Gas flow in microchannels - a Lattice Boltzmann method approach

Y. H. Zhang, R. S. Qin, Y.H. Sun, R. W. Barber, D. R. Emerson

Research output: Contribution to journalArticle

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Abstract

Gas flow in microchannels can often encounter tangential slip motion at the solid surface even under creeping flow conditions. To simulate low speed gas flows with Knudsen numbers extending into the transition regime, alternative methods to both the Navier-Stokes and direct simulation Monte Carlo approaches are needed that balance computational efficiency and simulation accuracy. The lattice Boltzmann method offers an approach that is particularly suitable for mesoscopic simulation where details of the molecular motion are not required. In this paper, the lattice Boltzmann method has been applied to gas flows with finite Knudsen number and the tangential momentum accommodation coefficient has been implemented to describe the gas-surface interactions. For fully-developed channel flows, the results of the present method are in excellent agreement with the analytical slip-flow solution of the Navier-Stokes equations, which are valid for Knudsen numbers less than 0.1. The present paper demonstrates that the lattice Boltzmann approach is a promising alternative simulation tool for the design of microfluidic devices.
Original languageEnglish
Pages (from-to)257-267
Number of pages11
JournalJournal of Statistical Physics
Volume121
Issue number1-2
DOIs
Publication statusPublished - Oct 2005

Fingerprint

Knudsen number
Microchannel
Lattice Boltzmann Method
Gas Flow
microchannels
Knudsen flow
gas flow
Slip Flow
Creeping Flow
Direct Simulation Monte Carlo
Computational Simulation
Motion
simulation
Channel Flow
Lattice Boltzmann
Alternatives
Microfluidics
Simulation Tool
slip flow
Navier-Stokes

Keywords

  • Lattice Boltzmann equation
  • accommodation coefficient
  • Knudsen number
  • rarefied gas dynamics
  • microfluidics

Cite this

Zhang, Y. H. ; Qin, R. S. ; Sun, Y.H. ; Barber, R. W. ; Emerson, D. R. / Gas flow in microchannels - a Lattice Boltzmann method approach. In: Journal of Statistical Physics. 2005 ; Vol. 121, No. 1-2. pp. 257-267.
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Gas flow in microchannels - a Lattice Boltzmann method approach. / Zhang, Y. H.; Qin, R. S.; Sun, Y.H.; Barber, R. W.; Emerson, D. R.

In: Journal of Statistical Physics, Vol. 121, No. 1-2, 10.2005, p. 257-267.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Gas flow in microchannels - a Lattice Boltzmann method approach

AU - Zhang, Y. H.

AU - Qin, R. S.

AU - Sun, Y.H.

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AB - Gas flow in microchannels can often encounter tangential slip motion at the solid surface even under creeping flow conditions. To simulate low speed gas flows with Knudsen numbers extending into the transition regime, alternative methods to both the Navier-Stokes and direct simulation Monte Carlo approaches are needed that balance computational efficiency and simulation accuracy. The lattice Boltzmann method offers an approach that is particularly suitable for mesoscopic simulation where details of the molecular motion are not required. In this paper, the lattice Boltzmann method has been applied to gas flows with finite Knudsen number and the tangential momentum accommodation coefficient has been implemented to describe the gas-surface interactions. For fully-developed channel flows, the results of the present method are in excellent agreement with the analytical slip-flow solution of the Navier-Stokes equations, which are valid for Knudsen numbers less than 0.1. The present paper demonstrates that the lattice Boltzmann approach is a promising alternative simulation tool for the design of microfluidic devices.

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