Angular dynamics of a small particle in turbulence

Abstract

We compute the angular dynamics of a neutrally buoyant nearly spherical particle immersed in an unsteady fluid. We assume that the particle is small, that its translational slip velocity is negligible, and that unsteady and convective inertia are small perturbations. We derive an approximation for the torque on the particle that determines the first inertial corrections to Jeffery's equation. These corrections arise as a consequence of local vortex stretching, and can be substantial in turbulence where local vortex stretching is strong and closely linked to the irreversibility of turbulence.

arXiv comment4 pages, 2 figures, revised version, supplementary material

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• Fluid inertial torque is an effective gyrotactic mechanism for settling elongated micro-swimmers
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• Rotation of anisotropic particles in Rayleigh-Bénard turbulence
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• Rotational dynamics of bottom-heavy rods in turbulence from experiments and numerical simulations
• Transport of condensing droplets in Taylor-Green vortex flow in the presence of thermal noise
• Generalization of Taylor's formula to particles of arbitrary inertia