Mathematical Modeling and Simulation of Processes of Heterodiffusion with Cascade Decay of Particles

Abstract

The mathematical model of mass transfer processes with taken into consideration of a local medium structure and cascade decay of admixture particles migrating in two ways is constructed. For the specific scheme of cascade, the balance relations of mass of the system components are formulated, the linear state equations and kinetic relationships are obtained. The heterodiffusion processes of admixture with its cascade decay in a body with two migration ways, accompanied by mass exchange between states, are investigated. For the case of unramified cascade decay, associated initial-boundary value heterodiffusion problems by cascade kind, when the problem solutions at one stage are sources on the next, are formulated. Solutions of the problems are obtained by iterative procedure with using Green functions. The expressions for diffusion fluxes of migrating admixture substances through the given section of the body and amount of decaying substances that passed through the layer in certain time interval.