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Heat Transfer Research
Impact-faktor: 1.199 5-jähriger Impact-Faktor: 1.155 SJR: 0.267 SNIP: 0.503 CiteScore™: 1.4

ISSN Druckformat: 1064-2285
ISSN Online: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2019027218
pages 517-535


Kunal Bhagat
Department of Mechanical Engineering, Indian Institute of Technology Bombay, Mumbai-400076, India
Sandip Kumar Saha
Department of Mechanical Engineering, Indian Institute of Technology, Bombay, Powai, Mumbai – 400076. Maharashtra, India


A latent heat thermal energy storage system (LHTES) has a potential to improve the load stability by mitigating the fluctuations encountered in concentrated solar thermal power plants. In this paper, heat transfer analysis of LHTES during the discharging period is studied by estimating pressure losses, first-law efficiency, and temporal variation of entropy generation. The LHTES considered in this study is of packed bed type where a phase change material (PCM) is encapsulated in a spherical shell, which forms the solid portion, and heat transfer fluid (HTF) flows through a porous zone in a packed bed. The numerical model considered is two-dimensional axisymmetric, which takes into consideration the mass, momentum, and energy conservation equations in a porous medium. Heat transfer between HTF and PCM is modeled using two-temperature equations coupled with an enthalpy-porosity technique to analyze the isothermal phase change behavior during solidification of PCM. The numerical model is first validated with the published experimental results. The effects of several parameters, such as porosity, inner encapsulation diameter, encapsulation shell thickness, and encapsulation shell material are further studied. It is found that the LHTES produces more entropy due to the internal diffusion process, which is prominent in the system with a large coefficient of overall volumetric heat transfer between HTF and PCM. The first-law efficiency of discharging is affected significantly by porosity rather than by any other parameter considered in the study.


  1. Adebiyi, G.A., A Second-Law Study on Packed Bed Energy Storage Systems Utilizing Phase-Change Materials, J. Sol. Eng. ASME, vol. 113, pp. 146-156, 1991.

  2. Agyenim, F., Eames, P., and Smyth, M., Heat Transfer Enhancement in Medium Temperature Thermal Energy Storage System Using a Multitube Heat Transfer Array, Renew. Energy, vol. 35, pp. 198-207, 2010.

  3. Akhilesh, R., Narasimhan, A., and Balaji, C., Method to Improve Geometry for Heat Transfer Enhancement in PCM Composite Heat Sinks, Int. J. Heat Mass Transf, vol. 48, pp. 2759-2770, 2005.

  4. Amin, N., Mohamad, A., Abdul Majid, M., Afendi, M., Bruno, F., and Belusko, M., Experimental Investigation of PCM Spheres in Thermal Energy Storage System, Appl. Mech. Mater., vol. 367, pp. 228-233, 2013.

  5. Archibold, A., Rahman, M., Aguilar, J., Goswami, D., Stefanakos, E., and Romero, M., Phase Change and Heat Transfer Numerical Analysis during Solidification on an Encapsulated Phase Change Material, Energy Procedia, vol. 57, pp. 653-661, 2014.

  6. Asker, M., Ganjehsarabi, H., and Coban, M.T., Numerical Investigation of Inward Solidification inside Spherical Capsule by Using Temperature Transforming Method, Ain Shams Eng. J., vol. 9, pp. 537-547, 2018.

  7. Assis, E., Ziskind, G., and Letan, R., Numerical and Experimental Study of SolfiliationinaSphericalShell, J. Heat Transf. ASME, vol. 131, pp. 1-5, 2009.

  8. Beasley, D.E. and Clark, J.A., Transient Response of a Packed Bed for Thermal Energy Storage, Int. J. Heat Mass Transf., vol. 27, pp. 1659-1669, 1984.

  9. Bejan, A., Entropy Generation Minimization: The Method of Thermodynamic Optimization of Finite-Size Systems and Finite-Time Processes, Boca Raton, FL: CRC Press, 1995.

