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Approximate analytical model for two-phase solidification problem in a finned phase-change material storage

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  • Lamberg, Piia

Abstract

During the phase change in a phase-change material (PCM) storage system, the solid-liquid interface moves away from the heat transfer surface and the surface heat flux decreases due to the increasing thermal resistance of the molten or solidified medium. Heat-transfer enhancement techniques such as fins and honeycombs have to be used to increase the heat-transfer fraction in the store. The purpose of this paper is to develop a simplified analytical model which predicts the solid-liquid interface location and temperature distribution of the fin in the solidification process with a constant end-wall temperature in the finned two-dimensional PCM store. The storage is initially in a liquid state and its temperature is greater than the solidification temperature of the PCM. The analytical results are compared to the numerical results calculated using the heat-capacity method. The results show that the analytical model gives a satisfactory estimation for the fin temperature and the solid-liquid interface when the length-to-height ratio ([lambda]) of the storage cell is smaller than 6.0 and the fin length is smaller than 0.06 m. The error made in the fraction of solidified PCM is ±10% when the analytical model is used rather than the two-dimensional numerical model.

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  • Lamberg, Piia, 2004. "Approximate analytical model for two-phase solidification problem in a finned phase-change material storage," Applied Energy, Elsevier, vol. 77(2), pages 131-152, February.
    • Handle: RePEc:eee:appene:v:77:y:2004:i:2:p:131-152
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    1. Dutil, Yvan & Rousse, Daniel R. & Salah, Nizar Ben & Lassue, Stéphane & Zalewski, Laurent, 2011. "A review on phase-change materials: Mathematical modeling and simulations," Renewable and Sustainable Energy Reviews, Elsevier, vol. 15(1), pages 112-130, January.
    2. Campos-Celador, A. & Diarce, G. & González-Pino, I. & Sala, J.M., 2013. "Development and comparative analysis of the modeling of an innovative finned-plate latent heat thermal energy storage system," Energy, Elsevier, vol. 58(C), pages 438-447.
    3. Colella, Francesco & Sciacovelli, Adriano & Verda, Vittorio, 2012. "Numerical analysis of a medium scale latent energy storage unit for district heating systems," Energy, Elsevier, vol. 45(1), pages 397-406.
    4. Saulius Pakalka & Kęstutis Valančius & Giedrė Streckienė, 2021. "Experimental and Theoretical Investigation of the Natural Convection Heat Transfer Coefficient in Phase Change Material (PCM) Based Fin-and-Tube Heat Exchanger," Energies, MDPI, vol. 14(3), pages 1-14, January.
    5. Borreguero, Ana M. & Luz Sánchez, M. & Valverde, José Luis & Carmona, Manuel & Rodríguez, Juan F., 2011. "Thermal testing and numerical simulation of gypsum wallboards incorporated with different PCMs content," Applied Energy, Elsevier, vol. 88(3), pages 930-937, March.
    6. Naghavi, M.S. & Ong, K.S. & Badruddin, I.A. & Mehrali, M. & Silakhori, M. & Metselaar, H.S.C., 2015. "Theoretical model of an evacuated tube heat pipe solar collector integrated with phase change material," Energy, Elsevier, vol. 91(C), pages 911-924.
    7. Yang, Jieren & Chen, Ruirun & Su, Yanqing & Ding, Hongsheng & Guo, Jingjie & Fu, Hengzhi, 2018. "Optimization of electromagnetic energy in cold crucible used for directional solidification of TiAl alloy," Energy, Elsevier, vol. 161(C), pages 143-155.
    8. Agyenim, Francis & Hewitt, Neil & Eames, Philip & Smyth, Mervyn, 2010. "A review of materials, heat transfer and phase change problem formulation for latent heat thermal energy storage systems (LHTESS)," Renewable and Sustainable Energy Reviews, Elsevier, vol. 14(2), pages 615-628, February.
    9. Pitié, F. & Zhao, C.Y. & Baeyens, J. & Degrève, J. & Zhang, H.L., 2013. "Circulating fluidized bed heat recovery/storage and its potential to use coated phase-change-material (PCM) particles," Applied Energy, Elsevier, vol. 109(C), pages 505-513.
    10. Chiu, Justin N.W. & Martin, Viktoria, 2012. "Submerged finned heat exchanger latent heat storage design and its experimental verification," Applied Energy, Elsevier, vol. 93(C), pages 507-516.
    11. Wickramaratne, Chatura & Dhau, Jaspreet S. & Kamal, Rajeev & Myers, Philip & Goswami, D.Y. & Stefanakos, E., 2018. "Macro-encapsulation and characterization of chloride based inorganic Phase change materials for high temperature thermal energy storage systems," Applied Energy, Elsevier, vol. 221(C), pages 587-596.
    12. Jegadheeswaran, S. & Pohekar, Sanjay D., 2009. "Performance enhancement in latent heat thermal storage system: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 13(9), pages 2225-2244, December.
    13. Bazri, Shahab & Badruddin, Irfan Anjum & Naghavi, Mohammad Sajad & Bahiraei, Mehdi, 2018. "A review of numerical studies on solar collectors integrated with latent heat storage systems employing fins or nanoparticles," Renewable Energy, Elsevier, vol. 118(C), pages 761-778.
    14. Cárdenas, Bruno & León, Noel, 2013. "High temperature latent heat thermal energy storage: Phase change materials, design considerations and performance enhancement techniques," Renewable and Sustainable Energy Reviews, Elsevier, vol. 27(C), pages 724-737.
    15. Myers, Philip D. & Alam, Tanvir E. & Kamal, Rajeev & Goswami, D.Y. & Stefanakos, E., 2016. "Nitrate salts doped with CuO nanoparticles for thermal energy storage with improved heat transfer," Applied Energy, Elsevier, vol. 165(C), pages 225-233.
    16. Yang, Moucun & Moghimi, M.A. & Loillier, R. & Markides, C.N. & Kadivar, M., 2023. "Design of a latent heat thermal energy storage system under simultaneous charging and discharging for solar domestic hot water applications," Applied Energy, Elsevier, vol. 336(C).

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