Particulate Flow in a Fluctuating Field.

Mathematics – Probability

Scientific paper

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Scientific paper

Fluctuating characteristics of solid particles in solid-liquid flows were experimentally investigated. This thesis reports measurements for flows in three simple geometries: (1) Couette flow, (2) Venturi convergent-divergent flow, and (3) flow between a rotating cylinder and a fixed wall. In the second part of the thesis, a stochastic formulation for particulate two-phase flow simulation is proposed in conjunction with the finite volume method. Photographic and high-speed video techniques were used for studying particle motion. Particle rotation in Couette flow was measured and the results were approximated by power laws in the proximity of a flat wall. The Gaussian distribution is a good approximation for the velocity density distribution in the core of the flow, while in the zone near the wall the probability density distribution is asymmetric. Particle slip velocity and particle impact angle on the downstream wall were examined in the Venturi section. In the third experiment, five flow microstructures of a system of dry spherical particles flowing between a rotating cylinder and a fixed wall have been identified. Spatial correlation functions of velocity fluctuations were measured. Results show a quasi-exponential decrease of the spatial correlation functions with distance. A stochastic formulation for particulate two-phase flow simulation is proposed, in which the measured variance and fluctuating velocities and their spatial correlations can be employed. The mass-time averaged equations are solved with finite volume method. Neumann expansion method is used to significantly reduce the computing time.

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