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Particle radial velocity and concentration kernels estimation in isotropic grid turbulence experiments of inertialess particles at small separation distances

Published online by Cambridge University Press:  25 May 2022

Si Chen ,
Pierre-Yves Passaggia Open the ORCID record for Pierre-Yves Passaggia [Opens in a new window]  and
Brian L. White Open the ORCID record for Brian L. White [Opens in a new window]
Si Chen
Affiliation:
Earth, Marine, and Environmental Sciences Department, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599, USA
Pierre-Yves Passaggia*
Affiliation:
Earth, Marine, and Environmental Sciences Department, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599, USA University of Orléans, INSA-CVL, PRISME, EA 4229, 45072 Orléans, France Carolina Center for Interdisciplinary Applied Mathematics, Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599, USA
Brian L. White*
Affiliation:
Earth, Marine, and Environmental Sciences Department, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599, USA
*
†Email addresses for correspondence: pierre-yves.passaggia@univ-orleans.fr, bwhite@unc.edu
†Email addresses for correspondence: pierre-yves.passaggia@univ-orleans.fr, bwhite@unc.edu
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Abstract

We report experimental measurements of kinematic and dynamic particle concentration kernels conditioned by the separation distances of solid inertialess particles in isotropic turbulence by three-dimensional particle tracking velocimetry with particle diameters smaller than the Kolmogorov length scale. Particle radial relative velocity statistics are measured from the dissipation to the integral length-scale range. The radial scaling of particle and fluid relative velocity variance $\langle w_r(r)^{2} \rangle \sim r^{2/3}$ in the inertial subrange, consistent with Kolmogorov's theory, is reported, while a new scaling is found for small distances due to finite-size effects between particles. The measured concentration kernels at small separation distances therefore deviate from those in the theory of Saffman & Turner (J. Fluid Mech., vol. 1, 1956, pp. 16–30) at small inter-particle distances due to hydrodynamic interactions. A real kernel taking into account the history of the particle tracks and excluding multiple events is also calculated, while the normalised particle concentration kernels are found to be essentially insensitive to the flow Reynolds number.

JFM classification

Turbulent Flows: Isotropic turbulence
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 942 , 10 July 2022 , A39
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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