Cylindrical Shock in a Self-Gravitating Gas

Abstract

The propagation of diverging cylindrical shock in a seif-gravitating gas having an initial density distribution p0, = betar-w, where beta and w are constants, has been studied for the two cases : (i) when the shock is strong and (ii) when it is weak. Analytical relations for shock velocity and shock strength have been obtained. It is shown that for strong shock, the shock velocity must decrease continuously with shock propagation; for weak shock, it initially decreases and attains a minimum value for certain propagation distance rumin and beyond this distance starts increasing.

Finally, the expressions for the presure, the density and the particle velocity immediately behind the shock have been obtained for both the cases.