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The melting process of storage materials with relatively high phase change temperatures in partially filled spherical shells

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  • Archibold, Antonio Ramos
  • Gonzalez-Aguilar, José
  • Rahman, Muhammad M.
  • Yogi Goswami, D.
  • Romero, Manuel
  • Stefanakos, Elias K.

Abstract

A two dimensional axisymmetric model of the heat transfer and fluid flow during the melting process inside a spherical latent heat thermal storage capsule is analyzed. A void space was provided within the capsule to take into account the volumetric expansion of the PCM. The mathematical model was solved using the finite-volume method, and the enthalpy-porosity formulation was employed to solve the energy equations in both the liquid and solid regions of the PCM. The effects of the Grashof and Stefan numbers on the thermal performance of the capsules of various diameters (20, 30, 40 and 50mm) have been investigated. It was found that increasing the Grashof number from 1.32×104 to 2. 06×105 enhances the heat transfer. Also for a constant Grashof number (9.09×104) the PCM melts at a faster rate when the Stefan number increases from 0.077 to 0.097. Finally, appropriate dimensionless variables based on a combination of the Fourier, Grashof and Stefan numbers are introduced in order to obtain a generalized correlation for the liquid mass fraction and the Nusselt number during melting of sodium nitrate.

Suggested Citation

  • Archibold, Antonio Ramos & Gonzalez-Aguilar, José & Rahman, Muhammad M. & Yogi Goswami, D. & Romero, Manuel & Stefanakos, Elias K., 2014. "The melting process of storage materials with relatively high phase change temperatures in partially filled spherical shells," Applied Energy, Elsevier, vol. 116(C), pages 243-252.
    • Handle: RePEc:eee:appene:v:116:y:2014:i:c:p:243-252
    DOI: 10.1016/j.apenergy.2013.11.048
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    References listed on IDEAS

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    4. Castell, A. & Solé, C., 2015. "An overview on design methodologies for liquid–solid PCM storage systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 52(C), pages 289-307.
    5. Gasia, Jaume & Miró, Laia & Cabeza, Luisa F., 2017. "Review on system and materials requirements for high temperature thermal energy storage. Part 1: General requirements," Renewable and Sustainable Energy Reviews, Elsevier, vol. 75(C), pages 1320-1338.
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    7. Solomon, Laura & Elmozughi, Ali F. & Oztekin, Alparslan & Neti, Sudhakar, 2015. "Effect of internal void placement on the heat transfer performance – Encapsulated phase change material for energy storage," Renewable Energy, Elsevier, vol. 78(C), pages 438-447.
    8. Xun Yang & Teng Xiong & Jing Liang Dong & Wen Xin Li & Yong Wang, 2017. "Investigation of the Dynamic Melting Process in a Thermal Energy Storage Unit Using a Helical Coil Heat Exchanger," Energies, MDPI, vol. 10(8), pages 1-18, August.
    9. Zhao, Y. & Zhao, C.Y. & Markides, C.N. & Wang, H. & Li, W., 2020. "Medium- and high-temperature latent and thermochemical heat storage using metals and metallic compounds as heat storage media: A technical review," Applied Energy, Elsevier, vol. 280(C).
    10. Gimenez-Gavarrell, Pau & Fereres, Sonia, 2017. "Glass encapsulated phase change materials for high temperature thermal energy storage," Renewable Energy, Elsevier, vol. 107(C), pages 497-507.
    11. Kawaguchi, Takahiro & Sakai, Hiroki & Sheng, Nan & Kurniawan, Ade & Nomura, Takahiro, 2020. "Microencapsulation of Zn-Al alloy as a new phase change material for middle-high-temperature thermal energy storage applications," Applied Energy, Elsevier, vol. 276(C).
    12. Archibold, Antonio Ramos & Rahman, Muhammad M. & Yogi Goswami, D. & Stefanakos, Elias K., 2015. "The effects of radiative heat transfer during the melting process of a high temperature phase change material confined in a spherical shell," Applied Energy, Elsevier, vol. 138(C), pages 675-684.
    13. Soni, Vikram & Kumar, Arvind & Jain, V.K., 2018. "Modeling of PCM melting: Analysis of discrepancy between numerical and experimental results and energy storage performance," Energy, Elsevier, vol. 150(C), pages 190-204.
    14. Li, Xinyi & Niu, Cong & Li, Xiangxuan & Ma, Ting & Lu, Lin & Wang, Qiuwang, 2020. "Pore-scale investigation on effects of void cavity distribution on melting of composite phase change materials," Applied Energy, Elsevier, vol. 275(C).
    15. Zeneli, M. & Malgarinos, I. & Nikolopoulos, A. & Nikolopoulos, N. & Grammelis, P. & Karellas, S. & Kakaras, E., 2019. "Numerical simulation of a silicon-based latent heat thermal energy storage system operating at ultra-high temperatures," Applied Energy, Elsevier, vol. 242(C), pages 837-853.
    16. Amin, N.A.M. & Bruno, F. & Belusko, M., 2014. "Effective thermal conductivity for melting in PCM encapsulated in a sphere," Applied Energy, Elsevier, vol. 122(C), pages 280-287.
    17. Zhu, Yanlong & Lu, Jie & Yuan, Yuan & Wang, Fuqiang & Tan, Heping, 2020. "Effect of radiation on the effective thermal conductivity of encapsulated capsules containing high-temperature phase change materials," Renewable Energy, Elsevier, vol. 160(C), pages 676-685.
    18. Lin, Yaxue & Alva, Guruprasad & Fang, Guiyin, 2018. "Review on thermal performances and applications of thermal energy storage systems with inorganic phase change materials," Energy, Elsevier, vol. 165(PA), pages 685-708.
    19. Ma, Bingqian & Li, Jianqiang & Xu, Zhe & Peng, Zhijian, 2014. "Fe-shell/Cu-core encapsulated metallic phase change materials prepared by aerodynamic levitation method," Applied Energy, Elsevier, vol. 132(C), pages 568-574.
    20. Alam, Tanvir E. & Dhau, Jaspreet S. & Goswami, D. Yogi & Stefanakos, Elias, 2015. "Macroencapsulation and characterization of phase change materials for latent heat thermal energy storage systems," Applied Energy, Elsevier, vol. 154(C), pages 92-101.

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