Mathematical modeling diffusion of admixture particles in a strip with randomly located spherical inclusions of different materials with commensurable volume fractions of phases

The process of diffusion admixture particles in a multiphase randomly nonhomogeneous body with spherical inclusions different materials commensurable volume fractions phases is investigated. According to the theory binary systems, mathematical model disposed radii constructed. dense packing spheres used modeling skeleton body. contact initial-boundary value problem reduced mass transfer equation for whole Its solution constructed form Neumann series. On basis obtained calculation formula, quantitative analysis inclusions, which are filled fundamentally physical nature, but fractions, carried out. It shown that by one characteristic radius averaged concentration values coincide cases radius, such as when equals average inclusions; or corresponding smallest inclusion; an order magnitude smaller than this value.