Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (2): 293-304.doi: https://doi.org/10.1007/s10483-019-2426-8

• 论文 • 上一篇    

Effects of finite-size neutrally buoyant particles on the turbulent channel flow at a Reynolds number of 395

Zhaosheng YU, Chenlin ZHU, Yu WANG, Xueming SHAO   

  1. State Key Laboratory of Fluid Power and Mechatronic System, Department of Mechanics, Zhejiang University, Hangzhou 310027, China
  • 收稿日期:2018-09-04 修回日期:2018-10-22 出版日期:2019-02-01 发布日期:2019-02-01
  • 通讯作者: Zhaosheng YU E-mail:yuzhaosheng@zju.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Nos. 91752117, 11632016, and 11372275) and the Natural Science Foundation of Zhejiang Province of China (No. LY17A020005)

Effects of finite-size neutrally buoyant particles on the turbulent channel flow at a Reynolds number of 395

Zhaosheng YU, Chenlin ZHU, Yu WANG, Xueming SHAO   

  1. State Key Laboratory of Fluid Power and Mechatronic System, Department of Mechanics, Zhejiang University, Hangzhou 310027, China
  • Received:2018-09-04 Revised:2018-10-22 Online:2019-02-01 Published:2019-02-01
  • Contact: Zhaosheng YU E-mail:yuzhaosheng@zju.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Nos. 91752117, 11632016, and 11372275) and the Natural Science Foundation of Zhejiang Province of China (No. LY17A020005)

摘要: A direct-forcing fictitious domain (DFFD) method is used to perform fully resolved numerical simulations of turbulent channel flows laden with large neutrally buoyant particles. The effects of the particles on the turbulence (including the mean velocity, the root mean square (RMS) of the velocity fluctuation, the probability density function (PDF) of the velocity, and the vortex structures) at a friction Reynolds number of 395 are investigated. The results show that the drag-reduction effect caused by finite-size spherical particles at low particle volumes is negligibly small. The particle effects on the RMS velocities at Reτ=395 are significantly smaller than those at Reτ=180, despite qualitatively the same effects, i.e., the presence of particles decreases the maximum streamwise RMS velocity near the wall via weakening the large-scale streamwise vortices, and increases the transverse and spanwise RMS velocities in the vicinity of the wall by inducing smaller-scale vortices. The effects of the particles on the PDFs of the fluid fluctuating velocities normalized with the RMS velocities are small, regardless of the particle size, the particle volume fraction, and the Reynolds number.

关键词: numerical simulations, TVD schemes, NND schemes, implicit NND schemes, turbulent channel flow, finite-size particle, direct numerical simulation (DNS)

Abstract: A direct-forcing fictitious domain (DFFD) method is used to perform fully resolved numerical simulations of turbulent channel flows laden with large neutrally buoyant particles. The effects of the particles on the turbulence (including the mean velocity, the root mean square (RMS) of the velocity fluctuation, the probability density function (PDF) of the velocity, and the vortex structures) at a friction Reynolds number of 395 are investigated. The results show that the drag-reduction effect caused by finite-size spherical particles at low particle volumes is negligibly small. The particle effects on the RMS velocities at Reτ=395 are significantly smaller than those at Reτ=180, despite qualitatively the same effects, i.e., the presence of particles decreases the maximum streamwise RMS velocity near the wall via weakening the large-scale streamwise vortices, and increases the transverse and spanwise RMS velocities in the vicinity of the wall by inducing smaller-scale vortices. The effects of the particles on the PDFs of the fluid fluctuating velocities normalized with the RMS velocities are small, regardless of the particle size, the particle volume fraction, and the Reynolds number.

Key words: numerical simulations, TVD schemes, implicit NND schemes, NND schemes, direct numerical simulation (DNS), turbulent channel flow, finite-size particle

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