Models of turbulent momentum and heat transfer in a dispersed phase based on equations for the second and third moments of particle velocity and temperature pulsations

The employment of differential models makes it possible to describe nonlocal effects of transfer of velocity and temperature pulsations by inertial particles -- the convective and diffusive mechanisms of turbulent momentum and heat transfer. A progressive method of constructing the system of equations for the description of dynamics and heat exchange in the dispersed phase of a two-phase flow is the employment of a kinetic equation for the probability density function. In the present study, models of various complexity for describing the hydrodynamics and heat transfer of particles in turbulent flows are proposed on the basis of the chain equations for the moments of velocity and temperature, obtained from an equation for the probability density function. The analysis is performed under the assumption that the characteristics of the turbulent carrying flow are known, while the volume concentration is insignificant, and collisions between the particles can be ignored. 20 refs