Analysis of the integro-differential equation of constant-rate particle transfer

Some conclusions from the integro-differential equation of constant-rate pa rticle transfer were considered. In a sense, this equation is a microscopic kinetic equation for the phenomenological macroscopic equations of heat tr ansfer, diffusion, and other transfer processes. It was shown that, in the limiting case, the above integro-differential equation fan be reduced to th ese macroscopic equations. Formulas were derived for calculating the therma l conductivity and the diffusion coefficient as tensor quantities. With the use of the concepts of Galerkin's method, the hyperbolic differential equa tions of heat and mass transfer were obtained.