Abstract
The Chisnell-Chester-Whitham method has been used to investigate the propagation of diverging plane and cylindrical shock waves through an ideal gas in presence of a magnetic field having only constant axial\((H_{z_0 } )\) and variable azimuthal\((H_{\theta _0 } = r^{1/2} H_{z_0 } )\) components, simultaneously for both weak and strong cases. Assuming an initial density distribution ϱ0=ϱ′r−w, where ϱ′ is the density at the plane/axis of symmetry andw is a constant, the analytical expressions for shock velocity and shock strength have been obtained. The expressions for the pressure, the density, and the particle velocity immediately behind the shock have also been derived for both cases.
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