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Angular dynamics of small crystals in viscous flow

J. Fries, J. Einarsson, and B. Mehlig

  • Department of Physics, University of Gothenburg, SE-41296 Gothenburg, Sweden

Phys. Rev. Fluids 2, 014302 – Published 30 January, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.014302

Abstract

The angular dynamics of a very small ellipsoidal particle in a viscous flow decouples from its translational dynamics and the particle angular velocity is given by Jeffery's theory. It is known that cuboid particles share these properties. In the literature a special case is most frequently discussed, namely that of axisymmetric particles with a continuous rotation symmetry. Here we compute the angular dynamics of crystals that possess a discrete rotation symmetry and certain mirror symmetries but do not have a continuous rotation symmetry. We give examples of such particles that nevertheless obey Jeffery's theory. However, there are other examples where the angular dynamics is determined by a more general equation of motion.

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