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Pressure Distribution of the Gaseous Flow in Microchannel: A Lattice Boltzmann Study

Published online by Cambridge University Press:  03 June 2015

Zimian Xu  and
Zhaoli Guo
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Abstract

In this paper the pressure distribution of the gaseous flow in a microchannel is studied via a lattice Boltzmann equation (LBE) method. With effective relaxation times and a generalized second order slip boundary condition, the LBE can be used to simulate rarefied gas flows from slip to transition regimes. The Knudsen minimum phenomena of mass flow rate in the pressure driven flow is also investigated. The effects of Knudsen number (rarefaction effect), pressure ratio and aspect ratio (compression effect) on the pressure distribution are analyzed. It is found the rarefaction effect tends to the curvature of the nonlinear pressure distribution, while the compression effect tends to enhance its nonlinearity. The combined effects lead to a local minimum of the pressure deviation. Furthermore, it is also found that the relationship between the pressure deviation and the aspect ratio follows a pow-law.

Keywords

76P05Lattice Boltzmann methodgaseous flowspressure distributionmicrochannel
Type
Research Article
Information
Communications in Computational Physics , Volume 14 , Issue 4 , October 2013 , pp. 1058 - 1072
Copyright
Copyright © Global Science Press Limited 2013

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