Weak Spherical Diversion Shock Through Exponentially Increasing Density Medium

Abstract

Propagation of weak spherical diverging shock wave through in ideal gas having solid body rotation have been investigated by Chisnell-Chester-Whitham method. The medium becomes inhomogeneous on account of solid body rotation assuming in initial density distribution law as : = I exp(r/ro), where I is the density at the axis of symmetry,  is a constant and ro is a non-dimension constant, the analytical expression for shock velocity and shock strength have been obtained. Finally, the expression for the pressure, the density and the particle velocity immediately behind the shock have also been derived. It is observed that the smaller value of the propagation distance r, the shock velocity must decreases with shock propagation for the large value of r, however is must increase with further advancement of the shock.