Physical and Mathematical Model of Heat Transfer in Porous Systems

Abstract

A mathematical model of heat transfer in porous media with phase transitions is formulated to describe the processes of high-speed melting of a powder layer of binary metal alloys with peritectic transformation. The modeling of nonstationary thermal fields was carried out using a two-phase zone model [2], extended to the case of high rates of medium heating and heat transfer by the mechanisms of thermal conductivity and radiation. The following physical assumptions were used in the formulation of the system of equations