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Decay rate of homogeneous isotropic turbulence laden with finite-size particles

Published online by Cambridge University Press:  13 September 2024

Qichao Sun ,
Cheng Peng Open the ORCID record for Cheng Peng [Opens in a new window] ,
Lian-Ping Wang Open the ORCID record for Lian-Ping Wang [Opens in a new window] ,
Songying Chen  and
Zuchao Zhu
Qichao Sun
Affiliation:
Key Laboratory of High Efficiency and Clean Mechanical Manufacture, Ministry of Education, School of Mechanical Engineering, Shandong University, Jinan 250061, PR China
Cheng Peng*
Affiliation:
Key Laboratory of High Efficiency and Clean Mechanical Manufacture, Ministry of Education, School of Mechanical Engineering, Shandong University, Jinan 250061, PR China
Lian-Ping Wang
Affiliation:
Guangdong Provincial Key Laboratory of Turbulence Research and Applications, Center for Complex Flows and Soft Matter Research and Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, Guangdong, PR China
Songying Chen
Affiliation:
Key Laboratory of High Efficiency and Clean Mechanical Manufacture, Ministry of Education, School of Mechanical Engineering, Shandong University, Jinan 250061, PR China
Zuchao Zhu
Affiliation:
School of Mechanical Engineering, Zhejiang Sci-Tech University, Hangzhou 310018, PR China
*
†Email address for correspondence: pengcheng@sdu.edu.cn
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Abstract

This study conducts particle-resolved direct numerical simulations to analyse how finite-size spherical particles affect the decay rate of turbulent kinetic energy in non-sustained homogeneous isotropic turbulence. The decaying particle-laden homogeneous isotropic turbulence is generated with two set-ups, i.e. (1) releasing particles into a single-phase decaying homogeneous isotropic turbulence and (2) switching off the driving force of a sustained particle-laden homogeneous isotropic turbulence. With both set-ups, the decay of turbulent kinetic energy follows a power-law when the flow is fully relaxed, similar to their single-phase counterparts. The dependence of the power-law decay exponent $n$ on the particle-to-fluid density ratio, particle size and volume fraction is also investigated, and a predictive model is developed. We find that the presence of heavier particles slows down the long-time power-law decay exponent.

JFM classification

Multiphase and Particle-laden Flows: Particle/fluid flow Turbulent Flows: Homogeneous turbulence Turbulent Flows: Isotropic turbulence
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 993 , 25 August 2024 , A15
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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