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The dissolution process of a CO 2 gas bubble undergoing adiabatic free oscillation is investigated by coupling bubble dynamics with convective diffusion mass transport in the liquid phase. The minimum equilibrium radius necessary to the adiabatic free oscillation and the related damped frequency are determined. By formulating the governing equations using stretched Lagrangean spatial coordinates, the model system can be effectively solved by the method of lines. It was found that the gas dissolution significantly enhances the damping of the free oscillations. In addition, a periodic detachment of the concentration boundary layer takes place at the bubble wall, which induces short periods of gas desorption within a cycle of the oscillation. We point out that this causes a retarding effect on the dissolution process.

Numerical investigation of the dissolution mechanism of a freely oscillating CO_2 gas bubble by the method of lines