  10. Bellan, S., Alam, T., Aguilar, J., Romero, M., Rahman, M., Goswami, D., and Stefanakos, E., Numerical and Experimental Studies on Heat Transfer Characteristics of Thermal Energy Storage System Packed with Molten Salt PCM Capsules, Appl. Therm. Eng., vol. 90, pp. 970-979, 2015.

  11. Benmansour, A., Hamdan, M., and Bengeuddach, A., Experimental and Numerical Investigation of Solid Particles Thermal Energy Storage Unit, Appl. Therm. Eng., vol. 26, pp. 513-518, 2006.

  12. Bhagat, K. and Saha, S.K., Numerical Analysis of Latent Heat Thermal Energy Storage Using Encapsulated Phase Change Material for Solar Thermal Power Plant, Renew. Energy, vol. 95, pp. 323-336, 2016.

  13. Boerema, N., Morrison, G., Taylor, R., and Rosengarten, G., Liquid Sodium versus HITEC as a Heat Transfer Fluid in Solar Thermal Central Receiver Systems, Sol. Energy, vol. 86, pp. 2293-2305, 2012.

  14. Brent, D., Voller, V.R., and Reid, K.J., Enthalpy-Porosity Technique for Modeling Convection-Diffusion Phase Change: Application to the Melting of a Pure Metal, Numer. Heat. Transf.., vol. 13, pp. 297-318, 1988.

  15. Bugaje, M., Enhancing the Thermal Response of Latent Heat Storage Systems, Int. J. Energy Res., vol. 21, pp. 759-766, 1997.

  16. Cabeza, L.F., Sole, C., Castell, A., Oro, E., and Gil, A., Review of Solar Thermal Storage Techniques and Associated Heat Transfer Technologies, Proc. IEEE, vol. 100, pp. 525-538, 2012.

  17. Chow, L., Zhong, J., and Beam, J., Thermal Conductivity Enhancement for Phase Change Storage Media, Int. Commun. Heat Mass Transf., vol. 23, pp. 91-100, 1996.

  18. Eftekhar, J., Sheikh, A., and Lou, D., Heat Transfer Enhancement in a Paraffin Wax Thermal Storage System, J. Sol. Energy Eng., vol. 106, pp. 299-306, 1984.

  19. Emerson, J., Micah, H., and Panneer, S., Concrete as a Thermal Energy Storage Medium for Thermocline Solar Energy Storage Systems, Sol. Energy, vol. 96, pp. 194-204, 2013.

  20. Erk, H. and Dudukovic, M., Phase Change Heat Regenerators. Modeling and Experimental Studies, AIChE J., vol. 42, pp. 791-808, 1996.

  21. Flueckiger, S. and Garimella, S.V., Latent Heat Augmentation of Thermocline Energy Storage, Appl. Energy, vol. 116, pp. 278-287, 2014.

  22. Flueckiger, S. and Garimella, S.V., Second-Law Analysis of Molten-Salt Thermal Energy Storage in Thermoclines, Sol. Energy, vol. 86, pp. 1621-1631, 2012.

  23. Fukai, J., Kanou, M., Kodama, Y., and Miyatake, O., Thermal Conductivity Enhancement of Energy Storage Media Using Carbon Fibers, Energy Convers. Manage., vol. 41, pp. 1543-1556, 2000.

  24. Ismail, K., Alves, C., and Modesto, M., Numerical and Experimental Study on the Solidification of PCM around a Vertical Axially Finned Isothermal Cylinder, Appl. Therm. Eng., vol. 21, pp. 53-77, 2001.

  25. Ismail, K. and Henriquez, J.R., Numerical and Experimental Study of Spherical Capsules Packed Bed Latent Heat Storage System, Int. J. Therm. Sci., vol. 42, pp. 881-887, 2003.

  26. Izquierdo-Barrientos, M., Sobrino, C., and Almendros-Ibanez, J., Thermal Energy Storage in a Fluidized Bed of PCM, Chem. Eng. J., vol. 230, pp. 573-583, 2013.

  27. Koca, A., Octopi, H.F., Koyun, T., and Varol, Y., Energy and Exergy Analysis of a Latent Heat Storage System with Phase Change Material for a Solar Collector, Renew. Energy, vol. 33, pp. 567-574, 2008.

