In contemporary models of adsorption of gases inside porous media, only the porous medium is modeled, although it can be important to predict what happens, e.g., inside a pipe through which the gas comes into the porous medium. Therefore, we choose one of the adsorption phenomena studied in the literature (adsorption of water on zeolite particles) and propose mathematical and numerical models for non-isothermal compositional compressible gas flow in a zeolite bed and in an adjacent boundary layer of atmospheric flow above its surface, where one of the flowing components adsorbs on the zeolite particles. In order to assess the reliability of our numerical model, we analyze its convergence and its sensitivity to changes in numerical parameters. (C) 2019 Elsevier Ltd. All rights reserved.