Abstract
Among different problems which are of interest for single bubble sonoluminescence (SBSL) the stability of bubble shape is one of the most important. It was investigated earlier mainly with the radial displacement approach. In this paper the volume displacement approach to the problem of bubble shape stability in strong fields is presented. The consideration is given in the framework of hydrodynamics of incompressible low-viscosity liquids. Linear equations of motion for amplitudes of spherical harmonics, which describe bubble shape perturbation are derived and then analyzed qualitatively. Numerical solutions for the quadrupole type perturbations were also obtained for values of parameters which correspond to the known SBSL experiments. The range of water temperatures where spherical bubble oscillations are stable was obtained. This range correlates with experimental data on SBSL.
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