Nonlinear Taylor vortices and their stability

Author:

Jones C. A.

Abstract

Axisymmetric numerical solutions of the Navier–Stokes equations for flow between rotating cylinders are obtained. The stability of these solutions to non-axisymmetric perturbations is considered and the results of these calculations are compared with recent experiments.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference31 articles.

1. Donnelly, R. J. & Schwarz, K. W. 1965 Experiments on the stability of viscous flow between rotating cylinders.Proc. Roy. Soc. A283,531–546.

2. Wright, K. 1964 Chebyshev collocation methods for ordinary differential equations.Computer J. 6,358–365.

3. Davey, A. , DiPrima, R. C. & Stuart, J. T. 1968 On the instability of Taylor vortices.J. Fluid Mech. 31,17–52.

4. Taylor, G. I. 1923 Stability of a viscous liquid contained between two rotating cylinders.Phil. Trans. Roy. Soc. A223,289–343.

5. Barcilon, A. , Brindley, J. , Lessen, M. & Mobbs, F. R. 1979 Marginal instability in Taylor-Couette flows at a very high Taylor number.J. Fluid Mech. 94,453–463.

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