Shock wave deformation of a nonspherical gas bubble in liquids

The deformation of a nonspherical gas bubble caused by the incidence of a shock wave is analysed, taking account of both the nonspherical initial shape and the suddenly induced liquid flow, and then compared with the experimental results given in a previous work. The variational calculation of the governing equations shows: (1) The double disc- and triple disc-type instabilities observed in the water experiments result from an ellipsoidal initial shape. (2) The jet formation occurs in the downstream direction, as observed in the glycerin experiments. (3) The instability is more easily excited in a prolate bubble. (4) The larger the size of a prolate bubble, and the higher the flow velocity, the more that induced deformation becomes flat-topped in the case of glycerin.