17 articles.

1. Clever, R. M. , Busse, F. H. & Kelly, R. E. 1977 Instabilities of longitudinal convection rolls in Couette flow.Z. angew. Math. Phys. 28,771–783.

2. Othmer, H. G. 1976 Current problems on pattern formation. Lectures on Mathematics in the Life Sciences (ed. S. A. Levin ).Providence, R.I.:The American Math. Soc.

3. Coles, D. 1965 Transition in circular Couette flow.J. Fluid Mech. 21,385–425.

4. Donnelly, R. F. 1964 Experiments on the stability of viscous flow between rotating cylinders. III. Enhancement of stability by modulation.Proc. Roy. Soc. A 781,130–139.

5. Tustaniwskyj, J. I. 1979 Ph.D. thesis,Department of Mechanical Engineering, Wayne State University.

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