Dependence of Shock Mach Numbers upon the Shock-Vortex Interaction

Abstract

A computer-based investigation has been conducted, regarding the interaction between a vortex ring, generated by starting a shock wave of Mach number 1.4, and plane shock waves of various shock Mach numbers. It is shown that a self-intensification of shock waves takes place due to the mechanism of wave convergence by the interaction of shock wave and vortex. In order to evaluate the strength of intensification, the mean values of the maximum pressure and density for the time of interaction are calculated for the various shock Mach numbers. A remarkable feature observed during the computation is that the strength increases, then achieves a constant value, and finally decreases as the shock Mach number increases. These results show the typical features of interactions, such as the weak shock-strong vortex ring, a similar strength interaction of both shock and vortex, and a strong shock-weak vortex ring.