ANALYSIS OF MOVING BOUNDARY PROBLEM FOR BUBBLE COLLAPSE IN BINARY SOLUTIONS

Abstract

Bubble collapse in a binary solution with simultaneous heat and mass transfer is studied under a nonspherically symmetrical condition. A numerical technique is presented in this paper that is suitable for solving the axisymmetric moving boundary problem. Making use of the boundary-fitted curvilinear coordinate system and the Lagrangian method, this finite difference technique is able to dynamically track the evolving bubble shape and size during the collapsing process through adaptive grid regeneration. The grid moving velocity is incorporated as an integral part of the governing equations. The numerical results demonstrate that the combined effect of zero shear stress condition, the decreasing curvature, and short life span results in the absence of a wake behind a collapsing bubble.