Simultaneous mass and heat transfer with reactions in a multicomponent, laminar, falling liquid film

Abstract

A mathematical model and calculational method are developed for the simultaneous mass and heat transfer with reactions in a multicomponent, falling liquid film on a vertical wall of a contacting apparatus. The model is based on partial differential equations of convective multicomponent mass transport, which are coupled by both diffusional and chemical interactions of the components and convective heat transport. In addition, the mutual influence of heat and mass transfer is taken into account through source terms and interfacial conjugated boundary conditions (a generalization of the so-called boundary conditions of the fourth kind). The proposed method enables the following parameters to be determined: the concentration distribution of each component, the temperature distribution throughout the film, the mass and heat transfer rates at the film interface and other relevant parameters. In addition, the method may be applied to various coupled heat and mass transfer problems in multicomponent reacting systems.