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Dissipative magnetogasdynamic flow

Published online by Cambridge University Press:  28 March 2006

Eric P. Salathe  and
Lawrence Sirovich
Eric P. Salathe
Affiliation:
Division of Applied Mathematics and The Center for Fluid Dynamics Brown University, Providence, Rhode Island Present address: Center for the Application of Mathematics, Lehigh University, Bethlehem, Pennsylvania.
Lawrence Sirovich
Affiliation:
Division of Applied Mathematics and The Center for Fluid Dynamics Brown University, Providence, Rhode Island
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Abstract

An analysis of the structure of the wakes and waves in steady compressible magnetohydrodynamics is presented. No restriction is made on the equation of state of the gas or on the ratios of the various dissipative parameters. An asymptotic solution is obtained which furnishes directly the flow far from a body and which may be used in the construction of the entire flow field. The non-dissipative solutions are obtained as a non-uniform limit for vanishing dissipation; no matter how small the dissipation, one can go far enough from the origin that the flow is essentially dissipative. For non-aligned fields the wave pattern consists of a downstream wake and either two or four standing waves, depending on the flow regime. For aligned fields, two of these waves become wakes, so that the wake is a superposition of three structured layers, with either all downstream or two downstream and one up-stream. It is found that the non-dissipative limit of the wake is non-unique for the aligned fields case. Different limits are obtained depending on how the various dissipative parameters vanish.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 33 , Issue 2 , 12 August 1968 , pp. 361 - 377
Copyright
© 1968 Cambridge University Press

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