Three-dimensional finite-amplitude solutions in plane Couette flow: bifurcation from infinity-Reference-Cited by-同舟云学术

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

Published:1990-08 Issue: Volume:217 Page:519-527
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Nagata M.

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.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference11 articles.

1. Drazin, P. G. & Reid, W. H. 1981 Hydrodynamic Stability .Cambridge University Press.

2. Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability .Oxford University Press.

3. Nagata, M. 1986 Bifurcations in Couette flow between almost co-rotating cylinders.J. Fluid Mech. 169,229–250.

4. Andereck, C. D. , Dickman, R. & Swinney, H. L. 1983 New flows in a circular Couette system with co-rotating cylinders.Phys. Fluids 26,1395–1401.

5. Cowley, S. J. & Smith, F. T. 1985 On the stability of Poiseuille—Couette flow: a bifurcation from infinity.J. Fluid Mech. 156,83–100.

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