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Lattice Boltzmann simulations of convection heat transfer in porous media

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  • Liu, Qing
  • He, Ya-Ling

Abstract

A non-orthogonal multiple-relaxation-time (MRT) lattice Boltzmann (LB) method is developed to study convection heat transfer in porous media at the representative elementary volume scale based on the generalized non-Darcy model. In the method, two different LB models are constructed: one is constructed in the framework of the double-distribution-function approach, and the other is constructed in the framework of the hybrid approach. In particular, the transformation matrices used in the MRT-LB models are non-orthogonal matrices. The present method is applied to study mixed convection flow in a porous channel and natural convection flow in a porous cavity. It is found that the numerical results are in good agreement with the analytical solutions and/or other results reported in previous studies. Furthermore, the non-orthogonal MRT-LB method shows better numerical stability in comparison with the BGK-LB method.

Suggested Citation

  • Liu, Qing & He, Ya-Ling, 2017. "Lattice Boltzmann simulations of convection heat transfer in porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 742-753.
    • Handle: RePEc:eee:phsmap:v:465:y:2017:i:c:p:742-753
    DOI: 10.1016/j.physa.2016.08.010
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    References listed on IDEAS

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    1. David M. Freed, 1998. "Lattice-Boltzmann Method for Macroscopic Porous Media Modeling," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(08), pages 1491-1503.
    2. Seta, Takeshi & Takegoshi, Eishun & Okui, Kenichi, 2006. "Lattice Boltzmann simulation of natural convection in porous media," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 72(2), pages 195-200.
    3. Q. Li & Y. L. He & Y. Wang & G. H. Tang, 2008. "An Improved Thermal Lattice Boltzmann Model For Flows Without Viscous Heat Dissipation And Compression Work," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 125-150.
    4. Liu, Qing & He, Ya-Ling, 2015. "Double multiple-relaxation-time lattice Boltzmann model for solid–liquid phase change with natural convection in porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 94-106.
    5. S. Succi, 2008. "Lattice Boltzmann across scales: from turbulence to DNA translocation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 64(3), pages 471-479, August.
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    Cited by:

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    2. Raoudha Chaabane & Annunziata D’Orazio & Abdelmajid Jemni & Arash Karimipour & Ramin Ranjbarzadeh, 2021. "Convection Inside Nanofluid Cavity with Mixed Partially Boundary Conditions," Energies, MDPI, vol. 14(20), pages 1-20, October.
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    4. Nemati, Maedeh & Shateri Najaf Abady, Ali Reza & Toghraie, Davood & Karimipour, Arash, 2018. "Numerical investigation of the pseudopotential lattice Boltzmann modeling of liquid–vapor for multi-phase flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 489(C), pages 65-77.
    5. Sivasankaran, S. & Alsabery, A.I. & Hashim, I., 2018. "Internal heat generation effect on transient natural convection in a nanofluid-saturated local thermal non-equilibrium porous inclined cavity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 275-293.

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