Hydrodynamic interactions in multiphase flows result in rich multiscale physics, such as clustering and pseudoturbulence, with important practical implications. Alternative theoretical formulations that overcome current challenges, and particle-resolved direct numerical simulations to build accurate closure models for unclosed terms that arise in these statistical theories, are outlined as promising future research directions. The study provides a perspective on the importance of integrating theoretical, modeling, computational, and experimental efforts at different scales.
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Shankar Subramaniam (2020) studied this question.
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