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Computational Modeling of Latent Heat Thermal Energy Storage in a Shell-Tube Unit: Using Neural Networks and Anisotropic Metal Foam

Author

Listed:
  • Jana Shafi

    (Department of Computer Science, College of Arts and Science, Prince Sattam Bin Abdul Aziz University, Wadi Ad-Dawasir 11991, Saudi Arabia)

  • Mehdi Ghalambaz

    (Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam)

  • Mehdi Fteiti

    (Physics Department, Faculty of Applied Sciences, Umm Al-Qura University, Makkah 24381, Saudi Arabia)

  • Muneer Ismael

    (Mechanical Engineering Department, Engineering College, University of Basrah, Basrah 61004, Iraq)

  • Mohammad Ghalambaz

    (Laboratory on Convective Heat and Mass Transfer, Tomsk State University, 634045 Tomsk, Russia)

Abstract

Latent heat storage in a shell-tube is a promising method to store excessive solar heat for later use. The shell-tube unit is filled with a phase change material PCM combined with a high porosity anisotropic copper metal foam (FM) of high thermal conductivity. The PCM-MF composite was modeled as an anisotropic porous medium. Then, a two-heat equation mathematical model, a local thermal non-equilibrium approach LTNE, was adopted to consider the effects of the difference between the thermal conductivities of the PCM and the copper foam. The Darcy–Brinkman–Forchheimer formulation was employed to model the natural convection circulations in the molten PCM region. The thermal conductivity and the permeability of the porous medium were a function of an anisotropic angle. The finite element method was employed to integrate the governing equations. A neural network model was successfully applied to learn the transient physical behavior of the storage unit. The neural network was trained using 4998 sample data. Then, the trained neural network was utilized to map the relationship between control parameters and melting behavior to optimize the storage design. The impact of the anisotropic angle and the inlet pressure of heat transfer fluid (HTF) was addressed on the thermal energy storage of the storage unit. Moreover, an artificial neural network was successfully utilized to learn the transient behavior of the thermal storage unit for various combinations of control parameters and map the storage behavior. The results showed that the anisotropy angle significantly affects the energy storage time. The melting volume fraction MVF was maximum for a zero anisotropic angle where the local thermal conductivity was maximum perpendicular to the heated tube. An optimum storage rate could be obtained for an anisotropic angle smaller than 45°. Compared to a uniform MF, utilizing an optimum anisotropic angle could reduce the melting time by about 7% without impacting the unit’s thermal energy storage capacity or adding weight.

Suggested Citation

  • Jana Shafi & Mehdi Ghalambaz & Mehdi Fteiti & Muneer Ismael & Mohammad Ghalambaz, 2022. "Computational Modeling of Latent Heat Thermal Energy Storage in a Shell-Tube Unit: Using Neural Networks and Anisotropic Metal Foam," Mathematics, MDPI, vol. 10(24), pages 1-26, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:24:p:4774-:d:1004562
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    References listed on IDEAS

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    1. Showkat Ahmad Bhat & Nen-Fu Huang & Imtiyaz Hussain & Farzana Bibi & Uzair Sajjad & Muhammad Sultan & Abdullah Saad Alsubaie & Khaled H. Mahmoud, 2021. "On the Classification of a Greenhouse Environment for a Rose Crop Based on AI-Based Surrogate Models," Sustainability, MDPI, vol. 13(21), pages 1-18, November.
    2. Cui, Wei & Si, Tianyu & Li, Xiangxuan & Li, Xinyi & Lu, Lin & Ma, Ting & Wang, Qiuwang, 2022. "Heat transfer enhancement of phase change materials embedded with metal foam for thermal energy storage: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 169(C).
    3. Li, Zhi & Lu, Yiji & Huang, Rui & Chang, Jinwei & Yu, Xiaonan & Jiang, Ruicheng & Yu, Xiaoli & Roskilly, Anthony Paul, 2021. "Applications and technological challenges for heat recovery, storage and utilisation with latent thermal energy storage," Applied Energy, Elsevier, vol. 283(C).
    4. Zhang, Shengqi & Pu, Liang & Mancin, Simone & Dai, Minghao & Xu, Lingling, 2022. "Role of partial and gradient filling strategies of copper foam on latent thermal energy storage: An experimental study," Energy, Elsevier, vol. 255(C).
    5. Buonomo, Bernardo & Manca, Oronzio & Nardini, Sergio & Plomitallo, Renato Elpidio, 2022. "Numerical study on latent heat thermal energy storage system with PCM partially filled with aluminum foam in local thermal equilibrium," Renewable Energy, Elsevier, vol. 195(C), pages 1368-1380.
    6. Ge, Ruihuan & Li, Qi & Li, Chuan & Liu, Qing, 2022. "Evaluation of different melting performance enhancement structures in a shell-and-tube latent heat thermal energy storage system," Renewable Energy, Elsevier, vol. 187(C), pages 829-843.
    7. Zhao, Chunrong & Wang, Jianyong & Sun, Yubiao & He, Suoying & Hooman, Kamel, 2022. "Fin design optimization to enhance PCM melting rate inside a rectangular enclosure," Applied Energy, Elsevier, vol. 321(C).
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