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On the potential distribution resulting from flow across a magnetic field projecting from a plane wall

Published online by Cambridge University Press:  28 March 2006

Roger C. Baker
Roger C. Baker
Affiliation:
St John's College, Cambridge
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Abstract

When a fluid of low conductivity flows parallel to a plane wall from behind which projects a magnetic field, an electric potential field is established throughout the fluid. In this paper the potential field is obtained explicitly in terms of the velocity field when the latter is unidirectional and depends only on the coordinate normal to the wall. Experiments with a variety of velocity profiles are described, and the agreement with the theory is satisfactory. The effect of slow variation of the profiles in the direction of the flow is considered, and is shown to be unimportant under the conditions of the experiments.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 33 , Issue 1 , 12 July 1968 , pp. 73 - 86
Copyright
© 1968 Cambridge University Press

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References

Baker, R. C. 1967a British Patent Applications no. 6333/67 (9 February), and no. 8557/67 (22 February).
Baker, R. C. 1967b Ph.D. Thesis. Cambridge University.
Guelke, R. W. & SCHOUTE-VANNECK, C. A. 1947 J. Inst. Elect. Engrs. 94, part 2, p. 71.
Hutcheon, I. C. & Harrison, D. N. 1965 Instrument Practice, 19, 529.
Remenieras, G. & Hermant, C. 1954 La Houille Blanche, 9, 732.
Shercliff, J. A. 1962 The Theory of Electromagnetic Flow-Measurement. Cambridge University Press.
Smith, C. G. & Slepian, J. 1917 U.S. Patent 1,249,530 (December).