Lattice boltzmann simulation of convection in a porous medium with temperature jump and velocity slip boundary conditions

You Sheng Xu, Yang Liu, Xiao Feng Yang, Feng Min Wu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

11 Citations (Scopus)


To investigate the convection in a porous medium, a horizontal quiescent layer of one fluid saturating a porous medium heated from bottom is numerically studied using single lattice-Boltzmann method (LBM) and the generalized Navier-Stokes equation proposed by Nithiarasu et al. [P. Nithiarasu, K.M. Seetharamu, and T Sundararajan Int. J. Heat Mass Trans. 40 (1997) 3955]. Due to the rarefaction, the boundary conditions are considered as both temperature jump and velocity slip. The computational results are validated against the analytical results, and excellent agreement has been obtained. The results have shown that the Rayleigh number is increased with increasing temperature jump, the stabilization effect of temperature is much more significant than that of velocity slip, and the computation stability of present model is better than that of Darcy and Brinkman models.
Original languageEnglish
Pages (from-to)1319-1322
Number of pages4
JournalCommunications in Theoretical Physics
Issue number5
Publication statusPublished - 15 May 2008


  • Boundary condition
  • Convection in porous medium
  • Lattice Boltzmann method

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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