A RATE-DEPENDENT MODEL FOR TURBULENT FLOWS OF DILUTE AND DENSE 2 PHASE SOLID-LIQUID MIXTURES

The thermodynamically consistent rate dependent model for turbulent ho w of dense two phase solid-liquid mixtures derived previously is exten ded to cover the entire range of solids volume fraction. The modificat ions needed for the phasic viscosity, as well as the particulate energ y dissipation rate, are included. It is shown that the model contains the existing kinetic models for rapid granular flows and dilute turbul ent two phase flows as special limiting cases. The model is then used to study the problem of simple shear flow of a two phase solid-liquid mixture. The phasic shear and normal stresses, normal stress differenc es, fluctuation kinetic energy, production, dissipation and interactio n energy supply are evaluated and discussed. The predicted stresses ar e compared with experimental data and good agreement is observed.