MATHEMATICAL MODELING OF PARTICLEFLUID TWO-PHASE FLOW

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Two-phase flow is modeled by considering interactions between partocles and their surrounding fluid at three scales: micro-scale of particle size, meso-scale of cluster size, and macro-scale for the overall particulate system consisting of clusters carried by the surrounding dilute phase.A further constraint has been found necessary to describe the stability of the twophase flow: the total energy always seeks a minimum for the dynamics of such particulate systems.The modeling can be used to explain numerous phenomena in particle-fluid flow, such as flow regime transitions and the heterogeneity of the two-phase system. It not only reflects the physical nature of the particle-fluid flow, but also makes possible quantitative description for both gas-solid (G/S) and liquid-solid (L/S) systems. Two-phase flow is modeled by considering interactions between partocles and their surrounding fluid at three scales: micro-scale of particle size, meso-scale of cluster size, and macro-scale for the overall particulate system consisting of clusters carried by the surrounding dilute phase.A further constraint has been found necessary to describe the stability of the twophase flow: the total energy always seeks a minimum for the dynamics of such particulate systems. The modeling can be used to explain numerous phenomena in particle-fluid flow, such as flow regime transitions and the heterogeneity of the two-phase system. It not only reflects the physical nature of the particle-fluid flow, but also makes possible quantitative description for both gas-solid (G / S) and liquid- S) systems.
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