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End effects in inviscid flow in a magnetohydrodynamic channel

Published online by Cambridge University Press:  28 March 2006

G. W. Sutton  and
A. W. Carlson
G. W. Sutton
Affiliation:
Space Sciences Laboratory, General Electric Company, Philadelphia
A. W. Carlson
Affiliation:
Space Sciences Laboratory, General Electric Company, Philadelphia
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Abstract

The flow of an inviscid, incompressible electrical conducting fluid in a channel of constant rectangular cross-section is considered, when the flow enters a region which contains a magnetic field transverse to the flow and electrodes on opposite sides of the channel. This geometry is typical of a d.c. induction pump or magnetohydrodynamic generator. The conducting fluid external to the magnetic field acts as a shunt and produces a non-uniform electric potential field and hence a non-uniform Lorenz force on the fluid, and causes the fluid velocity profile to be distorted. These effects are calculated theoretically for small magnetic Reynolds number and small magnetic interaction parameter. It is found that the velocity at the centre-line of the channel is retarded and at the walls the velocity is accelerated. The fractional change of velocity at the wall is equal to approximately 0·44 times a modified magnetic interaction parameter.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 11 , Issue 1 , August 1961 , pp. 121 - 132
Copyright
© 1961 Cambridge University Press

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References

Fishman, F. 1959 End effects in magnetohydrodynamic flow. AVCO-Everett Res. Rep. 78.
Hurwitz, H., Kilb, R. W. & Sutton, G. W. 1961 Influence of tensor conductivity on current distribution in an MHD generator. J. Appl. Phys. 32, 205.Google Scholar
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Shercliff, J. A. 1956 Edge effects in electromagnetic flowmeters. J. Nuclear Energy, 3, 305.Google Scholar
Sutton, G. W., Hurwitz, H. & Poritsky, H. 1959 Electrical and pressure losses in a magnetohydrodynamic channel due to end current loops. General Electric Co., TIS Rep. R59SD 431.