Heat transfer across interfaces of oscillating gas bubbles in liquids under acoustic excitation

Heat transfer across interfaces of oscillating gas bubbles in liquids is a fundamental issue of bubble dynamics with many applications. The current formulas in the literature relating with heat transfer are either too complex to be used for calculation or not valid for some regions of interest. In this communication, a group of formulas is proposed to predict heat transfer across bubble interfaces accurately for a wide range of parameters. An exact solution is used to validate the accuracy of the present formulas. Finally, energy dissipation during gas bubble oscillations in liquids through heat transfer is quantitatively compared with those through viscosity and acoustic radiation.