Abstract

Transient solutions are presented for nonlinear, partial differential equations describing simultaneous gas-phase diffusive transport and the kinetics of physical adsorption and desorption within an idealized pore. The influence of heat of adsorption upon rate of desorption and its dependence on extent of surface coverage has been accounted for in the equations. Surface diffusion has been assumed negligible in the formulation. The solutions suggest that rates of sorption into porous materials and transient rates of transport through porous media may be significantly increased by adsorption. Also evident is significant dependency of these increases upon the form of variation of heat of adsorption with extent of surface coverage. In light of these findings it appears that transient transport rates in porous media may be influenced significantly by adsorption as well as by surface diffusion. Care must be taken in interpreting experimental results, therefore, to properly allocate the effects of adsorption as well as surface diffusion.

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