This paper investigates the effect of heat transfer on the motion of a spherical bubble in the vicinity of a rigid boundary. The effects of heat transfer between the bubble and the surrounding fluid, and the resulting loss of energy from the bubble, can be incorporated into the simple spherical bubble model with the addition of a single extra ordinary differential equation. The numerical results show that for a bubble close to an infiniterigid boundary there are significant differences in both the radius and Kelvin impulse of the bubble when the heat transfer effects are included.
Harris, P. J., Al-Awadi, H. & Soh, W. K. (2004). An investigation into the effects of heat transfer on the motion of a spherical bubble. ANZIAM Journal, 45 (3), 361-371.