Lattice Boltzmann simulations of turbulent shear flow between parallel porous walls

doi:10.1007/s10483-014-1885-6

Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (12): 1479-1494.doi: https://doi.org/10.1007/s10483-014-1885-6

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Lattice Boltzmann simulations of turbulent shear flow between parallel porous walls

唐政¹, 刘难生³, 宇红^1,2

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;
2. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, P. R. China;
3. Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, P. R. China

收稿日期:2014-01-15 修回日期:2014-05-04 出版日期:2014-12-01 发布日期:2014-12-01
通讯作者: Yu-hong DONG, Professor, Ph.D., E-mail: dongyh@staff.shu.edu.cn E-mail:dongyh@staff.shu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos.10972132 and 11272198)

Lattice Boltzmann simulations of turbulent shear flow between parallel porous walls

Zheng TANG¹, Nan-sheng LIU³, Yu-hong DONG^1,2

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;
2. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, P. R. China;
3. Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, P. R. China

Received:2014-01-15 Revised:2014-05-04 Online:2014-12-01 Published:2014-12-01
Supported by:
Project supported by the National Natural Science Foundation of China (Nos.10972132 and 11272198)

摘要/Abstract

摘要： The effects of two parallel porous walls are investigated, consisting of the Darcy number and the porosity of a porous medium, on the behavior of turbulent shear flows as well as skin-friction drag. The turbulent channel flow with a porous surface is directly simulated by the lattice Boltzmann method (LBM). The Darcy-Brinkman-Forcheimer (DBF) acting force term is added in the lattice Boltzmann equation to simulate the turbulent flow bounded by porous walls. It is found that there are two opposite trends (enhancement or reduction) for the porous medium to modify the intensities of the velocity fluctuations and the Reynolds stresses in the near wall region. The parametric study shows that flow modification depends on the Darcy number and the porosity of the porous medium. The results show that, with respect to the conventional impermeable wall, the degree of turbulence modification does not depend on any simple set of parameters obviously. Moreover, the drag in porous wall-bounded turbulent flow decreases if the Darcy number is smaller than the order of O(10^-4) and the porosity of porous walls is up to 0.4.

关键词: lattice Boltzmann method (LBM), wall-bounded turbulence, Darcy number, porous material, drag coefficient

Abstract: The effects of two parallel porous walls are investigated, consisting of the Darcy number and the porosity of a porous medium, on the behavior of turbulent shear flows as well as skin-friction drag. The turbulent channel flow with a porous surface is directly simulated by the lattice Boltzmann method (LBM). The Darcy-Brinkman-Forcheimer (DBF) acting force term is added in the lattice Boltzmann equation to simulate the turbulent flow bounded by porous walls. It is found that there are two opposite trends (enhancement or reduction) for the porous medium to modify the intensities of the velocity fluctuations and the Reynolds stresses in the near wall region. The parametric study shows that flow modification depends on the Darcy number and the porosity of the porous medium. The results show that, with respect to the conventional impermeable wall, the degree of turbulence modification does not depend on any simple set of parameters obviously. Moreover, the drag in porous wall-bounded turbulent flow decreases if the Darcy number is smaller than the order of O(10^-4) and the porosity of porous walls is up to 0.4.

Key words: Darcy number, drag coefficient, wall-bounded turbulence, porous material, lattice Boltzmann method (LBM)

中图分类号:

TK11

唐政;刘难生;宇红. Lattice Boltzmann simulations of turbulent shear flow between parallel porous walls[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(12): 1479-1494.

Zheng TANG;Nan-sheng LIU;Yu-hong DONG. Lattice Boltzmann simulations of turbulent shear flow between parallel porous walls[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(12): 1479-1494.

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Lattice Boltzmann simulations of turbulent shear flow between parallel porous walls

Lattice Boltzmann simulations of turbulent shear flow between parallel porous walls

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