中国物理B ›› 2008, Vol. 17 ›› Issue (12): 4554-4561.doi: 10.1088/1674-1056/17/12/037

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

The effect of surface roughness on rarefied gas flows by lattice Boltzmann method

刘超峰, 倪玉山   

  1. Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China
  • 收稿日期:2008-02-01 修回日期:2008-06-30 出版日期:2008-12-20 发布日期:2008-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China and NSAF (Grant No 10576010), and by the Creation Foundation of Fudan University (Grant No 2126003).

The effect of surface roughness on rarefied gas flows by lattice Boltzmann method

Liu Chao-Feng (刘超峰), Ni Yu-Shan (倪玉山)   

  1. Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China
  • Received:2008-02-01 Revised:2008-06-30 Online:2008-12-20 Published:2008-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China and NSAF (Grant No 10576010), and by the Creation Foundation of Fudan University (Grant No 2126003).

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摘要： This paper studies the roughness effect combining with effects of rarefaction and compressibility by a lattice Boltzmann model for rarefied gas flows at high Knudsen numbers. By discussing the effect of the tangential momentum accommodation coefficient on the rough boundary condition, the lattice Boltzmann simulations of nitrogen and helium flows are performed in a two-dimensional microchannel with rough boundaries. The surface roughness effects in the microchannel on the velocity field, the mass flow rate and the friction coefficient are studied and analyzed. Numerical results for the two gases in micro scale show different characteristics from macroscopic flows and demonstrate the feasibility of the lattice Boltzmann model in rarefied gas dynamics.

Abstract: This paper studies the roughness effect combining with effects of rarefaction and compressibility by a lattice Boltzmann model for rarefied gas flows at high Knudsen numbers. By discussing the effect of the tangential momentum accommodation coefficient on the rough boundary condition, the lattice Boltzmann simulations of nitrogen and helium flows are performed in a two-dimensional microchannel with rough boundaries. The surface roughness effects in the microchannel on the velocity field, the mass flow rate and the friction coefficient are studied and analyzed. Numerical results for the two gases in micro scale show different characteristics from macroscopic flows and demonstrate the feasibility of the lattice Boltzmann model in rarefied gas dynamics.

Key words: surface roughness, lattice Boltzmann method, rarefied gas flows, velocity slip

中图分类号:  (Rarefied gas dynamics)

  • 47.45.-n
47.10.-g (General theory in fluid dynamics) 47.60.-i (Flow phenomena in quasi-one-dimensional systems)