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Double multiple-relaxation-time lattice Boltzmann model for solid–liquid phase change with natural convection in porous media

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  • Liu, Qing
  • He, Ya-Ling

Abstract

In this paper, a double multiple-relaxation-time lattice Boltzmann model is developed for simulating transient solid–liquid phase change problems in porous media at the representative elementary volume scale. The model uses two different multiple-relaxation-time lattice Boltzmann equations, one for the flow field and the other for the temperature field with nonlinear latent heat source term. The model is based on the generalized non-Darcy formulation, and the solid–liquid interface is traced through the liquid fraction which is determined by the enthalpy-based method. The present model is validated by numerical simulations of conduction melting in a semi-infinite space, solidification in a semi-infinite corner, and convection melting in a square cavity filled with porous media. The numerical results demonstrate the efficiency and accuracy of the present model for simulating transient solid–liquid phase change problems in porous media.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:438:y:2015:i:c:p:94-106
    DOI: 10.1016/j.physa.2015.06.018
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    References listed on IDEAS

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    1. Miller, W. & Rasin, I. & Succi, S., 2006. "Lattice Boltzmann phase-field modelling of binary-alloy solidification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(1), pages 78-83.
    2. Lai, Huilin & Ma, Changfeng, 2009. "Lattice Boltzmann method for the generalized Kuramoto–Sivashinsky equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1405-1412.
    3. 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.
    4. Liu, Qing & He, Ya-Ling, 2015. "Multiple-relaxation-time lattice Boltzmann modeling of incompressible flows in porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 215-230.
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    Cited by:

    1. Zhang, Shuai & Feng, Daili & Shi, Lei & Wang, Li & Jin, Yingai & Tian, Limei & Li, Ziyuan & Wang, Guoyong & Zhao, Lei & Yan, Yuying, 2021. "A review of phase change heat transfer in shape-stabilized phase change materials (ss-PCMs) based on porous supports for thermal energy storage," Renewable and Sustainable Energy Reviews, Elsevier, vol. 135(C).
    2. Riheb Mabrouk & Hassane Naji & Hacen Dhahri & Zohir Younsi, 2020. "Insight into Foam Pore Effect on Phase Change Process in a Plane Channel under Forced Convection Using the Thermal Lattice Boltzmann Method," Energies, MDPI, vol. 13(15), pages 1-29, August.
    3. Jourabian, Mahmoud & Darzi, A. Ali Rabienataj & Toghraie, Davood & Akbari, Omid ali, 2018. "Melting process in porous media around two hot cylinders: Numerical study using the lattice Boltzmann method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 316-335.
    4. Asadollahi, Arash & Esmaeeli, Asghar, 2018. "Simulation of condensation and liquid break-up on a micro-object with upper and lower movable walls using Lattice Boltzmann Method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 498(C), pages 33-49.
    5. Noyola-García, Benjamín Salomón & Rodriguez-Romo, Suemi, 2021. "Simulations of Ga melting based on multiple-relaxation time lattice Boltzmann method performed with CUDA in Python," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 170-191.
    6. Dai, Renkun & Li, Wei & Mostaghimi, Javad & Wang, Qiuwang & Zeng, Min, 2020. "On the optimal heat source location of partially heated energy storage process using the newly developed simplified enthalpy based lattice Boltzmann method," Applied Energy, Elsevier, vol. 275(C).
    7. 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.
    8. 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.
    9. 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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