The Steady State Characteristics of Multicomponent Diffusion in Micro- and Mesoporous Media for Adsorbable and Nonadsorbable Species

• Published in: Membranes (Basel) Vol. 12; no. 10; p. 921
• Main Authors: Bizon, Katarzyna, Boroń, Dominika, Tabiś, Bolesław
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 23.09.2022; MDPI
• Subjects: Adsorption; algorithm; Algorithms; Analysis; Chemical reactions; Diffusion; Diffusion models; Dynamic models; Equilibrium; Mathematical models; Membrane separation; meso- and microporous solids; modeling; Molecular diffusion; multicomponent complex diffusion; Porous materials; Steady state; steady states; Surface diffusion; Thermodynamics; Viscous flow; Canada
• ISSN: 2077-0375; 2077-0375
• DOI: 10.3390/membranes12100921

The study addresses one of the fundamental issues in the mathematical modeling and quantitative process analysis of complex multicomponent diffusion in meso- and microporous materials. The model presented here incorporates combined molecular diffusion, Knudsen diffusion, viscous flow, and surface diffusion. A methodology and algorithm for the determination of steady states of such complex diffusive processes are proposed. The adopted form of the surface diffusion model does not require the calculation of the thermodynamic factor matrix. The method was verified by comparing the profiles of the state variables with those obtained from the dynamic model for sufficiently long diffusion times. The application of the method is illustrated for two diffusion processes involving three components. In the first one, all components are subject to adsorption. In the other, one gaseous component is an inert and is therefore not adsorbed and does not participate in surface diffusion. It is shown that the presence of inerts as well as their number does not impede the application of the proposed algorithm for the determination of steady states.