ONE-DIMENSIONAL STUDY OF SHOCK WAVE PROPAGATION IN A ROTATING DUSTY NON-IDEAL GAS

Abstract

Strength of overtaking waves on the freely propagating strong spherical converging shock waves in the dusty
gaseous non-uniform medium has been investigated. The non-uniformity of the medium arises due to solid body rotation
of the mixture and the flow behind the shock. It is assumed that the medium in which shock propagates, is a suspension of
inert dust particles and non-ideal gas. The particles are of small spherical uniform size and uniformly distributed in the
medium. It is also assumed that the condition of equilibrium flow is maintained. Neglecting the Coriolis forces, the
analytical expressions for the shock velocity and shock strength for freely propagation as well as under the influence of
flow behind the shock front have been derived using CCW method. The non-dimensional expressions for pressure and
particle velocity are also obtained. The variations of all flow variables with propagation distance(r), angular velocity (Ω),
and mass concentration of dust particles in the medium (kp) are shown through figures. The results reported here are
compared with those for dusty perfect gas[26]. It is observed that the presence of non-idealness in the gaseous medium
has significant effects on flow variables of shock propagation.