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arXiv · 1507.08537

Modeling of macroscopic stresses in a dilute suspension of small weakly inertial particles

Alexander Vibe·Nicole Marheineke
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Abstract

In this paper we derive asymptotically the macroscopic bulk stress of a suspension of small inertial particles in an incompressible Newtonian fluid. We apply the general asymptotic framework to the special case of ellipsoidal particles and show the resulting modification due to inertia on the well-known particle-stresses based on the theory by Batchelor and Jeffery.

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Alexander Vibe, Nicole Marheineke. 2015-07-30. Modeling of macroscopic stresses in a dilute suspension of small weakly inertial particles. https://doi.org/10.3934/krm.2018057

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