中国物理B ›› 2004, Vol. 13 ›› Issue (4): 434-440.doi: 10.1088/1009-1963/13/4/003

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Numerical analysis of fluid flow through a cylinder array using a lattice Boltzmann model

董平1, 冯士德2, 赵颖3   

  1. (1)Division of Civil Engineering, Faculty of Engineering and Physical Sciences, University of Dundee, DD1 4HN, United Kingdom; (2)Division of Civil Engineering, Faculty of Engineering and Physical Sciences, University of Dundee, DD1 4HN, United Kingdom; State Key Laboratory of Numerical Modelling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, P. O. Box 9804, Beijing 100029, China; (3)State Key Laboratory of Numerical Modelling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, P. O. Box 9804, Beijing 100029, China
  • 收稿日期:2003-06-24 修回日期:2003-08-09 出版日期:2004-04-22 发布日期:2004-04-20
  • 基金资助:
    Project supported by the UK Engineering and Physical Sciences Research Council (EPSRC) through a research grant (Grant No GR/R72532/01) and by the Chinese Science Foundation through a grant (Grant No ZKCX2-SW-210, 8-1502).

Numerical analysis of fluid flow through a cylinder array using a lattice Boltzmann model

Dong Ping (董平)a, Feng Shi-De (冯士德)ab, Zhao Ying (赵颖)b   

  1. a Division of Civil Engineering, Faculty of Engineering and Physical Sciences, University of Dundee, DD1 4HN, United Kingdom; b State Key Laboratory of Numerical Modelling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, P. O. Box 9804, Beijing 100029, China;
  • Received:2003-06-24 Revised:2003-08-09 Online:2004-04-22 Published:2004-04-20
  • Supported by:
    Project supported by the UK Engineering and Physical Sciences Research Council (EPSRC) through a research grant (Grant No GR/R72532/01) and by the Chinese Science Foundation through a grant (Grant No ZKCX2-SW-210, 8-1502).

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摘要： In this paper we present a detailed computational study of an incompressible Newtonian fluid flow across a periodic array of two-dimensional cylinders which is a simplest non-trivial representation of a porous media. A two-dimensional Lattice Boltzmann Method is used to solve the governing Navier－Stokes equation taking into account of viscous dissipation effects and influence of nonlinear fluid drag. Both the flow fields and the Darcy－Forchheimer drag coefficient as a function of the solid volume fraction are calculated for a wide range of flow Reynolds numbers. The predictions were compared with the results from conventional numerical and empirical models for verification. Apart from confirming that inertial effects can cause a significant deviation from Darcy's law for large velocities the results also show that the characteristics of the vorticity field vary considerably as the Reynolds number increases, which will have major implications to the transport of passive particulate substances within the pores and their removal rate.

关键词: Darcy-Forchheimer drag, porous media, Reynolds number, lattice Boltzmann method

Abstract: In this paper we present a detailed computational study of an incompressible Newtonian fluid flow across a periodic array of two-dimensional cylinders which is a simplest non-trivial representation of a porous media. A two-dimensional Lattice Boltzmann Method is used to solve the governing Navier－Stokes equation taking into account of viscous dissipation effects and influence of nonlinear fluid drag. Both the flow fields and the Darcy－Forchheimer drag coefficient as a function of the solid volume fraction are calculated for a wide range of flow Reynolds numbers. The predictions were compared with the results from conventional numerical and empirical models for verification. Apart from confirming that inertial effects can cause a significant deviation from Darcy's law for large velocities the results also show that the characteristics of the vorticity field vary considerably as the Reynolds number increases, which will have major implications to the transport of passive particulate substances within the pores and their removal rate.

Key words: Darcy-Forchheimer drag, porous media, Reynolds number, lattice Boltzmann method

中图分类号:  (Flows through porous media)

  • 47.56.+r
47.27.-i (Turbulent flows)