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Three-dimensional finite-amplitude solutions in plane Couette flow: bifurcation from infinity

Published online by Cambridge University Press:  26 April 2006

M. Nagata
M. Nagata
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK and Department of Mathematical Sciences, University of St Andrews, North Haugh, St Andrews KY16 9SS, UK Present address: Department of Mathematics, University College London, Gower Street, London WC1E 6BT, UK.
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Abstract

Finite-amplitude solutions of plane Couette flow are discovered. They take a steady three-dimensional form. The solutions are obtained numerically by extending the bifurcation problem of a circular Couette system between co-rotating cylinders with a narrow gap to the case with zero average rotation rate.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 217 , August 1990 , pp. 519 - 527
Copyright
© 1990 Cambridge University Press

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