Poiseuille flow of a mixture of neutrally buoyant particles in a fluid
Constitutive equations are given for the stress, couple stress, and interphase momentum transfer in a mixture consisting of neutrally buoyant particles in a fluid. The interphase momentum transfer terms include objective expressions quantifying Stokes; drag, Faxen force, shear life, Magnus lift, and rotational drag. Coefficients of the drag and lift terms are deduced from macroscopic theory. The viscosity of the solid phase and the cross viscosities are estimated to coincide with previous work in micropolar flow theory. The resulting equations of motion are solved numerically for this general model and for the subset of this model which complies with the principle of phase separation. These solutions are compared with the flows predicted by micropolar theory. Although the micropolar theory may provide a good approximation for multiphase flow in some regimes, micropolar theory cannot model the phase velocity differences and volume fraction gradients that occur in high pressure, small channel flow. The effect of controlling the boundary values of particle and fluid spin is investigated, including the effect of back spin and symmetric spin.
- Research Organization:
- University of South Florida, Tampa, FL (USA)
- OSTI ID:
- 5206043
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
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