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ISRN Mathematical Physics
Volume 2012 (2012), Article ID 168315, 11 pages
http://dx.doi.org/10.5402/2012/168315
Research Article

Magnetogasdynamic Shock Waves in a Rotating Gas with Exponentially Varying Density

1Department of Mathematics and Statistics, Deen Dayal Upadhyay Gorakhpur University, Gorakhpur 273009, India
2Department of Mathematics, National Institute of Technology Raipur, G.E. Road, Raipur 492010, India

Received 3 April 2012; Accepted 23 May 2012

Academic Editors: P. Bantay and P. Hogan

Copyright © 2012 J. P. Vishwakarma and G. Nath. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Nonsimilar solutions are obtained for one-dimensional adiabatic flow behind a magnetogasdynamic cylindrical shock wave propagating in a rotating or nonrotating perfect gas in presence of a constant azimuthal magnetic field. The density of the gas is assumed to be varying and obeying an exponential law. In order to obtain the solutions, the angular velocity of the ambient medium is assumed to be decreasing exponentially as the distance from the axis increases. The shock wave moves with variable velocity and the total energy of the wave is nonconstant. The effects of variation of Alfven-Mach number and time are obtained. Also, a comparison between the solutions in the cases of rotating and non-rotating media with or without magnetic field is made.