  28. Kousksou, T., Strub, F., Lasvignottes, J.C., Jamil, A., and Bedecarrats, J.P., Second Law Analysis of Latent Thermal Storage for Solar System, Renew. Energy, vol. 91, pp. 1275-1281, 2007.

  29. Lenert, A., Nam, Y., Yilbas, B., and Wang, E., Focusing of Phase Change Microparticles for Local Heat Transfer Enhancement in Laminar Flows, Int. J. Heat Mass Transf., vol. 56, pp. 380-389, 2013.

  30. Li, Y.Q., He, Y.L., Wang, Z.F., Xu, C., and Wang, W., Exergy Analysis of Two-Phase Change Materials Storage System for Solar Thermal Power with Finite-Time Thermodynamics, Renew. Energy, vol. 39, pp. 447-454, 2012.

  31. MacPhee, D., Dincer, I., and Beyene, A., Numerical Simulation and Exergetic Performance Assessment of Charging Process in Encapsulated Ice Thermal Energy Storage System, Energy, vol. 41, pp. 491-498, 2012.

  32. Mesalhy, O., Lafdi, K., Elgafy, A., and Bowman, K., Numerical Study for Enhancing the Thermal Conductivity of Phase Change Material (PCM) Storage Using High Thermal Conductivity Porous Matrix, Energy Convers. Manage., vol. 46, pp. 847-867, 2005.

  33. Mettawee, E.S. and Assassa, G.M.R., Thermal Conductivity Enhancement in a Latent Heat Storage System, Sol. Energy, vol. 81, pp. 839-845, 2007.

  34. Milisic, E., Modeling of Energy Storage Using Phase-Change Materials (PCM Materials), Masters, Norwegian University of Science and Technology, 2013.

  35. Mosaffa, A., Talati, F., Tabrizi, H., and Rosen, M., Analytical Modeling of PCM Solidification in a Shell and Tube Finned Thermal Storage for Air Conditioning Systems, Energy Build., vol. 49, pp. 356-361, 2012.

  36. Nithyanandam, K. and Pitchumani, R., Optimization of an Encapsulated Phase Change Material Thermal Energy Storage System, Sol. Energy, vol. 107, pp. 770-788, 2014.

  37. Pizzolato, A., Sciacovelli, A., and Verda, V., Transient Local Entropy Generation Analysis for the Design Improvement of a Thermocline Thermal Energy Storage, Appl. Therm. Eng., vol. 101, pp. 622-629, 2016.

  38. Py, X., Olives, R., and Mauran, S., Paraffin/Porous-Graphite-Matrix Composite as a High and Constant Power Thermal Storage Material, Int. J. Heat Mass Transf, vol. 44, pp. 2727-2737, 2001.

  39. Qin, F., Yang, X., Ding, Z., Zuo, Z., Shao, Y., Jiang, R., and Yang, X., Thermocline Stability Criterions in Single-Tanks of Molten Salt Thermal Energy Storage, Appl. Energy, vol. 97, pp. 816-821, 2012.

  40. Rosen, M.A., Hopper, F.C., and Barbaris, L.N., Exergy Analysis for the Evaluation of the Performance of Closed Thermal Energy Storage Systems, J. Sol. Eng. ASME, vol. 110, pp. 255-261, 1988.

  41. Salunkhe, P. and Shembekar, P., A Review on Effect of Phase Change Material Encapsulation on the Thermal Performance of a System, Renew. Sustain. Energy Rev., vol. 16, pp. 5603-5616, 2012.

  42. Sari, A. and Karaipekli, A., Thermal Conductivity and Latent Heat Thermal Energy Storage Characteristics of Paraffin/Expanded Graphite Composite as Phase Change Material, Appl. Therm. Eng., vol. 27, pp. 1271-1277, 2007.

  43. Schumann, T., Heat Transfer: A Liquid Flowing through a Porous Prism, J. Franklin Inst., vol. 208, pp. 405-416, 1929.

