Theory of the dynamics process of the conical bubble sonoluminescence

The dynamics process of the conical bubble sonoluminescence hasbeen discussed based on the adiabatic process. The equations of velocity ofbubble collapse, the pressure and temperature within the bubble have beenachieved. Result show the velocity of collapsing bubble approximatelylinearly increases with the decrease of the radius of collapsing bubblefirstly, then the maximal velocity of collapsing bubble can be achieved,subsequently the velocity of collapsing bubble quickly decreases. Based onthe supposition of initial pressure equal to 1\,000\,Pa, the maximal value ofthe velocity of bubble collapse reaches 5.8\,m/s, the minimum radius of thebubble is 1.37\,cm, then the huge pressure of 4.5\times 10^5\,Pa, thecollapsing temperature above 37\,000\,K, and the maximal energy about 0.02\,Jproviding to the bubble can be achieved. The equations obtained in thispaper could explain the phenomena of experiment. Finally, results show thatthe initial pressure within the bubble has important effects on the finalextreme conditions.