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Analytical solution of heat transfer in a shell-and-tube latent thermal energy storage system

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  • Bechiri, Mohammed
  • Mansouri, Kacem

Abstract

An analytical solution of a latent heat storage unit (LHSU) consisting of a shell-and tube was obtained by using the Exponential Integral Function and the variables separation technique. The working fluid (water) circulating by forced convection inside the inner tube charges and discharges the storage unit. The comparison between analytical predictions and experimental data shows good agreement. Extensive parametric studies were conducted in order to examine the effect of the pertinent parameters (such as natural convection, mass flow rate of HTF, outer tube radius, pipe length etc.) on the melting and solidification processes of paraffin as a PCM. In order to provide guidelines for system performance and design optimisation, unsteady temperature distributions within PCM during melting/solidification, energy stored, position of moving interface and thermal efficiency have been obtained by a series of numerical calculations and represented graphically.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:renene:v:74:y:2015:i:c:p:825-838
    DOI: 10.1016/j.renene.2014.09.010
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    References listed on IDEAS

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    1. 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.
    2. Sharma, Atul & Won, Lee Dong & Buddhi, D & Park, Jun Un, 2005. "Numerical heat transfer studies of the fatty acids for different heat exchanger materials on the performance of a latent heat storage system," Renewable Energy, Elsevier, vol. 30(14), pages 2179-2187.
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    3. 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.
    4. Gasia, Jaume & Diriken, Jan & Bourke, Malcolm & Van Bael, Johan & Cabeza, Luisa F., 2017. "Comparative study of the thermal performance of four different shell-and-tube heat exchangers used as latent heat thermal energy storage systems," Renewable Energy, Elsevier, vol. 114(PB), pages 934-944.
    5. 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.
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