  44. Sciacovelli, A. and Verda, V., Second-Law Design of a Latent Heat Thermal Energy Storage with Branched Fins, Int. J. Numer. Meth. Heat Fluid Flow, vol. 26, 489-503, 2016.

  45. Seyf, H., Zhou, Z., Ma, H., and Zhang, Y., Three-Dimensional Numerical Study of Heat-Transfer Enhancement by Nano-En-capsulated Phase Change Material Slurry in Microtube Heat Sinks with Tangential Impingement, Int. J. Heat Mass Transf., vol. 56, pp. 561-573, 2013.

  46. Shinde, A., Arpit, S., Pramod, K.M., Rao, P.V.C., and Saha, S.K., Heat Transfer Characterization and Optimization of Latent Heat Thermal Storage System Using Fins for Medium Temperature, J. Sol. Energy Eng. ASME, vol. 139, p. 031003, 2017.

  47. Shitzer, A. and Levy, M., Transient Behavior of a Rock-Bed Thermal Storage System Subjected to Variable Inlet Air Temperatures: Analysis and Experimentation, J. Sol. Energy Eng. ASME, vol. 105, pp. 200-206, 1983.

  48. Sigel, R., Solidification of Low Conductivity Material Containing Dispersed High Conductivity Particles, Int. J. Heat Mass Transf., vol. 20, pp. 1087-1089, 1977.

  49. Solomon, L. and Oztekin, A., Exergy Analysis of Cascaded Encapsulated Phase Change Material High-Temperature Thermal Energy Storage Systems, J. Energy Storage, vol. 8, pp. 12-26, 2016.

  50. Tong, X., Khan, J., and Amin, M., Enhancement of Heat Transfer by Inserting a Metal Matrix into a Phase Change Material, Numer. Heat Transf., vol. 30, pp. 125-141, 1996.

  51. Vafai, K., Convective Flow and Heat Transfer in Variable-Porosity Media, J. Fluid Mech., vol. 147, pp. 233-259, 1984.

  52. Veerappan, M., Kalaiselvam, S., Iniyan, S., and Goic, R., Phase Change Characteristic Study of Spherical PCMs in Solar Enegy Storage, Sol. Energy, vol. 83, pp. 1245-1252, 2007.

  53. Velraj, R., Seeniraj, R., Hafner, B., Faber, C., and Schwarzer, K., Heat Transfer Enhancement in a Latent Heat Storage System, Sol. Energy, vol. 65, pp. 171-80, 1999.

  54. Wakao, N., Kaguei, S., and Funazkri, T., Effect of Fluid Dispersion Coefficients on Particle-to-Fluid Heat Transfer Coefficients in Packed Beds: Correlation of Nusselt Numbers, Chem. Eng. Sci., vol. 34, pp. 325-336, 1979.

  55. Wu, Z. and Zhao, C., Experimental Investigations of Porous Materials in High Temperature Thermal Energy Storage Systems, Sol. Energy, vol. 85, pp. 1371-1380, 2011.

  56. Xu, Y., He, Y.L., Li, Y.Q., and Song, H.J., Exergy Analysis and Optimization of Charging-Discharging Processes of Latent Heat Thermal Energy Storage System with Three Phase Change Materials, Sol. Energy, vol. 123, pp. 206-216, 2016.

  57. Yang, J., Zhao, C., and Hutchins, D., Modeling the Effect of Binary Phase Composition on Inward Solidification of a Particle, Int. J. Heat Mass Transf., vol. 55, pp. 6766-6774, 2012.

  58. Yang, Z. and Garimella, S., Molten-Salt Thermal Energy Storage in Thermoclines under Different Environmental Boundary Conditions, Appl. Energy, vol. 87, pp. 3322-2239, 2010.

  59. Zhang, J., Zhang, X., Wan, Y., Mei, D., and Zhang, B., Preparation and Thermal Energy Properties of Paraffin/Halloysite Nano-tube Composite as Form-Stable Phase Change Material, Sol. Energy, vol. 86, pp. 1142-1148, 2012.

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