Statistical modelling of mass transfer in turbulent two-phase dispersed flows — 1. Model development

A closed equation for probability density function (PDF) of particles coordinates and velocities in a nonhomogeneous turbulent flow is obtained. On the base of the equation for PDF, a closed system of balance equations for concentration, momentum and energy of a chaotic motion of dispersed phase in Eulerian variables is derived. For the system of balance equations boundary conditions, describing particles interaction with a surface in a two-phase flow are found.