Transient threephase threecomponent systems. Part 1: Formulation of the system of differential equations
Abstract
On the basis of the laws of conservation, the nonconservative form of a system of 18 quasilinear 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.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 1985
 Bibcode:
 1985STIN...8535384K
 Keywords:

 Accident Prevention;
 Cooling Systems;
 Fluid Flow;
 Heat Transfer;
 Mathematical Models;
 Nonequilibrium Flow;
 Partial Differential Equations;
 Phase Transformations;
 Power Reactors;
 Reactor Safety;
 Conservation Laws;
 Differential Equations;
 Flow Theory;
 Fluid Mechanics and Heat Transfer