Unsteady Adiabatic Flow Behind a Cylindrical Shock in a Rotational Axisymmetric Non-Ideal Gas Under the Action of Monochromatic Radiation

Abstract

A self-similar model for the unsteady, one-dimensional cylindrical shock waves in non-ideal gas is discussed in a rotating atmosphere under the action of monochromatic radiation. The ambient medium is assumed to possess radial, axial and azimuthal component of fluid velocities. The fluid velocities within the ambient medium are assumed to be varying and obeying a power law. Similarity solutions exist only when the surrounding medium is of constant density. The gas is assumed to be non-ideal and the angular velocity of the ambient medium is assumed to be decreasing as the distance from the axis increases. It is investigated that increase in the non-idealness of the gas and the adiabatic exponent of the gas decay the shock wave. It is observed that the non-idealness of the gas and adiabatic exponent of the gas have same effects on the flow variables except radial component of fluid velocity. Also, the non-idealness of the gas decreases the radiation flux and increases pressure and density, whereas the shock-Mach number have opposite behaviour on them.