GROWTH AND COLLAPSE OF A CAVITATION BUBBLE INSIDE A RIGID CYLINDER: EFFECT OF MEMBRANE TENSION

In this paper, growth and collapse of a cavitation bubble inside a rigid cylinder with a compliant coating (a model of human’s vessels) are studied using Boundary Integral Equation and Finite Difference Methods. The fluid flow is treated as a potential flow and Boundary Integral Equation Method is used to solve Laplace’s equation for velocity potential. The compliant coating is modeled as a membrane with a spring foundation. At the interface between the fluid and the membrane, the pressure and normal velocity in the flow are matched to the pressure and normal velocity of the membrane using linearized condition. The effects of the parameters describing the flow (the fluid density, the initial cavity size and its position) and the parameter describing the compliant coating (membrane tension) on the interaction between the fluid and the cylindrical compliant coating are shown throughout the numerical results. It is shown that the bubble life time slightly decreases by increasing membrane tension.

Keywords:

Bubble , Collapse , membrane tension , Boundary element method