mathematical modeling of reaction-diffusion processes

A two-dimensional mathematical model for carbon monoxide oxidation on the platinum catalyst surface is investigated according to the Langmuir--Hinshelwood mechanism.  This model takes into account the influence of diffusion effects on the course of reaction-diffusion processes.  It is established that the diffusion of adsorbed oxygen atoms can be neglected, and the structural changes of the catalyst surface have a significant influence on the character of oscillatory mode of reaction.

A substantiated mathematical model is proposed for describing the reaction-diffusion processes of a binary mixture of particles adsorbed on a catalyst surface.  It is shown that the proposed model generalizes the one-dimensional ZGB model for carbon monoxide (CO) oxidation reaction.  The kinetics of CO oxidation is investigated on the facets of platinum (Pt) crystal, which are stable with respect to reconstruction.

A two-dimensional mathematical model for carbon monoxide (CO) oxidation on the platinum (Pt) catalyst surface is investigated according to the Langmuir-Hinshelwood (LH) mechanism.   The effects of structural changes of the catalytic surface, the substrate temperature and desorption of the product of reaction (CO2) are taken into account.  It is shown that taking into account the finiteness of CO2 desorption, both the course of oxidation reaction and the stability region are only slightly affected.