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Acceleration statistics of tracer and light particles in compressible homogeneous isotropic turbulence

Published online by Cambridge University Press:  03 February 2022

Xiangjun Wang ,
Minping Wan Open the ORCID record for Minping Wan [Opens in a new window]  and
Luca Biferale Open the ORCID record for Luca Biferale [Opens in a new window]
Xiangjun Wang
Affiliation:
Guangdong Provincial Key Laboratory of Turbulence Research and Applications, Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Nanshan District, Shenzhen, Guangdong 518055, PR China Harbin Institute of Technology, Nangang District, Harbin, Heilongjiang 150090, PR China
Minping Wan*
Affiliation:
Guangdong Provincial Key Laboratory of Turbulence Research and Applications, Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Nanshan District, Shenzhen, Guangdong 518055, PR China Southern Marine Science and Engineering Guangdong Laboratory (Guangzhou), 1119 Haibin Road, Nansha District, Guangzhou, Guangdong 511458, PR China
Luca Biferale
Affiliation:
Department of Physics and INFN University of Rome ‘Tor Vergata’, Via della Ricerca Scientifica 1, 00133 Rome, Italy
*
†Email address for correspondence: [email protected]
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Abstract

The accelerations of tracer and light particles (bubbles) in compressible homogeneous isotropic turbulence are investigated by using data from direct numerical simulations up to turbulent Mach number $M_t =1$. For tracer particles, the flatness factor of acceleration components, $F_a$, increases gradually for $M_t \in [0.3, 1]$. On the contrary, $F_a$ for bubbles develops a maximum around $M_t \sim 0.6$. The probability density function of longitudinal acceleration of tracers is increasingly skewed towards the negative value as $M_t$ increases. By contrast, for light particles, the skewness factor of longitudinal acceleration, $S_a$, first becomes more negative with the increase of $M_t$, and then goes back to $0$ when $M_t$ is larger than $0.6$. Similarly, differences among tracers and bubbles appear also in the zero-crossing time of acceleration correlation. It is argued that all these phenomena are intimately linked to the flow structures in the compression regions close to shocklets.

JFM classification

Multiphase and Particle-laden Flows: Particle/fluid flow Turbulent Flows: Compressible turbulence Turbulent Flows: Turbulence theory
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 935 , 25 March 2022 , A36
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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