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The column apparatuses are main devices for solution of technological and   ecological problems in chemical and power engineering. A new approach of the   column apparatuses modeling on the base of the physical approximations of the   mechanics of continua, using two steps models: convection-diffusion type of   model (for qualitative analysis) and average concentration model (for   quantitative analysis), is presented. The convection-diffusion type of models   describe chemical and mass transfer processes in column apparatuses in the   cases of one, two ore three phases systems, where the solid phase is reagent,   catalytic or packed bad. A qualitative analysis of these models, using   generalized (dimensionless) variables, where the characteristic (inherent)   scales are the maximal or average values of the variables, is presented. The   using of the convection-diffusion type of models for quantitative analysis of   the processes in column apparatuses is not possible because the velocity   function in the convection-diffusion equation is unknown. The problem can be   avoided if the average values of the velocity and concentration over the   cross-sectional area of the column are used. The average concentration models   permit to analyze the effect of the radial nonuniformities of the velocity   and the concentration on the process efficiency in the column and to solve   the scale-up problem. The convection-diffusion type of models are presented   as a base for to be created convection and diffusion type of models

A new approach for the column apparatuses modeling in chemical and power engineering