Turbulence modeling of single- and two-phase curved-channel flows

A theoretical analysis of steady turbulent flow with small solid particulates in suspension was conducted based on the continuum hypothesis for both phases. The analysis provides the basis for a two dimensional numerical model capable of predicting dilute two phase flows. The numerical procedure requires the solution of fully elliptic coupled transport equations for both phases. The turbulence characteristics of the fluid phase are predicted using a two equation (k-epsilon) model of turbulence and involves the calculation of the fluid turbulent kinetic energy (k) and its rate of dissipation (epsilon).