Kinetic modeling of dilute solid-liquid two-phase flows with inelastic collisions

A kinetic model was presented for dilute solid-liquid two-phase flows with inelastic collisions by mod-eling the inelastic collisions with the revised BGK model (Santos and Astillero, 2005) and particle tur-bulence interactions with the Fokker-Planck operator. The formulated model kinetic equation was solved with the Chapman-Enskog method and the obtained approximate solution was further adopted to derive the constitutive relationships for the conservation equations of the particle phase. The new constitutive relationships would be suitable for the study on dilute solid-liquid two-phase flows such as sediment-laden flows in open channels or rivers.