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Transport of inertial spherical particles in compressible turbulent boundary layers

Published online by Cambridge University Press:  12 August 2024

Ming Yu Open the ORCID record for Ming Yu [Opens in a new window] ,
Lihao Zhao Open the ORCID record for Lihao Zhao [Opens in a new window] ,
Xianxu Yuan Open the ORCID record for Xianxu Yuan [Opens in a new window]  and
Chunxiao Xu Open the ORCID record for Chunxiao Xu [Opens in a new window]
Ming Yu
Affiliation:
State Key Laboratory of Aerodynamics, China Aerodynamics R&D Center, Mianyang 621000, PR China
Lihao Zhao
Affiliation:
Key Laboratory of Applied Mechanics, Ministry of Education, Institute of Fluid Mechanics, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, PR China
Xianxu Yuan*
Affiliation:
State Key Laboratory of Aerodynamics, China Aerodynamics R&D Center, Mianyang 621000, PR China
Chunxiao Xu*
Affiliation:
Key Laboratory of Applied Mechanics, Ministry of Education, Institute of Fluid Mechanics, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, PR China
*
†Email addresses for correspondence: yuanxianxu2023@163.com, xucx@tsinghua.edu.cn
†Email addresses for correspondence: yuanxianxu2023@163.com, xucx@tsinghua.edu.cn
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Abstract

In the present study, we perform direct numerical simulations of compressible turbulent boundary layers at free stream Mach numbers $2\unicode{x2013}6$ laden with dilute phase of spherical particles to investigate the Mach number effects on particle transport and dynamics. Most of the phenomena observed and well-recognized for inertia particles in incompressible wall-bounded turbulent flows – such as near-wall preferential accumulation and clustering beneath low-speed streaks, flatter mean velocity profiles, and trend variation of the particle velocity fluctuations – are identified in the compressible turbulent boundary layer as well. However, we find that the compressibility effects are significant for large inertia particles. As the Mach number increases, the near-wall accumulation and the small-scale clustering are alleviated, which is probably caused by the variations of the fluid density and viscosity that are crucial to particle dynamics. This can be affected by the fact that the forces acting on the particles with viscous Stokes number greater than 500 are modulated by the comparatively high particle Mach numbers in the near-wall region. This is also the reason for the abatement of the streamwise particle velocity fluctuation intensities with the Mach numbers.

JFM classification

Aerodynamics: High-speed flow Turbulent Flows: Compressible turbulence Multiphase and Particle-laden Flows: Particle/fluid flow

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JFM Papers
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Journal of Fluid Mechanics , Volume 990 , 10 July 2024 , A5
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© The Author(s), 2024. Published by Cambridge University Press

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