Geometric statistical mechanics for non-spherical bubbles and droplets

Statistics – Applications

Scientific paper

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Particle-Laden Flows

Scientific paper

The behavior of many dispersed two-phase systems, such as bubbly flows and droplet mists, are strongly affected by interfacial effects. A statistical approach is presented here which may be used to model the global behavior of such geometrically complex systems. This approach describes the interfaces as a distribution of differential surface patches, each having two local, independent principal curvatures. Statistically-averaged (mean-field) physics describing the appropriate phenomena are formulated for the individual patches. These physics can include the volume-fraction effects of the dispersed phase, as well as flow conditions and interfacial phenomena. The resulting local patch dynamics are then used in a distributional analysis to predict the ensemble behavior and evolution of the dispersed system. Application of this approach to diffusive coarsening in solid-liquid systems will be described briefly, along with suggestions of applications to other two-phase systems of interest.

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