Angular dynamics of small crystals in viscous flow

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 that do not have a continuous rotation symmetry. We give examples of such particles that nevertheless obey Jeffery's theory. But there are other examples where the angular dynamics is determined by a more general equation of motion.

8 pages, 6 figures, revised version

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Cited by in corpus (11)

• Statistical model for the orientation of non-spherical particles settling in turbulence
• Theory for the effect of fluid inertia on the orientation of a small particle settling in turbulence
• Jeffery's orbits and microswimmers in flows: A theoretical review
• Effect of particle inertia on the alignment of small ice crystals in turbulent clouds
• Inertial torque on a small spheroid in a stationary uniform flow
• Alignment statistics of rods with the Lagrangian stretching direction in a channel flow
• Lord Kelvin's isotropic helicoid
• The effects of rapid yawing on simple swimmer models and planar Jeffery's orbits
• Helical Ribbons: Simple Chiral Sedimentation
• Spinning and tumbling of micron-sized triangles in a micro-channel shear flow
• Motility and rotation of multi-timescale microswimmers in linear background flows