Title: Lattice Boltzmann modeling of microchannel flow in slip flow regime
Authors: Verhaeghe, Frederik ×
Luo, Li-Shi
Blanpain, Bart #
Issue Date: Jan-2009
Publisher: Academic press inc elsevier science
Series Title: Journal of computational physics vol:228 issue:1 pages:147-157
Abstract: We present the lattice Boltzmann equation (LBE) with multiple relaxation times (MRT) to simulate pressure-driven gaseous flow in a long microchannel. We obtain analytic solutions of the MRT-LBE with various boundary conditions for the incompressible Poiseuille flow with its walls aligned with a lattice axis. The analytical solutions are used to realize the Dirichlet boundary conditions in the LBE. We use the first-order slip boundary conditions at the walls and consistent pressure boundary conditions at both ends of the long microchannel. We validate the LBE results using the compressible Navier-Stokes (NS) equations with a first-order slip velocity, the information-preservation direct simulation Monte Carlo (IP-DSMC) and DSMC methods. As expected, the LBE results agree very well with IP-DSMC and DSMC results in the slip velocity regime, but deviate significantly from IP-DSMC and DSMC results in the transition-flow regime in part due to the inadequacy of the slip velocity model, while still agreeing very well with the slip NS results. Possible extensions of the LBE for transition flows are discussed. (C) 2008 Elsevier Inc. All rights reserved.
ISSN: 0021-9991
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Chemical and Extractive Metallurgy Section (-)
× corresponding author
# (joint) last author

Files in This Item:
File Description Status SizeFormat
pub04800.pdfMain article Published 396KbAdobe PDFView/Open Request a copy

These files are only available to some KU Leuven Association staff members


All items in Lirias are protected by copyright, with all rights reserved.

© Web of science