IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v12y2019i5p868-d211210.html
   My bibliography  Save this article

An Optimum Enthalpy Approach for Melting and Solidification with Volume Change

Author

Listed:
  • Moritz Faden

    (Chair of Thermodynamics and Transport Processes (LTTT), Centre of Energy Technology (ZET), University of Bayreuth, Universitätsstraße 30, 95440 Bayreuth, Germany)

  • Andreas König-Haagen

    (Chair of Thermodynamics and Transport Processes (LTTT), Centre of Energy Technology (ZET), University of Bayreuth, Universitätsstraße 30, 95440 Bayreuth, Germany)

  • Dieter Brüggemann

    (Chair of Thermodynamics and Transport Processes (LTTT), Centre of Energy Technology (ZET), University of Bayreuth, Universitätsstraße 30, 95440 Bayreuth, Germany)

Abstract

Classical numerical methods for solving solid–liquid phase change assume a constant density upon melting or solidification and are not efficient when applied to phase change with volume expansion or shrinkage. However, solid–liquid phase change is accompanied by a volume change and an appropriate numerical method must take this into account. Therefore, an efficient algorithm for solid–liquid phase change with a density change is presented. Its performance for a one-dimensional solidification problem and for the quasi two-dimensional melting of octadecane in a cubic cavity was tested. The new algorithm requires less than 1/9 of the iterations compared to the source based method in one dimension and less than 1/7 in two dimensions. Moreover, the new method is validated against PIV measurements from the literature. A conjugate heat transfer simulation, which includes parts of the experimental setup, shows that parasitic heat fluxes can significantly alter the shape of the phase front near the bottom wall.

Suggested Citation

  • Moritz Faden & Andreas König-Haagen & Dieter Brüggemann, 2019. "An Optimum Enthalpy Approach for Melting and Solidification with Volume Change," Energies, MDPI, vol. 12(5), pages 1-21, March.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:5:p:868-:d:211210
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/12/5/868/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/12/5/868/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Sebastian Kuboth & Andreas König-Haagen & Dieter Brüggemann, 2017. "Numerical Analysis of Shell-and-Tube Type Latent Thermal Energy Storage Performance with Different Arrangements of Circular Fins," Energies, MDPI, vol. 10(3), pages 1-14, February.
    2. Vélez, C. & Khayet, M. & Ortiz de Zárate, J.M., 2015. "Temperature-dependent thermal properties of solid/liquid phase change even-numbered n-alkanes: n-Hexadecane, n-octadecane and n-eicosane," Applied Energy, Elsevier, vol. 143(C), pages 383-394.
    3. Zhang, P. & Ma, Z.W. & Wang, R.Z., 2010. "An overview of phase change material slurries: MPCS and CHS," Renewable and Sustainable Energy Reviews, Elsevier, vol. 14(2), pages 598-614, February.
    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. Xu, Minghan & Akhtar, Saad & Zueter, Ahmad F. & Alzoubi, Mahmoud A. & Sushama, Laxmi & Sasmito, Agus P., 2021. "Asymptotic analysis of a two-phase Stefan problem in annulus: Application to outward solidification in phase change materials," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    2. Akhtar, Saad & Xu, Minghan & Mohit, Mohammaderfan & Sasmito, Agus P., 2023. "A comprehensive review of modeling water solidification for droplet freezing applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 188(C).
    3. Andreas König-Haagen & Erwin Franquet & Moritz Faden & Dieter Brüggemann, 2021. "A Study on the Numerical Performances of Diffuse Interface Methods for Simulation of Melting and Their Practical Consequences," Energies, MDPI, vol. 14(2), pages 1-16, January.

