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An improved, generalized effective thermal conductivity method for rapid design of high temperature shell-and-tube latent heat thermal energy storage systems

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  • Mostafavi Tehrani, S. Saeed
  • Shoraka, Yashar
  • Diarce, Gonzalo
  • Taylor, Robert A.

Abstract

To avoid full — expensive — computational fluid dynamic (CFD) simulations, latent heat thermal energy storage (LHTES) systems are often modelled by incorporating natural convection Nusselt correlations. This enables fast, coarse optimizations for phase change materials (PCMs) selection and geometrical design. While this approach is very convenient and often works well, it is frequently invoked in an ad-hoc manner — outside of known limits. To broaden the limits of applicability for this approach, this study develops natural convection Nusselt correlations for high temperature shell-and-tube LHTES systems, which are under development for concentrated solar power (CSP) plants. In these systems there is a large gap between PCM melting point and heat transfer fluid, up to 280 °C, which drives melting process. To date, many correlations that have been developed (for low temperature PCMs) in the literature are only suitable for a specific geometry and/or PCM. Therefore, this study also expands on the literature by providing correlations that are appropriate for a wide range of realistic geometric parameters and high temperature PCMs. These new natural convection Nusselt correlations were obtained by comparing the heat transfer rates in conduction only and combined conduction/convection CFD models for several PCMs and geometries in the melting process. In order to correlate the results, various sets of non-dimensional groups were subjected to a multi-variant regression analyses. The results reveal that the best fitting general Nusselt correlation can be characterized by the Rayleigh number, the Biot number, the Stefan number and the ratio of tube radius to length. The final proposed correlation has a similar shape to literature, NuNC=CRan – however, instead of relying on empirical experimental curve fitting for C and n, this study quantifies C and n for a range of geometries/PCM properties to facilitate early design stage optimizations in the absence of experimental results.

