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- W4386044166 abstract "The equations of motion of rigid particles and a continuous fluids are averaged to derive average balance equations. The averaging procedure is generic, requiring only linearity and commutation with the space and time derivatives. Except for no-slip boundary conditions, no assumptions about the rheology of the fluid and the shape and composition of the particles are made. In this regard, the derivation unifies the famous works by Jackson and Zhang and Prosperetti, which were limited to identical homogeneous spheres and specific averaging procedures, within a single mathematical formalism. Crucially, this formalism avoids the infinite Taylor series expansions in the particle-to-flow-scale ratio that were heavily employed in these older contributions. As a result, the derived expressions for the average fluid phase, solid phase, and mixture fields of interest, despite being general and mathematically exact, exhibit a simple mathematical structure that readily reveals the underlying physics. Most importantly, the average fields involve only the zeroth and first surface and volume moments of non-averaged fields about the particle centers, rather than all the moments as suggested by previous works. We also provide a general, exact, and comparably simple expression for the particle-fluid-particle stress, which plays a crucial role in suspension balance models. In future studies, the derived expressions can be used to extract the average fields of dispersed flow from coupled sub-particle-scale-resolving CFD-DEM simulations, even in situations where the macroscopic flow changes rapidly over both the typical size of particles and the typical distance separating them." @default.
- W4386044166 created "2023-08-22" @default.
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- W4386044166 date "2023-08-18" @default.
- W4386044166 modified "2023-09-25" @default.
- W4386044166 title "General average balance equations for a mixture of rigid particles and a continuous fluid" @default.
- W4386044166 doi "https://doi.org/10.48550/arxiv.2308.09661" @default.
- W4386044166 hasPublicationYear "2023" @default.
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