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The Quarterly Journal of Mechanics and Applied Mathematics 1968 21(4):389-400; doi:10.1093/qjmam/21.4.389
© 1968 by Oxford University Press
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THE IMPULSIVE ROTATION OF A DIPOLE-MAGNETIZED SPHERE

K. E. BARRETT

( Department of Applied Mathematics, The University, Liverpool 3 )

The problem considered is one in which a dipole-magnetized perfectly conducting sphere is started rotating impulsively in an infinite ocean of conducting fluid. It is shown that, for large dipole strengths, diffusing Alfvén waves which propagate radially provide the main mechanism for the subsequent flow development. For small field strengths and small times the azimuthal component of the induced field is found for arbitrary Reynolds numbers.


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