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The system of time lags has been successfully applied to the problem of diffusion with catalytic reaction.
Generally, immobilization of homogeneous catalysts usually decreases the catalytic activity due to the problem of diffusion of reactants to the surface-anchored catalysts [36].
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.
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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.
The problem of extra diffusion caused by regularization is discussed.
The relaxation technique is adopted to solve the problem of numerical diffusion in the iterative process.
In addition to the ease of such manipulations, the problem of the diffusion of unauthorized copies of multimedia contents is exacerbated by security vulnerabilities and peer-to-peer sharing over the Internet, where digital contents are typically distributed and posted.
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