Energy Dissipation due to Fission of Cavitating Bubbles

In violent bubble collapses, as observed in cavitating flows, the bubbles can break up into many smaller fragments. Following the recent work of Brennen[1], depending on either Rayleigh-Taylor instability or micro-jet formation mechanisms, a simple bubble fission model is introduced to explore the rebound structure after fission and the energy dissipated in the process. For this reason the Rayleigh-Plesset equation and its modified version, with damping mechanisms mimicked by using ‘an effective viscosity’, is solved under a given pressure load. The maximum bubble radius, reached after the first collapse, is then evaluated by the proposed model for different number of fission products. It is shown that the results for energy dissipation agree well with the estimates of Brennen and the observations of Lauterborn and Bolle[2] and Tomita and Shima[3]