THERMAL SCIENCE

International Scientific Journal

PHASE CHANGE MATERIAL SOLIDIFICATION IN A FINNED CYLINDRICAL SHELL THERMAL ENERGY STORAGE: AN APPROXIMATE ANALYTICAL APPROACH

ABSTRACT
Results are reported of an investigation of the solidification of a phase change material (PCM) in a cylindrical shell thermal energy storage with radial internal fins. An approximate analytical solution is presented for two cases. In case 1, the inner wall is kept at a constant temperature and, in case 2, a constant heat flux is imposed on the inner wall. In both cases, the outer wall is insulated. The results are compared to those for a numerical approach based on an enthalpy method. The results show that the analytical model satisfactory estimates the solid-liquid interface. In addition, a comparative study is reported of the solidified fraction of encapsulated PCM for different geometric configurations of finned storage having the same volume and surface area of heat transfer.
KEYWORDS
PAPER SUBMITTED: 2012-03-26
PAPER REVISED: 2012-09-25
PAPER ACCEPTED: 2012-10-17
DOI REFERENCE: https://doi.org/10.2298/TSCI120326207M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2013, VOLUME 17, ISSUE 2, PAGES [407 - 418]
REFERENCES
  1. Dinçer, I., Rosen, M. A., Thermal Energy Storage: Systems and Applications, 2nd ed., John Wiley & Sons, Chichester, England, 2011.
  2. Velraj, R., et al., Heat transfer enhancement in a latent heat storage system, Solar Energy 65 (1999) pp. 171-180.
  3. Agyenim, F., et al., A review of materials, heat transfer and phase change problem formulation for latent heat thermal energy storage systems (LHTESS), Renewable and Sustainable Energy Reviews 14 (2010) pp. 615-628.
  4. Alexiades, V., Solomon, A. D., Mathematical Modelling of Melting and Freezing Processes, Hemisphere Publishing Corporation, Washington DC, USA, 1993.
  5. Dutil, Y., et al., A review on phase change materials: Mathematical modeling and simulations, Renewable and Sustainable Energy Reviews 15 (2011) pp. 112-130.
  6. Velraj, R., et al., Experimental analysis and numerical modelling of inward solidification on a finned vertical tube for a latent heat storage unit, Solar Energy 60 (1997) pp. 281-290.
  7. Lamberg, P., et al., Numerical and experimental investigation of melting and freezing processes in phase change material storage, International Journal Thermal Science 43 (2004) pp. 277-287.
  8. Talati, F., et al., Analytical approximation for solidification processes in PCM storage with internal fins: imposed heat flux, Heat and Mass Transfer 47 (2011) pp. 369-376.
  9. Lamberg, P., Sirén, K., Approximate analytical model for solidification in a finite PCM storage with internal fins, Applied Mathematical Modelling 27 (2003) pp. 491-513.
  10. Lamberg, P., Approximate analytical model for two-phase solidification problem in a finned phase-change material storage, Applied Energy 77 (2004) pp. 131-152.
  11. Erek, A., et al., Experimental and numerical investigation of thermal energy storage with a finned tube, International Journal of Energy Research 29 (2005) pp. 283-301.
  12. Zhang, Y., Faghri, A., Heat transfer enhancement in latent heat thermal energy storage system by using an external radial finned tube, Journal of Enhancement Heat Transfer 3 (1996) pp. 119-127.
  13. Cao, Y., Faghri, A., A numerical analysis of phase change problems including natural convection, ASME Journal of Heat Transfer 112 (1990) pp. 812-816.
  14. Kroeger, P. G., Ostrach, S., The solution of a two-dimensional freezing problem including convection effects in the liquid region, International Journal of Heat and Mass Transfer 17 (1973) pp. 1191-1207.
  15. Özişik, M. N., Heat Conduction, 2nd ed., John Wiley & Sons, New York, USA, 1993.
  16. Korenev, B. G., Bessel Functions and their Applications, Taylor & Francis, New York, USA, 2002.
  17. Zivkovic, B., Fujii, I., An analysis of isothermal phase change of phase change material within rectangular and cylindrical containers, Solar Energy 70 (2001) pp. 51-61.
  18. Incropera, F. P., et al., Fundamentals of Heat and Mass Transfer, 6th ed., Wiley, New York, USA, 2007.

© 2019 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence