Transient three-dimensional three-phase three-component nonequilibrium flow in porous bodies described by three-velocity fields

From the mass, energy and momentum conservation principles a nonconservative form of a system of 18 quasilinear partial differential equations is obtained which describes the three-phase three-component flow. The flow is described with the three-velocity field approach. Each of the fields consists of one inert and one noninert component. The fully thermodynamical and mechanical nonequlibrium between the fields is modelled. The simplest possible concentration and entropy equations are obtained without making simplifying assumptions. Expressions for the Mach number, local critical mass flow rate and criticality condition are also obtained for this physical system. (author)