Abstract
Self-similar solutions for isothermal flows headed by a cylindrical magneto-hydrodynamic shock wave have been obtained. It is assumed that a strong MHD shock wave is propagating into an inhomogeneous atmosphere at rest with density varying according to a power law of distance from the axis of symmetry. The gaseous atmosphere is assumed to be electrically conducting with infinite electrical conductivity. The azimuthal magnetic field is permeated due to a constant line current along the axis of symmetry. Under these assumptions an analytical and numerical treatment has been presented and the flow distributions in a disturbed region headed by a blast wave have been determined. The law of propagation has been determined by using Whitham's rule. Numerical solutions of self-similar flows have been obtained and graphed.
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