Influence of small inertia on Jeffery orbits

We experimentally investigate the rotational dynamics of neutrally buoyant axisymmetric particles in a simple shear flow. A custom-built shearing cell and a multi-view shape-reconstruction method are used to obtain direct measurements of the orientation and period of rotation of particles having obl...

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Bibliographic Details
Published in:Journal of fluid mechanics 2024-01, Vol.979, Article A42
Main Authors: Di Giusto, Davide, Bergougnoux, Laurence, Marchioli, Cristian, Guazzelli, Élisabeth
Format: Article
Language:English
Subjects:
Aspect ratio
Drift
Engineering Sciences
Fluid flow
Fluids mechanics
Inertia
JFM Notebooks
JFM Papers
Mechanics
Orbits
Reynolds number
Rotation
Shear flow
Shearing
Spheroids
Symmetry
Tumbling
Viscosity
Vorticity
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Summary:We experimentally investigate the rotational dynamics of neutrally buoyant axisymmetric particles in a simple shear flow. A custom-built shearing cell and a multi-view shape-reconstruction method are used to obtain direct measurements of the orientation and period of rotation of particles having oblate and prolate shapes (such as spheroids and cylinders) of varying aspect ratios. By systematically changing the viscosity of the fluid, we examine the effect of inertia (which may be originated from either phase) on the dynamical behaviour of these suspended particles up to a particle Reynolds number of approximately one. While no significant effect on the period of rotation is found in this small-inertia regime, a systematic drift among several rotations toward limiting stable orbits is observed. Prolate particles are seen to drift towards the tumbling orbit in the plane of shear, whereas oblate particles are driven either to the tumbling or to the vorticity-aligned spinning orbits, depending on their initial orientation. These results are compared with recent small-inertia asymptotic theories, assessing their range of validity, as well as to numerical simulations in the small-inertia regime for both prolate and oblate particles.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2023.1007