The diffusion equation in stratified structures with account non-ideal contact conditions

Abstract

In the paper it is obtained the diffusion equation, in which nonhomogeneities of the body structure
are taken into account into the coefficients and its operator displays the conditions of nonideal
mass contact on interphases of the phases. Herewith the value of coefficient of concentrating
dependence of chemical potential determines the magnitude of jump discontinuity of the concentration
function. The obtained equation is considered as a generalization of the second Fick low for
a multiphase body under nonideal contact conditions. We have shown that under the assumption
of linear changes of the physical characteristics of the body material this parameter has jump
discontinuities of the first kind on interphases of the phases.