IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v438y2015icp94-106.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437115005713
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2015.06.018?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. 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.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Liu, Qing & Feng, Xiang-Bo & Wang, Xiao-Lei, 2020. "Multiple-relaxation-time lattice Boltzmann model for convection heat transfer in porous media under local thermal non-equilibrium condition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    2. 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.
    3. Lai, Huilin & Ma, Changfeng, 2014. "A new lattice Boltzmann model for solving the coupled viscous Burgers’ equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 445-457.
    4. Bakhshan, Younes & Omidvar, Alireza, 2015. "Calculation of friction coefficient and analysis of fluid flow in a stepped micro-channel for wide range of Knudsen number using Lattice Boltzmann (MRT) method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 440(C), pages 161-175.
    5. Otomo, Hiroshi & Boghosian, Bruce M. & Dubois, François, 2017. "Two complementary lattice-Boltzmann-based analyses for nonlinear systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 1000-1011.
    6. Kaur, Navneet & Joshi, Varun, 2024. "Kuramoto-Sivashinsky equation: Numerical solution using two quintic B-splines and differential quadrature method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 220(C), pages 105-127.
    7. Duan, Yali & Kong, Linghua & Zhang, Rui, 2012. "A lattice Boltzmann model for the generalized Burgers–Huxley equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 625-632.
    8. Jourabian, Mahmoud & Rabienataj Darzi, A. Ali & Akbari, Omid Ali & Toghraie, Davood, 2020. "The enthalpy-based lattice Boltzmann method (LBM) for simulation of NePCM melting in inclined elliptical annulus," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).
    9. Milad Shirbani & Majid Siavashi & Mehdi Bidabadi, 2023. "Phase Change Materials Energy Storage Enhancement Schemes and Implementing the Lattice Boltzmann Method for Simulations: A Review," Energies, MDPI, vol. 16(3), pages 1-23, January.
    10. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:438:y:2015:i:c:p:94-106. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.