Flow Behind an Exponential Shock Wave in a Rotational Axisymmetric Non-ideal Gas with Conduction and Radiation Heat Flux

Abstract

A self-similar model for one-dimensional unsteady adiabatic flows behind a cylindrical shock wave driven out by a piston moving with time according to an exponential law in non-ideal gas in the presence of conductive and radiative heat fluxes is discussed in a rotating atmosphere. The ambient medium is assumed to have axial, azimuthal and radial component of fluid velocities. The axial and azimuthal component of fluid velocity in the ambient medium is assumed to be varying according to exponential laws. The initial density and angular velocity of the ambient medium are taken to be constant for the existence of the similarity solutions. It is shown that increase in the parameter of non-idealness of the gas and the conductive or radiative heat transfer parameters have decaying effect on the shock wave. It is obtained that the parameter of non-idealness of the gas and heat transfer parameters have same effects on shock strength, density, pressure, axial and azimuthal component of fluid velocity and vorticity vector.