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Nonlinear solutions of modified plane Couette flow in the presence of a transverse magnetic field

  • M. Nagata (a1)

Abstract

A nonlinear analysis is performed numerically for the motion of an electrically conducting fluid between parallel plates in relative motion when a transverse magnetic field is applied. It is found that steady three-dimensional finite-amplitude solutions exist even when the linear analysis predicts an infinite critical Reynolds number.

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Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Dover.
Girshick, S. L. & Kruger, C. H. 1986 Experimental study of secondary flows in a magnethydro-dynamic channel. J. Fluid Mech. 170, 233.
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Molokov, S. 1993 Fully developed liquid-metal flow in multiple rectangular ducts in a strong uniform magnetic field. Eur. J. Mech. B/Fluids 12, 769.
Nagata, M. 1990 Three-dimensional finite-amplitude solutions in plane Couette flow. J. Fluid Mech. 217, 519.
Nagata, M. 1993 Stability of non-axisymmetric flows in the Taylor-Couette system. In Unstable and Turbulent Motion of Fluid (ed. S Kida). World Scientific.
Nagata, M. 1995 Nonlinear behaviour of rotating plane Couette flow. (to be submitted)
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Nonlinear solutions of modified plane Couette flow in the presence of a transverse magnetic field

  • M. Nagata (a1)

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