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Thermal Analysis of Solid/Liquid Phase Change in a Cavity with One Wall at Periodic Temperature

Author

Listed:
  • Shogo Tomita

    (Mechanical Engineering Department, Graduate School of Integrated Science and Technology, Shizuoka University, Hamamatsu 432-8561, Japan)

  • Hasan Celik

    (Mechanical Engineering Department, Izmir University of Economics, 35330 Izmir, Turkey)

  • Moghtada Mobedi

    (Mechanical Engineering Department, Graduate School of Integrated Science and Technology, Shizuoka University, Hamamatsu 432-8561, Japan)

Abstract

In this study, heat transfer in a square cavity filled with a Phase Change Material (PCM) under a sinusoidal wall temperature during solidification and melting is analyzed. All surfaces of the cavity are insulated except one surface, which is under the sinusoidal temperature change. The governing equations and boundary conditions are made dimensionless to reduce the number of governing parameters into two as dimensionless frequency and Stefan number. The governing equations were solved numerically by using Finite Volume Method for a wide range of Stefan number (0.1 < Ste < 1.0) and dimensionless frequency (0.23 < ω * < 2.04). Based on the obtained results, a chart in terms of Stefan number and dimensionless frequency is obtained to divide the heat transfer process in the cavity into three regions as uncompleted, completed, and overheated phase-change processes. For the uncompleted process, some parts of the cavity are inactive, and no phase change occurs in those parts of the cavity during the melting and freezing process. For the overheated phase change, the temperature of the cavity highly increases (or decreases), causing the sensible heat storage to compete with latent thermal storage. In the completed process, almost all thermal storage is done by the utilization of latent heat. The suggested graph helps thermal designers to avoid wrong designs and predict the type of thermal storage (sensible or latent) in the cavity without doing any computations.

Suggested Citation

  • Shogo Tomita & Hasan Celik & Moghtada Mobedi, 2021. "Thermal Analysis of Solid/Liquid Phase Change in a Cavity with One Wall at Periodic Temperature," Energies, MDPI, vol. 14(18), pages 1-18, September.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:18:p:5957-:d:639244
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    References listed on IDEAS

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    1. Agnieszka Ochman & Wei-Qin Chen & Przemysław Błasiak & Michał Pomorski & Sławomir Pietrowicz, 2021. "The Use of Capsuled Paraffin Wax in Low-Temperature Thermal Energy Storage Applications: An Experimental and Numerical Investigation," Energies, MDPI, vol. 14(3), pages 1-27, January.
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    4. Nadezhda S. Bondareva & Mohammad Ghalambaz & Mikhail A. Sheremet, 2021. "Influence of the Fin Shape on Heat Transport in Phase Change Material Heat Sink with Constant Heat Loads," Energies, MDPI, vol. 14(5), pages 1-15, March.
    5. Taler, Dawid & Dzierwa, Piotr & Trojan, Marcin & Sacharczuk, Jacek & Kaczmarski, Karol & Taler, Jan, 2019. "Mathematical modeling of heat storage unit for air heating of the building," Renewable Energy, Elsevier, vol. 141(C), pages 988-1004.
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    Cited by:

    1. Xu, Xiangtian & Li, Gaosheng & Zhao, Yuqin & Liu, Tiejun, 2023. "Analytical solutions for heat conduction problems with three kinds of periodic boundary conditions and their applications," Applied Mathematics and Computation, Elsevier, vol. 442(C).
    2. Kun He & Lei Wang & Jiangxu Huang, 2021. "Electrohydrodynamic Enhancement of Phase Change Material Melting in Circular-Elliptical Annuli," Energies, MDPI, vol. 14(23), pages 1-20, December.

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