Rev.Adv.Mater.Sci. (RAMS)
No 1, Vol. 23, 2010, pages 21-31

MATHEMATICAL MODELING DIFFUSION OF DECAYING PARTICLES IN REGULAR STRUCTURES

Yevhen Chaplya and Olha Chernukha

Abstract

In the paper an exact solution of the contact initial-boundary value problem is found for diffusion of decaying admixture particles in a body of a two-phase periodical stratified structure. Regularities of concentration distributions are studied to depend upon different values of a coefficient of the migrating substance.s decay intensity. Conditions are established for the existence of a passage to the limit from contact initial-boundary value problems of the decaying substance diffusion to continual models of heterodiffusion by two ways allowing for the decay process. An exact solution for the partial Fisher problem for a layer is found. Mass flows are defined for the decaying admixture whose particles migrate in a horizontally regular structure.

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