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The hydromagnetics of an ellipsoid moving in a cross-field

Published online by Cambridge University Press:  24 October 2008

G. S. S. Ludford  and
M. P. Singh
G. S. S. Ludford
Affiliation:
Cornell University
M. P. Singh
Affiliation:
Cornell University
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Abstract

Our previous discussion ((4), (5)) is here extended to an ellipsoid of arbitrary conductivity. Again, the flow is ultimately cylindrical and the magnetic field undisturbed. An ellipsoidal insulator allows fluid to pass through its circumscribing cylinder, but also forces some to go around. An ellipsoidal conductor behaves like a very tall insulator, irrespective of its own height or conductivity: all the fluid goes round. If it is very wide an unexpectedly large amount of fluid is carried with it.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 2 , April 1964 , pp. 341 - 351
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

(1)Hobson, E. W.The theory of spherical and ellipsoidal harmonics (Cambridge University Press; 1931).Google Scholar
(2)Ludford, G. S. S.The effect on a very strong magnetic cross-field on steady motion through a slightly conducting fluid. J. Fluid Mech. 10 1961), 141–155.CrossRefGoogle Scholar
(3)Ludford, G. S. S.The effect of a very strong magnetic cross-field on steady motion through a slightly conducting fluid: three-dimensional case. Arch. Rational Mech. Anal. 8 (1961), 242–253.Google Scholar
(4)Ludford, G. S. S. and Singh, M. P.The motion of a non-conducting sphere through a conducting fluid in a magnetic cross-field. Proc. Cambridge Philos. Soc. 59 (1963), 615–624.Google Scholar
(5)Ludford, G. S. S. and Singh, M. P.On the motion of a sphere through a conducting fluid in the presence of a magnetic field. Proc. Cambridge Philos. Soc. 59 (1963), 625–635.Google Scholar
(6)Mises, R. VonMathematical theory of compressible fluid flow (Academic Press; New York, 1958).Google Scholar
(7)Stewartson, K.Motion of a sphere through a conducting fluid in the presence of a strong magnetic field. Proc. Cambridge Philos. Soc. 52 (1956), 301–316.Google Scholar