A THEORETICAL-MODEL FOR MULTIPHASE FLOW WITH SOLIDIFIED PARTICLES - (CONSERVATION EQUATIONS AND HYDRODYNAMICAL EVALUATION)

The conservation equations of mass, momentum and energy for a molten l iquid flow of two chemical constituents with their solidified particle s were derived by means of the averaging method. The drift flux model equations for the fine particles were also derived under a locally hom ogeneous approximation. The present model suggests that the energy equ ation should have energy transport terms corresponding to the heat con duction, the migration of particles and the diffusion of chemical cons tituents. As representative examples, these energy transports were eva luated quantitatively for binary molten salt and liquid alloy under th e assumption of a locally thermal equilibrium. The results show that t he energy conservation equation for solidified particles and melt flow should include an energy transport term due to particle migration.