Simulation of microchannel flow using the lattice Boltzmann method

Sheng Chen and Zhiwei Tian

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 23, 4803-4810

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.

Keywords: Lattice Boltzmann method; Langmuir slip model; Isothermal microchannel flow (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:23:p:4803-4810

DOI: 10.1016/j.physa.2009.08.015

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