A model of sonoluminescence
Abstract
A bubble of air, trapped at the center of a spherical container of water on the surface of which spherical sound waves are maintained by transducers, may emit light, a phenomenon known as sonoluminescence. The surface of the bubble expands and contracts in obedience to the RayleighLamb equation, which requires knowledge of the gas pressure on the surface of the bubble. In many investigations of bubble pulsations, it is assumed that the air in the bubble moves adiabatically. To understand sonoluminescence, however, it is necessary to allow for the possibility that shocks are generated within the bubble. We couple the RayleighLamb equation governing the bubble radius to Euler's equations governing the motion of air in the bubble, and solve the two equations simultaneously. The air is modelled by a van der Waals gas. Results are presented for a number of slightly different conditions of excitation, but in which the response of the system is widely different.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 May 1994
 DOI:
 10.1098/rspa.1994.0064
 Bibcode:
 1994RSPSA.445..323W
 Keywords:

 Bubbles;
 Equations Of Motion;
 Mathematical Models;
 Shock Waves;
 Sonoluminescence;
 Equations Of State;
 Gas Pressure;
 Pressure Effects;
 Van Der Waals Forces;
 Physics (General)