Abstract: Mass transfer effects across the bubble wall are physical process and related effects, which are employed to study the growth or dissolution of bubbles in the liquid through mass diffusion and convection. It is widely used in medical, acoustic and nuclear fields. The parameters affecting the mass transfer effects include the following given factors: the interface area of bubbles for mass transfer, the concentration of dissolved gas and the effect of surrounding flow field. This paper systematically summarizes the previous identified mass transfer effects together with related physical models, and provides a detailed mathematical and analytical solutions to the mass transfer equation, bubble wall motion equation and threshold value condition calculation involved in the mass transfer effects. In addition, the mass transfer effects in non-newtonian fluids and liquid metals are described and analyzed briefly together with the introduction of high concentration model.