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On longitudinal motion in a magnetic field

Published online by Cambridge University Press:  28 March 2006

H. P. Greenspan
H. P. Greenspan
Affiliation:
Mathematics Department, Massachusetts Institute of Technology
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Abstract

An exact solution is presented of the equations and boundary conditions governing the steady longitudinal motion of a semi-infinite non-conducting plate in an oblique magnetic field. The discussion covers the distortion of the boundary layer, the structure of the induced electric and magnetic fields, the current-density distribution, and the behaviour of the fields near the edge of the plate.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 9 , Issue 3 , November 1960 , pp. 455 - 464
Copyright
© 1960 Cambridge University Press

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References

Carrier, G. F. & Greenspan, H. P. 1959 J. Fluid Mech. 7, 22–32.
Greenspan, H. P. & Carrier, G. F. 1959 J. Fluid Mech. 6, 77–96.
Hasimoto, H. 1960 J. Fluid Mech. 8, 61–81.
Stration, J. A. 1941 Electromagnetic Theory. New York: McGraw Hill Book Co.