Abstract

The oscillatory motion of a nonspherical gas bubble near a plane rigid wall is investigated using the boundary element method combined with the finite volume method. Heat transfer inside the bubble is taken into account in the analysis. We compare the present numerical results with both theoretical ones using a series expansion of spherical harmonics and numerical ones using an effective polytropic index. It is shown that when the bubble oscillation is moderate, the theoretical results are in good agreements with the present numerical ones. However, the results of polytropic analysis overestimate the amplitude of bubble oscillation. It is also shown that the temperature distribution inside the bubble is much dependent on the initial bubble radius. The thermal damping is important in dealing with the nonlinear oscillations of the bubbles. When the initial bubble radius is small and the driving frequency is out of resonant one, the thermal damping affects surface oscillations as well as radial oscillations more strongly.

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