Simulation of microchannel flow using the lattice Boltzmann method

Sheng Chen, Zhiwei Tian*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

60 Citations (Scopus)

Abstract

For microchannel flow simulation, the slip boundary model is very important to guarantee the accuracy of the solution. In this paper, a new slip model, the Langmuir slip model, instead of the popularly used Maxwell slip model, is incorporated into the lattice Boltzmann (LB) method through the non-equilibrium extrapolation scheme to simulate the rarefied gas flow. Its feasibility and accuracy are examined by simulations of microchannel flow. Although, for simplicity, in this paper our recently developed LB model is used to solve the flow field, this does not prevent the present boundary scheme from easily incorporating other LB models, for example the more advanced collision model with multiple relaxation times. In addition, the existing non-equilibrium extrapolation LB boundary scheme for macroscopic flows can be recovered naturally from the present scheme when the Knudsen number Kn → 0.
Original languageEnglish
Pages (from-to)4803-4810
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Volume388
Issue number23
Early online date19 Aug 2009
DOIs
Publication statusPublished - 1 Dec 2009
Externally publishedYes

Keywords

  • Isothermal microchannel flow
  • Langmuir slip model
  • Lattice Boltzmann method

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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