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The system of time lags has been successfully applied to the problem of diffusion with catalytic reaction.
An integral equation method is developed to solve the problem of diffusion and reaction in a porous nonisothermal finite cylindrical pellet in the absence of external transport resistances.
Using a novel finite integral transform technique, the problem of diffusion and chemical reaction in a porous catalyst with general activity profile is investigated theoretically.
The first example deals with the problem of diffusion and reaction in a porous catalyst particle (slab geometry) with no external heat and mass transfer resistances (Dirichlet model).
A new random pore network model has been applied to the problem of diffusion and reaction occurring simultaneously in porous catalysts.
The problem of diffusion coupled with a fast bimolecular chemical reaction in the presence of a significant concentration of reactants and products has been considered.
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We revisit the classical problem of diffusion-limited ion transport to a membrane (or electrode) by considering the effects of charged sidewalls.
Coincidentally, facing the same thorny problems of diffusion and effective contact of bigger hydrocarbon molecules on active sites in microporous zeolites, an innovation is to improve the accessibility by preparing micro-/mesoporous composite zeolites.
The method is applicable to problems of diffusion-reaction, convection-reaction and diffusion-convection-reaction, dependent on one spatial coordinate and involves the numerical computation of various singularities (hysteresis, isola, double zero and double or degenerate Hopf loci).
A few studies, such as (Das and Kolomeisky, 2010), addressed the problem of facilitated diffusion through simulations focusing on the 3D diffusion rather than the 1D case.
This study includes a detailed numerical investigation of the problem of gaseous diffusion in structures of randomly overlapping capillaries of various orientation distributions in the ordinary, transition, and Knudsen diffusion regimes.
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