Strong cylindrical shock in a rotating gas

A characteristic method has been used to study the propagation of a strong diverging cylindrical shock wave through a rotating gas. An analytical expression for shock velocity has been obtained. It is shown that, for smaller values of the propagation distance r, the shock velocity must decrease with shock propagation; for larger values of r, however, it must increase with further advancement of the shock. The shock propagation distance corresponding to the minimum value of the shock velocity has also been obtained.