The industrial column catalytic reactors are possible to be modeled, using the new approach on the base of the physical approximations of the mechanics of continua. As a result, a convection-diffusion type model (for qualitative analysis) and an average-concentration type model (for quantitative analysis) are possible to be used for the catalytic processes modeling in column apparatuses, in the cases of physical and chemical adsorption mechanism. A numerical analysis shows, that average concentration model, where the radial velocity component is equal to zero (in the cases of a constant velocity radial non-uniformity along the column height), is possible to be used in the cases of an axial modification of the radial non-uniformity of the axial velocity component. The use of experimental data, for the average concentration at the column end, for a concrete process and column, permits to be obtained the model parameters, related with the radial non-uniformity of the velocity. These parameter values permits to be used the average concentration model for modeling of different processes in the cases of different values of the column height, average velocity, reagent diffusivity, chemical reaction rate constant, etc. This possibility will be used for modeling of the catalytic processes in a gas-solid column apparatus.