PROBABILITY DENSITY FUNCTION APPROACH FOR TURBULENT HYDRODYNAMICS AND HEAT AND MASS TRANSFER IN TWO-PHASE DISPERSED FLOWS
ABSTRACT
A closed equation for probability density functions (PDF) of particles coordinates, velocities and temperatures in nonhomogeneous two-phase turbulent flows is obtained. On the basis of the equation for PDF a closed system of balance equations for the first and second moments of the velocity and temperature fluctuations of the dispersed phase in Eulerian variables is derived. For the system of equations boundary conditions, describing particles interaction with a surface in a two-phase flow are found. The probabilistic model for particles collision with rough wall is offered. PDF approach is developed for particles coagulation in the turbulent two-phase flow. The closed expression for the rate of particles coagulation coefficient is obtained. The theoretical results are compared with the experimental data.