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Journal Articles Physical Review Fluids Year : 2022

Experimental validation of fluid inertia models for a cylinder settling in a quiescent flow

Abstract

The precise description of the motion of anisotropic particles in a flow rests on the understanding of the force and torque acting on them. Here, we study experimentally small, very elongated particles settling in a fluid at small Reynolds number. In our experiments, we can, to a very good approximation, relate the rate of rotation of cylindrical tungsten rods, of aspect ratios β = 8 and β = 16, settling in pure glycerol, to the torque they are experiencing. This allows us to compare the measured torque with expressions obtained either in the slender-rod limit or in the case of spheroids. Both theories predict a simple angle dependence for the torque, which is found to capture very well the experimental results. The slender-rod theory overestimates the results for the two aspect ratios considered, while the expression obtained for a spheroid provides a better approximation for β = 16. Comparing our results with those of previous experiments provides further insight on the conditions of validity of the slender-rod theory. The translational dynamics is shown to be in qualitative agreement with the slender-rod and spheroid models, the former one being found to represent better the experimental data.
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Dates and versions

hal-03556644 , version 2 (04-02-2022)
hal-03556644 , version 1 (14-02-2022)

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F Cabrera, M Z Sheikh, B Mehlig, N Plihon, Mickaël Bourgoin, et al.. Experimental validation of fluid inertia models for a cylinder settling in a quiescent flow. Physical Review Fluids, 2022, ⟨10.1103/PhysRevFluids.7.024301⟩. ⟨hal-03556644v2⟩
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