Dynamics of Mobile Concentration Fronts in Gas–Liquid Reaction Systems: Analysis and Numerical Experiment

Abstract—A mathematical model has been developed for the process of chemosorption with the moving front of an instantaneous irreversible reaction at small Reynolds numbers in a gas–liquid system before and after the reaction front formation moment. An analytical solution of this model has been found for the time period to the formation of a mobile chemosorption front with consideration for the effect of a reaction product on the dynamics of chemosorption. In contrast to the earlier known results, the model takes into account the effect of the diffusion transfer of a reaction product on the kinetic characteristics of chemosorption and different stages of the formation and motion of the concentration front. Some results of the processing and analysis of numerical experiment data are presented. The characteristic depths and times of the penetration of a captured component are plotted as functions of all the process-control parameters. Sherwood numbers and absorption acceleration and mass transfer coefficients are calculated for the captured component in the liquid phase.