Study for particular solutions of cylindrical shock waves in magnetogasdynamics

Abstract

In this research article, a problem of shock waves propagation in magnetogasdynamics is considered in ideal gas. The problem can be represented by hyperbolic non-linear system of partial differential equations (PDEs). It is solved by similarity method under invariant surface conditions. I reduced non-linear system of magnetogasdynamics into first order system of ordinary differential equations (ODEs) and it is non-linear. The ratio of heat capacity at constant pressure to heat capacity at constant volume is also known as the adiabatic constant and their values for monatomic, diatomic gasses are more than one in ideal gas. So, I have obtained exact solution of magnetogasdynamics system in ideal gas for particular value of adiabatic indexγ=2. The effect of the ambient density exponent θ on flow quantities density, velocity, pressure, and magnetic field are determined before the shock.