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A variational principle for magnetohydrodynamic channel flow

Published online by Cambridge University Press:  29 March 2006

Norman C. Wenger
Norman C. Wenger
Affiliation:
Lewis Research Center, National Aeronautics and Space Administration, Cleveland, Ohio
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Abstract

A variational formulation is presented for a class of magnetohydrodynamic (MHD) channel flow problems. This formulation yields solutions for the fluid velocity and the induced electric potential in a channel with a uniform transverse static magnetic field. The channel cross-section is constant but arbitrary, and the channel walls can be either insulators or conductors with finite electrical conductivity. Electric currents are permitted to enter and leave the channel walls so that the solutions are suitable for MHD generator and pump applications. An example of a square channel with conducting walls is solved as an illustration.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 43 , Issue 1 , 17 August 1970 , pp. 211 - 224
Copyright
© 1970 Cambridge University Press

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References

Chang, C. C. & Lundgren, T. S. 1961 Z. angew. Math. Mech. 12, 10.
Chu, W. H. 1969 J. Appl. Mech. 36, 70.
Hunt, J. C. R. 1969 Proc. Camb. Phil. Soc. 65, 31.
Shercliff, J. A. 1953 Proc. Camb. Phil. Soc. 49, 13.
Tani, I. 1962 J. Aerospace Sci. 29, 29.
Williams, W. E. 1963 J. Fluid Mech. 16, 26.