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The slow motion of a magnetized sphere in a conducting medium

Published online by Cambridge University Press:  28 March 2006

James R. Barthel  and
Paul S. Lykoudis
James R. Barthel
Affiliation:
School of Aeronautical Engineering, Purdue University, West Lafayette, Indiana
Paul S. Lykoudis
Affiliation:
School of Aeronautical Engineering, Purdue University, West Lafayette, Indiana
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Abstract

This paper considers the slow motion of a sphere, permanently and uniformly magnetized in one direction, in a viscous electrically conducting medium. The line of the magnetic poles is assumed to be parallel to the direction of the motion of the sphere. The velocity and pressure fields are calculated by two iterations. The distortion of the magnetic field is also calculated. An expression is obtained for total drag due to the viscous, pressure and magnetic forces.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 8 , Issue 2 , June 1960 , pp. 307 - 314
Copyright
© 1960 Cambridge University Press

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References

Barthel, J. R. & Lykoudis, P. S. 1959 The slow motion of a permanently magnetized sphere in an electrically conducting medium, Rep. No. A-59-11, School of Aeronautical Engineering, Purdue University.Google Scholar
Chester, W. 1957 The effect of a magnetic field on Stokes flow in a conducting fluid. J. Fluid Mech. 3, 302.Google Scholar
Harnwell, G. P. 1949 Principles of Electricity and Electro-magnetism, 2nd ed. New York: McGraw-Hill.