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Lattice Boltzmann simulations of pressure-driven flows in microchannels using Navier-Maxwell slip boundary conditions

Abstract:

We present lattice Boltzmann simulations of rarefied flows driven by pressure drops along two-dimensional microchannels. Rarefied effects lead to non-zero cross-channel velocities, nonlinear variations in the pressure along the channel. Both effects are absent in flows driven by uniform body forces. We obtain second-order accuracy for the two components of velocity the pressure relative to asymptotic solutions of the compressible Navier-Stokes equations with slip boundary conditions. Since th...

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Publication status:
Published

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Publisher copy:
10.1063/1.4764514

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
PHYSICS OF FLUIDS
Volume:
24
Issue:
11
Pages:
112001-112001
Publication date:
2012-11-01
DOI:
ISSN:
1070-6631
Source identifiers:
375365
Language:
English
Keywords:
Pubs id:
pubs:375365
UUID:
uuid:24524ebd-8867-4dfd-a155-52d19abef659
Local pid:
pubs:375365
Deposit date:
2013-11-16

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