    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. Kawanami, Tsuyoshi & Togashi, Kenichi & Fumoto, Koji & Hirano, Shigeki & Zhang, Peng & Shirai, Katsuaki & Hirasawa, Shigeki, 2016. "Thermophysical properties and thermal characteristics of phase change emulsion for thermal energy storage media," Energy, Elsevier, vol. 117(P2), pages 562-568.
    2. Zhang, Guanhua & Yu, Zhenjie & Cui, Guomin & Dou, Binlin & Lu, Wei & Yan, Xiaoyu, 2020. "Fabrication of a novel nano phase change material emulsion with low supercooling and enhanced thermal conductivity," Renewable Energy, Elsevier, vol. 151(C), pages 542-550.
    3. Zhao, C.Y. & Tao, Y.B. & Yu, Y.S., 2022. "Thermal conductivity enhancement of phase change material with charged nanoparticle: A molecular dynamics simulation," Energy, Elsevier, vol. 242(C).
    4. Beyne, W. & T'Jollyn, I. & Lecompte, S. & Cabeza, L.F. & De Paepe, M., 2023. "Standardised methods for the determination of key performance indicators for thermal energy storage heat exchangers," Renewable and Sustainable Energy Reviews, Elsevier, vol. 176(C).
    5. Giro-Paloma, Jessica & Barreneche, Camila & Martínez, Mònica & Šumiga, Boštjan & Cabeza, Luisa F. & Fernández, A. Inés, 2015. "Comparison of phase change slurries: Physicochemical and thermal properties," Energy, Elsevier, vol. 87(C), pages 223-227.
    6. Heier, Johan & Bales, Chris & Martin, Viktoria, 2015. "Combining thermal energy storage with buildings – a review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 42(C), pages 1305-1325.
    7. He, Tianbiao & Chong, Zheng Rong & Zheng, Junjie & Ju, Yonglin & Linga, Praveen, 2019. "LNG cold energy utilization: Prospects and challenges," Energy, Elsevier, vol. 170(C), pages 557-568.
    8. Zhang, Lige & Spatari, Sabrina & Sun, Ying, 2020. "Life cycle assessment of novel heat exchanger for dry cooling of power plants based on encapsulated phase change materials," Applied Energy, Elsevier, vol. 271(C).
    9. Abdelwaheb Trigui & Makki Abdelmouleh, 2023. "Improving the Heat Transfer of Phase Change Composites for Thermal Energy Storage by Adding Copper: Preparation and Thermal Properties," Sustainability, MDPI, vol. 15(3), pages 1-19, January.
    10. Qaderi, Alireza & Veysi, Farzad, 2022. "Investigation of a water-NEPCM cooling thermal management system for cylindrical 18650 Li-ion batteries," Energy, Elsevier, vol. 244(PA).
    11. Joybari, Mahmood Mastani & Seddegh, Saeid & Wang, Xiaolin & Haghighat, Fariborz, 2019. "Experimental investigation of multiple tube heat transfer enhancement in a vertical cylindrical latent heat thermal energy storage system," Renewable Energy, Elsevier, vol. 140(C), pages 234-244.
    12. Madruga, Santiago & Mendoza, Carolina, 2022. "Introducing a new concept for enhanced micro-energy harvesting of thermal fluctuations through the Marangoni effect," Applied Energy, Elsevier, vol. 306(PA).
    13. Meng, Z.N. & Zhang, P., 2017. "Experimental and numerical investigation of a tube-in-tank latent thermal energy storage unit using composite PCM," Applied Energy, Elsevier, vol. 190(C), pages 524-539.
    14. Salunkhe, Pramod B. & Shembekar, Prashant S., 2012. "A review on effect of phase change material encapsulation on the thermal performance of a system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(8), pages 5603-5616.
    15. Giro-Paloma, Jessica & Martínez, Mònica & Cabeza, Luisa F. & Fernández, A. Inés, 2016. "Types, methods, techniques, and applications for microencapsulated phase change materials (MPCM): A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 53(C), pages 1059-1075.
    16. Ran, Fengming & Chen, Yunkang & Cong, Rongshuai & Fang, Guiyin, 2020. "Flow and heat transfer characteristics of microencapsulated phase change slurry in thermal energy systems: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 134(C).
    17. Ma, F. & Zhang, P. & Shi, X.J., 2018. "Investigation of thermo-fluidic performance of phase change material slurry and energy transport characteristics," Applied Energy, Elsevier, vol. 227(C), pages 643-654.
    18. Georg Scharinger-Urschitz & Heimo Walter & Markus Haider, 2019. "Heat Transfer in Latent High-Temperature Thermal Energy Storage Systems—Experimental Investigation," Energies, MDPI, vol. 12(7), pages 1-19, April.
    19. Saiwei Li & Yu Chen & Zhiqiang Sun, 2017. "Numerical Simulation and Optimization of the Melting Process of Phase Change Material inside Horizontal Annulus," Energies, MDPI, vol. 10(9), pages 1-14, August.
    20. Jesus Fernando Hinojosa & Saul Fernando Moreno & Victor Manuel Maytorena, 2023. "Low-Temperature Applications of Phase Change Materials for Energy Storage: A Descriptive Review," Energies, MDPI, vol. 16(7), pages 1-39, March.

    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:gam:jeners:v:12:y:2019:i:5:p:868-:d:211210. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.