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Rotations of small, inertialess triaxial ellipsoids in isotropic turbulence

Published online by Cambridge University Press:  25 May 2017

Nimish Pujara Open the ORCID record for Nimish Pujara [Opens in a new window]  and
Evan A. Variano
Nimish Pujara*
Affiliation:
Department of Civil and Environmental Engineering, University of California, Berkeley, CA 94720, USA
Evan A. Variano
Affiliation:
Department of Civil and Environmental Engineering, University of California, Berkeley, CA 94720, USA
*
†Email address for correspondence: [email protected]
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Abstract

The statistics of rotational motion of small, inertialess triaxial ellipsoids are computed along Lagrangian trajectories extracted from direct numerical simulations of homogeneous isotropic turbulence. The total particle angular velocity and its components along the three principal axes of the particle are considered, expanding on the results of Chevillard & Meneveau (J. Fluid Mech., vol. 737, 2013, pp. 571–596) who showed results of the rotation rate of the particle’s principal axes. The variance of the particle angular velocity, referred to as the particle enstrophy, is found to increase as particles become elongated, regardless of whether they are axisymmetric. This trend is explained by considering the contributions of vorticity and strain rate to particle rotation. It is found that the majority of particle enstrophy is due to fluid vorticity. Strain-rate-induced rotations, which are sensitive to shape, are mostly cancelled by strain–vorticity interactions. The remainder of the strain-rate-induced rotations are responsible for weak variations in particle enstrophy. For particles of all shapes, the majority of the enstrophy is in rotations about the longest axis, which is due to alignment between the longest axis and fluid vorticity. The integral time scale for particle angular velocities about different axes reveals that rotations are most persistent about the longest axis, but that a full revolution is rare.

JFM classification

Turbulent Flows: Isotropic turbulence Biological Fluid Dynamics: Micro-organism dynamics
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Papers
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Journal of Fluid Mechanics , Volume 821 , 25 June 2017 , pp. 517 - 538
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© 2017 Cambridge University Press 

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