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Magnetohydrodynamic flow in a rectangular tube at high Hartmann number

Published online by Cambridge University Press:  28 March 2006

W. E. Williams
W. E. Williams
Affiliation:
Applied Mathematics Department, Liverpool University
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Abstract

Asymptotic forms, valid for high Hartmann number M, are obtained for the mean velocity for laminar magnetohydrodynamic flow in a rectangular tube. For a tube with non-conducting walls it is found that, neglecting exponentially damped terms, the mean velocity can be expressed in closed form in terms of tabulated functions. The first three terms of the expansion of the mean velocity in inverse powers of M are in extremely close agreement with a corresponding expansion obtained by Shercliff (1953) using a boundary-layer method.

For perfectly conducting walls the first five terms of an expansion in inverse powers of M are obtained.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 16 , Issue 2 , June 1963 , pp. 262 - 268
Copyright
© 1963 Cambridge University Press

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