Parametric study on bubble collapse in the finite depth liquid

Based on an improved mathematical physical model of bubble collapse in the finite depth of liquid caused by an initial bubble wall motion, the effect of fluid viscosity, initial bubble wall motion, height of bulk liquid, ambient hydrostatic pressure and the liquid density on the bubble collapse are investigated. The numerically calculated solutions show that the bubble collapse criterion has close relationships with these factors. With the increase of the liquid depth, the bubble is apt to collapse in advance. In addition, the height of liquid affects hardly the criteria of bubble collapse if it is 100 times more than the initial radius of the bubble, which can be considered as the bubble staying in the infinite depth of liquid. It is difficult for the bubble to collapse if the initial bubble wall velocity is of 0 m/s. On the contrary, it is easy for the bubble to collapse easily if the bubble wall has the initial shrinkage velocity. With the increase of absolutely velocity of the bubble wall, ambient hydrostatic pressure, or density of liquid, the bubble is also apt to collapse in advance.