Transient three-phase three-component systems. Part 1: Formulation of the system of differential equations

On the basis of the laws of conservation, the nonconservative form of a system of 18 quasi-linear partial differential equations was developed to describe a three phase, three component flow. The flow was described with three fields of velocity. Each field of flow consists of one inert and one noninert component. Full thermodynamic and mechanical nonequilibrium between the fields was modeled. The simplest possible concentrations and entropy equations were obtained, with no simplifying assumptions. Also obtained was the definition of the Mach number and of the critical mass velocity, and thus, the local criticality condition.