A THEORETICAL-MODEL FOR MULTIPHASE FLOW WITH SOLIDIFIED PARTICLES - (PHYSICAL SIGNIFICATION OF CONSTITUTIVE-EQUATIONS AND EVALUATION OF LATENT-HEAT EFFECT)

Constitutive equations regarding the drift flux model for a multiphase flow consisting of molten material and its solidified particles were thermodynamically derived under a condition of local quasiequilibrium. The basic equations, including the conservation equations and the con stitutive equations for the multiphase flour, were expressed in dimens ionless forms. The theory developed here confirmed that the temperatur e fields closely depended on the Lagrangian derivative of the solid fr action accompanying the latent heat effect, and was characterized by t he Stefan number. It was also suggested that the simplified basic equa tions corresponding to the phase equilibrium diagram were useful in th e analysis of multiphase flow with solid-liquid phase change.