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The structure of MHD shock waves

Published online by Cambridge University Press:  13 March 2009

Omar Badr
Omar Badr*
Affiliation:
Faculty of Science, Department of Mathematics, King Saud University, Riyadh, Saudi Arabia
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Abstract

The MHD equations are used to discuss the formation and structure of shock waves in channel flow of an ionized gas with finite viscosity, thermal and electrical conductivity. The fundamental resulting complicated nonlinear differential equations are solved exactly, and the shock structure is determined completely. A necessary compatibility condition for the evolution of shock waves is obtained in the form:

where Pr and Prm are ordinary and magnetic Prandtl numbers and γ the ratio of specific heats. The flow quantities and parameters are found to depend, in a non-analytical manner, on Pr and Prm, so that special cases of interest are to be treated separately. Numerical results are given and discussed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 30 , Issue 3 , December 1983 , pp. 359 - 369
Copyright
Copyright © Cambridge University Press 1983

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References

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