A mathematical model and its solution were developed to calculate the mass transport through catalytic membrane layer by means of explicit, closed expressions even in the case of the nonlinear Michaelis-Menten reaction kinetics and/or of variable mass transport — diffusion coefficient, convective velocity — parameters. Some typical examples on the Thiele modulus, applying the Michaelis-Menten kinetics and its limiting cases, namely the first-order kinetic (KM≫cm) and zero-order kinetic (cm≫KM) are shown for the prediction of the concentration distribution and the mass transfer rates as a function of the reaction modulus, namely first-order- and the zero-order reactions. It was shown the significant differences of the results obtained by the three different reaction orders.

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