A twoequation turbulence model for free and bounded twophrase flows
Abstract
A theoretical investigation of turbulent, free and bounded, twophase lows has been conducted. The objective is to develop a twoequation turbulence model which accounts for the interaction between the two phase for twodimensional, isothermal, free and confined turbulent flows. The two equations describe the conservation turbulence kinetic energy and dissipation rate of that energy for the carrier fluid. The suspension is assumed to be dilute. The dispersed phase is assumed to consist of particles spherical in shape and uniform in size. The physical properties of each phase are assumed to be constant. The two conservation equations are rigorously derived from the momentum equations of the carrier fluid. Closure for high Reynolds number turbulence is obtained by modeling the turbulent correlations up to third order. Predictions obtained with the highReynolds number closure of the model are in very good agreement with available experimental data for the flow of a turbulent round jet laden with spherical, uniformsize solid particles.
 Publication:

Ph.D. Thesis
 Pub Date:
 1985
 Bibcode:
 1985PhDT........20R
 Keywords:

 Kinetic Energy;
 Particle Size Distribution;
 Turbulence;
 Turbulence Models;
 Two Phase Flow;
 Closure Law;
 Conservation Equations;
 Reynolds Number;
 Fluid Mechanics and Heat Transfer