Self Similar Solution of Strong Cylindrical Shock Wave in Magnetogasdynamics: Lagrangian Description

In the present paper the self similar solution of strong cylindrical shock wave in magnetogasdynamics using Langrangian mass co-ordinate has been studied. Analytic solutions of governing equations in closed form are obtained. The strong cylindrical shock wave generated by sudden line source explosion in an inhomogeneous medium of infinite electrical conductivity has been studied. The influence of specific heat ratio and magnetic field strength on flow variables for various cases is assessed. The general behaviour of velocity distribution remains unaffected. However, the density and pressure profiles are significantly affected in presence magnetic field interaction.