Catalytic bubble model: Bubble growth with an interfacial chemical reaction

Abstract

A theoretical model for the growth of a spherical gas bubble in a quiescent liquid with chemical reaction at the surface of the bubble is presented. The growth of the bubble is assumed to be controlled by momentum and mass transfer, while the usual chemical equilibrium boundary condition at the surface of the bubble is replaced by a first-order heterogeneous chemical reaction. Using the integral method, the differential transport equations were transformed into ordinary differential equations, which were numerically solved. Some analytical solutions for simple cases are also presented. The effects of heat transfer on the growth process are also discussed.