Mathematical Modeling of Heat and Mass Transfer in Gas Absorption on a Drop of a Volatile Absorbent

A model of simultaneous heat and mass transfer in absorption of component A from a gas mixture in a drop of a volatile absorbent at commensurable phase resistances is constructed based on the known model of heat and mass transfer inside a drop. Heat and mass transfers in the gas phase are described in terms of the heat and mass transfer coefficients. The relation between the dimensionless mole fraction of component A and temperature averaged over the drop volume and the mole fraction and temperature at the drop surface is found using Duhamel’s principle and the balance of the heat and mass flows at the interface. The solutions of the resulting integro-differential equations are presented as a series of exponential functions with constant coefficients, as is the solution of the internal problem. For the process of absorption of ammonia in a water drop, the dimensionless average temperature in the drop as a function of time are given at different concentrations of vapor in the bulk of the dispersion medium.