Modeling of mass transfer in apparatuses with a stationary granular bed taking into account the phase temperature difference

In this paper, we consider the mass-transfer process in apparatuses with a fixed granular bed. The literature data were analyzed and it was shown that the main driving force of the mass transfer between the outer surface of the grains and the gas flow at a significant difference between the temperature of the phases is the difference of the reactants partial pressures. A comparison of the results of calculating the mass-transfer coefficient using the most popular in the domestic and foreign literature empirical correlations of Sherwood number on the Reynolds and Schmidt (diffusion Prandtl number) numbers was performed. It has been shown that the calculation results do not differ from each other despite the difference in the calculation formulas. The methodology of calculating the mass-transfer process in the two-phase model of a fixed catalyst bed has been provided.