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The oscillating plate problem in magnetohydrodynamics

Published online by Cambridge University Press:  28 March 2006

W. I. Axford
W. I. Axford
Affiliation:
Department of Mathematics, University of Manchester
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Abstract

The oscillating plate problem is investigated for the case of an incompressible, electrically conducting fluid in the presence of a magnetic field. The boundary conditions are examined in detail, and a solution is found with the aid of suitable approximations. The motion of the fluid is shown to consist mainly of magnetohydrodynamic waves, but there is also a viscous boundary layer in which the solution agrees with that given by other writers.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 8 , Issue 1 , May 1960 , pp. 97 - 102
Copyright
© 1960 Cambridge University Press

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References

Alfvén, H. 1950 Cosmical Electrodynamics. Oxford: Clarendon Press.
Ludford, G. S. S. 1959 Arch. Rat. Mech. Anal. 3, 14–27.
Ong, R. S. & Nicholls, J. A. 1959 J. Aero. Sci. 26, 313–14.
Rossow, V. J. 1957 Nat. Adv. Comm. Aero. Wash., Tech. Note, no. 3971.