Gas–liquid mass transfer in slurry bubble systems: I. Mathematical modeling based on a single bubble mechanism

Abstract

A gas–liquid mass transfer model for slurry bubble systems is established. It is based on the dynamic film mass transfer theory for a single bubble. The concentration in the liquid film is considered as a function of time t and radial position r. The analytical solution is obtained by Laplace transformation and the use of Danckwerts’s age distribution function. The mass transfer coefficient k L is deduced from the analytical solution. The influence of the model parameters: the surface renewal rate s and the thickness of the liquid film δ on the mass transfer coefficient k L is simulated. The two parameters are correlated with the operating conditions such as temperature, pressure, superficial gas velocity and solid concentration to allow the model to be used to predict the interfacial mass transfer rate for slurry bubble systems.