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  • Mostafavi Tehrani, S. Saeed & Shoraka, Yashar & Diarce, Gonzalo & Taylor, Robert A., 2019. "An improved, generalized effective thermal conductivity method for rapid design of high temperature shell-and-tube latent heat thermal energy storage systems," Renewable Energy, Elsevier, vol. 132(C), pages 694-708.
    • Handle: RePEc:eee:renene:v:132:y:2019:i:c:p:694-708
    DOI: 10.1016/j.renene.2018.08.038
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    as
    1. Zhao, Dongliang & Tan, Gang, 2015. "Numerical analysis of a shell-and-tube latent heat storage unit with fins for air-conditioning application," Applied Energy, Elsevier, vol. 138(C), pages 381-392.
    2. Silva, Pedro D. & Gonçalves, L. C. & Pires, L., 2002. "Transient behaviour of a latent-heat thermal-energy store: numerical and experimental studies," Applied Energy, Elsevier, vol. 73(1), pages 83-98, September.
    3. Yang, Zhen & Garimella, Suresh V., 2013. "Cyclic operation of molten-salt thermal energy storage in thermoclines for solar power plants," Applied Energy, Elsevier, vol. 103(C), pages 256-265.
    4. Seddegh, Saeid & Wang, Xiaolin & Henderson, Alan D. & Xing, Ziwen, 2015. "Solar domestic hot water systems using latent heat energy storage medium: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 49(C), pages 517-533.
    5. Agyenim, Francis & Eames, Philip & Smyth, Mervyn, 2010. "Heat transfer enhancement in medium temperature thermal energy storage system using a multitube heat transfer array," Renewable Energy, Elsevier, vol. 35(1), pages 198-207.
    6. Xiao, X. & Zhang, P., 2015. "Numerical and experimental study of heat transfer characteristics of a shell-tube latent heat storage system: Part II – Discharging process," Energy, Elsevier, vol. 80(C), pages 177-189.
    7. Tehrani, S. Saeed Mostafavi & Taylor, Robert A. & Saberi, Pouya & Diarce, Gonzalo, 2016. "Design and feasibility of high temperature shell and tube latent heat thermal energy storage system for solar thermal power plants," Renewable Energy, Elsevier, vol. 96(PA), pages 120-136.
    8. Mostafavi Tehrani, S. Saeed & Shoraka, Yashar & Nithyanandam, Karthik & Taylor, Robert A., 2018. "Cyclic performance of cascaded and multi-layered solid-PCM shell-and-tube thermal energy storage systems: A case study of the 19.9 MWe Gemasolar CSP plant," Applied Energy, Elsevier, vol. 228(C), pages 240-253.
    9. Medrano, Marc & Gil, Antoni & Martorell, Ingrid & Potau, Xavi & Cabeza, Luisa F., 2010. "State of the art on high-temperature thermal energy storage for power generation. Part 2--Case studies," Renewable and Sustainable Energy Reviews, Elsevier, vol. 14(1), pages 56-72, January.
    10. Tao, Y.B. & Carey, V.P., 2016. "Effects of PCM thermophysical properties on thermal storage performance of a shell-and-tube latent heat storage unit," Applied Energy, Elsevier, vol. 179(C), pages 203-210.
    11. 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.
    12. Nithyanandam, K. & Pitchumani, R., 2014. "Cost and performance analysis of concentrating solar power systems with integrated latent thermal energy storage," Energy, Elsevier, vol. 64(C), pages 793-810.
    13. Longeon, Martin & Soupart, Adèle & Fourmigué, Jean-François & Bruch, Arnaud & Marty, Philippe, 2013. "Experimental and numerical study of annular PCM storage in the presence of natural convection," Applied Energy, Elsevier, vol. 112(C), pages 175-184.
    14. Liu, Ming & Steven Tay, N.H. & Bell, Stuart & Belusko, Martin & Jacob, Rhys & Will, Geoffrey & Saman, Wasim & Bruno, Frank, 2016. "Review on concentrating solar power plants and new developments in high temperature thermal energy storage technologies," Renewable and Sustainable Energy Reviews, Elsevier, vol. 53(C), pages 1411-1432.
    15. Nithyanandam, K. & Pitchumani, R. & Mathur, A., 2014. "Analysis of a latent thermocline storage system with encapsulated phase change materials for concentrating solar power," Applied Energy, Elsevier, vol. 113(C), pages 1446-1460.
    16. Al-abidi, Abduljalil A. & Bin Mat, Sohif & Sopian, K. & Sulaiman, M.Y. & Mohammed, Abdulrahman Th., 2013. "CFD applications for latent heat thermal energy storage: a review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 20(C), pages 353-363.
    17. Peng, Qiang & Yang, Xiaoxi & Ding, Jing & Wei, Xiaolan & Yang, Jianping, 2013. "Design of new molten salt thermal energy storage material for solar thermal power plant," Applied Energy, Elsevier, vol. 112(C), pages 682-689.
    18. Fornarelli, F. & Camporeale, S.M. & Fortunato, B. & Torresi, M. & Oresta, P. & Magliocchetti, L. & Miliozzi, A. & Santo, G., 2016. "CFD analysis of melting process in a shell-and-tube latent heat storage for concentrated solar power plants," Applied Energy, Elsevier, vol. 164(C), pages 711-722.
    19. Wang, Wei-Wei & Wang, Liang-Bi & He, Ya-Ling, 2015. "The energy efficiency ratio of heat storage in one shell-and-one tube phase change thermal energy storage unit," Applied Energy, Elsevier, vol. 138(C), pages 169-182.
    20. Li, Qiyuan & Tehrani, S. Saeed Mostafavi & Taylor, Robert A., 2017. "Techno-economic analysis of a concentrating solar collector with built-in shell and tube latent heat thermal energy storage," Energy, Elsevier, vol. 121(C), pages 220-237.
    21. Nithyanandam, K. & Pitchumani, R., 2014. "Design of a latent thermal energy storage system with embedded heat pipes," Applied Energy, Elsevier, vol. 126(C), pages 266-280.
    22. Tao, Y.B. & He, Y.L., 2011. "Numerical study on thermal energy storage performance of phase change material under non-steady-state inlet boundary," Applied Energy, Elsevier, vol. 88(11), pages 4172-4179.
    23. Xiao, X. & Zhang, P., 2015. "Numerical and experimental study of heat transfer characteristics of a shell-tube latent heat storage system: Part I – Charging process," Energy, Elsevier, vol. 79(C), pages 337-350.
    24. Liu, Zhenyu & Yao, Yuanpeng & Wu, Huiying, 2013. "Numerical modeling for solid–liquid phase change phenomena in porous media: Shell-and-tube type latent heat thermal energy storage," Applied Energy, Elsevier, vol. 112(C), pages 1222-1232.
    25. Mostafavi Tehrani, S. Saeed & Taylor, Robert A., 2016. "Off-design simulation and performance of molten salt cavity receivers in solar tower plants under realistic operational modes and control strategies," Applied Energy, Elsevier, vol. 179(C), pages 698-715.
    26. 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.
    27. Gil, Antoni & Medrano, Marc & Martorell, Ingrid & Lázaro, Ana & Dolado, Pablo & Zalba, Belén & Cabeza, Luisa F., 2010. "State of the art on high temperature thermal energy storage for power generation. Part 1--Concepts, materials and modellization," Renewable and Sustainable Energy Reviews, Elsevier, vol. 14(1), pages 31-55, January.
    28. Tao, Y.B. & He, Y.L., 2015. "Effects of natural convection on latent heat storage performance of salt in a horizontal concentric tube," Applied Energy, Elsevier, vol. 143(C), pages 38-46.
    29. Jacob, Rhys & Belusko, Martin & Inés Fernández, A. & Cabeza, Luisa F. & Saman, Wasim & Bruno, Frank, 2016. "Embodied energy and cost of high temperature thermal energy storage systems for use with concentrated solar power plants," Applied Energy, Elsevier, vol. 180(C), pages 586-597.
    30. Bechiri, Mohammed & Mansouri, Kacem, 2015. "Analytical solution of heat transfer in a shell-and-tube latent thermal energy storage system," Renewable Energy, Elsevier, vol. 74(C), pages 825-838.
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    3. Liu, Ming & Riahi, Soheila & Jacob, Rhys & Belusko, Martin & Bruno, Frank, 2020. "Design of sensible and latent heat thermal energy storage systems for concentrated solar power plants: Thermal performance analysis," Renewable Energy, Elsevier, vol. 151(C), pages 1286-1297.
    4. Zhu, Ming & Nan, Wenguang & Wang, Yueshe, 2023. "Analysis on the thermal behaviour of the latent heat storage system using S-CO2 and H-PCM," Renewable Energy, Elsevier, vol. 208(C), pages 240-250.
    5. Mostafavi Tehrani, S. Saeed & Shoraka, Yashar & Nithyanandam, Karthik & Taylor, Robert A., 2019. "Shell-and-tube or packed bed thermal energy storage systems integrated with a concentrated solar power: A techno-economic comparison of sensible and latent heat systems," Applied Energy, Elsevier, vol. 238(C), pages 887-910.
    6. Beust, Clément & Franquet, Erwin & Bédécarrats, Jean-Pierre & Garcia, Pierre, 2020. "Predictive approach of heat transfer for the modelling of large-scale latent heat storages," Renewable Energy, Elsevier, vol. 157(C), pages 502-514.

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