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The distortion of a magnetic field by the flow of a conducting fluid past a circular cylinder

Published online by Cambridge University Press:  28 March 2006

R. Seebass  and
K. Tamada
R. Seebass
Affiliation:
Cornell University, Ithaca, New York
K. Tamada
Affiliation:
University of Kyoto, Kyoto, Japan
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Abstract

The distortion of a uniform magnetic field, aligned with the flow at infinity, by the potential flow of an inviscid conductor about a circular cylinder is determined. Potential flow of the fluid occurs when the interaction parameter is small; this is the case studied here. In the flow-potential and stream-function plane the problem may be formulated as a singular integral equation. Solutions of this equation show that for small fluid conductivities the magnetic field lines are distorted in the sense of being dragged along by the motion of the fluid. This process continues as the conductivity increases, with fewer and fewer of the magnetic field lines entering the body. For large conductivity this reduced flux of field lines enters over most of the body surface and exits in the neighbourhood of the rear stagnation point; behind the body there is a jet-like structure of magnetic field lines.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 22 , Issue 3 , July 1965 , pp. 561 - 578
Copyright
© 1965 Cambridge University Press

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References

Hocking, L. M., 1961 Flow of a conducting fluid past a magnetized cylinder at high magnetic Reynolds number. Appl. Sci. Res. B, 9, 230.Google Scholar
Leonard, B. P., 1962 Some aspects of magnetohydrodynamic flow about a blunt body. AFSOR 2714, Cornell University.
Luke, Y., 1962 Integrals of Bessel Functions. New York: McGraw-Hill.
Sears, W. R., 1961 On a boundary-layer phenomenon in magneto-fluid dynamics. Acta Astronautica, 7, 223.Google Scholar
Stewartson, K., 1964 On the Kutta-Joukowski condition in magneto-fluid dynamics. Proc. Roy. Soc. A, 277, 107.Google Scholar
Tamada, K., 1961a On the flow of inviscid conducting fluid past a circular cylinder with applied magnetic field. AFSOR 1087, Cornell University.
Tamada, K., 1961b On the distortion of a weak magnetic field by the flow of a conducting fluid past a cylindrical obstacle. AFSOR 1551, Cornell University.
Tamada, K., 1964 On the distortion of a weak magnetic field by the flow of a conducting fluid past a cylindrical obstacle. J. Phys. Soc. Japan, 19, 1415.Google Scholar