Lattice Boltzmann method simulation gas slip flow in long microtubes

Purpose - This paper aims to examine how using lattice Boltzmann method (LBM) aids the study of the isothermal-gas flow with slight rarefaction in long microtubes.Design methodology approach - A revised axisymmetric lattice Boltzmann model is proposed to simulate the flow in microtubes. The wall bou...

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Published inInternational journal of numerical methods for heat & fluid flow Vol. 17; no. 6; pp. 587 - 607
Main Authors Huang, Haibo, Lee, T.S, Shu, C
Format Journal Article
LanguageEnglish
Published Bradford Emerald Group Publishing Limited 14.08.2007
Subjects
Approximation
Approximation theory
Average velocity
Boundary conditions
Equilibrium
Flow
Fluid dynamics
Fluid mechanics
Laminar flow
Numerical analysis
Pressure distribution
Simulation
Studies
Velocity
Viscosity
Fluid mechanics
Approximation theory
Numerical analysis
Laminar flow
Flow
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Summary:Purpose - This paper aims to examine how using lattice Boltzmann method (LBM) aids the study of the isothermal-gas flow with slight rarefaction in long microtubes.Design methodology approach - A revised axisymmetric lattice Boltzmann model is proposed to simulate the flow in microtubes. The wall boundary condition combining the bounce-back and specular-reflection schemes is used to capture the slip velocity on the wall. Appropriate relation between the Knudsen number and relax-time constant is defined.Findings - The computed-slip velocity, average velocity and non-linear pressure distribution along the microtube are in excellent agreement with analytical solution of the weakly compressible Navier-Stokes equations. The calculated-friction factors are also consistent with available experimental data. For simulations of slip flow in microtube, LBM is more accurate and efficient than DSMC method.Research limitations implications - The laminar flow in circular microtube is assumed to be axisymmetric. The present LBM is only applied to the simulation of slip flows (0.01 < Kn0<0.1) in microtube.Practical implications - Lattice-BGK method is a very useful tool to investigate the micro slip flows.Originality value - A revised axisymmetric D2Q9 lattice Boltzmann model is proposed to simulate the slip flow in axisymmetric microtubes.
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ISSN:0961-5539
1758-6585
DOI:10.1108/09615530710761225