SIMULATING TWO- AND THREE-DIMENSIONAL MICROFLOWS BY THE LATTICE BOLTZMANN METHOD WITH KINETIC BOUNDARY CONDITIONS

G. H. Tang (), W. Q. Tao and Y. L. He
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G. H. Tang: State Key laboratory of Multiphase Flow, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, P. R. China
W. Q. Tao: State Key laboratory of Multiphase Flow, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, P. R. China
Y. L. He: State Key laboratory of Multiphase Flow, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, P. R. China

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 05, 805-817

Abstract: An entropic lattice Boltzmann model for gaseous slip flow in microchannels is presented. We relate the Knudsen number with the relaxation time in the lattice Boltzmann evolution equation from the gas kinetic theory. The slip velocity taking the momentum accommodation coefficient into account at the solid boundaries is obtained with kinetic boundary conditions. The two-dimensional micro-Poiseuille flow, microflow over a backward-facing step, micro-lid-driven cavity flow, and three-dimensional microflow are simulated using the present model. Numerical tests show that the results of the present lattice Boltzmann method together with the boundary scheme are in good agreement with the analytical solutions and numerical simulations by the finite volume method.

Keywords: Lattice Boltzmann method; slip boundary condition; flow in microchannels; numerical simulation; 05.70.Ln; 47.11.+j; 05.50.+q (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107010577

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