期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 228, 期 1, 页码 147-157出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2008.09.004
关键词
Gas flow through microchannel; Slip flow; Lattice Boltzmann equation with multiple relaxation times
资金
- Research Foundation-Flanders (FWO-Vlaanderen)
- National Science Foundation of the US [CBET-0500213, DMS-0807983]
- NASA Langley Research Center through a C&I grant via the NIA [NCC-1-02043]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0807983] Funding Source: National Science Foundation
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.
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