Kinetic and turbulence models for granular and two-phase flows
This thesis is concerned with developing kinetic and turbulence models for granular and two-phase flows. A kinetic model is introduced and the kinetic equation governing the evolution of the first-order distribution function including the fluid drag force is presented. The particle-fluid interactions are analyzed and the first-order particulate distribution function is determined. The system of equations governing the mean granular velocity, solid volume fraction, and fluctuation energy are developed. The special case of a simple shear flow is studied, and the predictions of the present model are compared with those of other models and the available experimental data. A discrete-element computational code for simulating unsteady three-dimensional free-surface granular flows in regions with complex boundary conditions is also provided. Utilizing the computer code, several transient nonuniform granular flows are analyzed. These include a granular flow down an inclined chute and a three-dimensional granular flow around a block in a channel. Turbulent flows of dispersed multiphase solid-fluid mixtures are considered. From the global equations of balance for each phase and via a special ensemble averaging technique, the local conservation laws for the mean motions are developed.
- Research Organization:
- Clarkson Univ., Potsdam, NY (USA)
- OSTI ID:
- 7168056
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
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