Mixed model for silt-laden solid-liquid two-phase flows

The kinetic theory of molecular gases was used to derive the governing equations for dense solid-liqud two-phase flows from a microscopic flow characteristics viewpoint by multiplying the Boltzrrann equation for each phase by property parameters and integrating over the velocity space. The particle collision term was derived from microscopic terms by corrparison with dilute two-phase flow but with consideration of the collisions between particles for dense two-phase flow conditions and by assuming that the particle-phase velocity distribution obeys the Maxwell equations. Appropriate terms from the dilute two-phase governing equations were combined with the dense particle coliision term to develop the governing equations for dense solid-liquid turbulent flows. The SIMPLEC algorithm and a staggered grid system were used to solve the discretized two-phase governing equations with a Reynd ds averaged turbulence model. Dense solid-l iquid turbulent two-phase flows were simulated for flow in a duct. The simulation results agree well with experirrental data.