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Modelling thermal flow in a transition regime using a lattice Boltzmann approach

Zhang, Yonghao and Gu, X.J. and Barber, Robert W. and Emerson, David (2007) Modelling thermal flow in a transition regime using a lattice Boltzmann approach. EPL: A Letters Journal Exploring the Frontiers of Physics, 77 (3). 30003.1-30003.5. ISSN 0295-5075

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Abstract

Lattice Boltzmann models are already able to capture important rarefied flow phenomena, such as velocity-slip and temperature jump, provided the effects of the Knudsen layer are minimal. However, both conventional hydrodynamics, as exemplified by the Navier-Stokes-Fourier equations, and the lattice Boltzmann method fail to predict the nonlinear velocity and temperature variations in the Knudsen layer that have been observed in kinetic theory. In the present paper, we propose an extension to the lattice Boltzmann method that will enable the simulation of thermal flows in the transition regime where Knudsen layer effects are significant. A correction function is introduced that accounts for the reduction in the mean free path near a wall. This new approach is compared with direct simulation Monte Carlo data for Fourier flow and good qualitative agreement is obtained for Knudsen numbers up to 1.58.

Item type: Article
ID code: 6664
Keywords: physics, flow dynamics, knudsen layer, hydrodynamics, thermal flow, Mechanical engineering and machinery, Physics, Physics and Astronomy(all)
Subjects: Technology > Mechanical engineering and machinery
Science > Physics
Department: Faculty of Engineering > Mechanical and Aerospace Engineering
Depositing user: Strathprints Administrator
Date Deposited: 20 Aug 2008
Last modified: 26 Mar 2015 19:46
URI: http://strathprints.strath.ac.uk/id/eprint/6664

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