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Mathematical solutions and numerical models employed for the investigations of PCMs' phase transformations

Liu, S., Li, Y. and Zhang, Y.
2014
Renewable and Sustainable Energy Reviews, Volume 33, May 2014, Pages 659-674


Liu, S., Li, Y. and Zhang, Y., (2014), "Mathematical solutions and numerical models employed for the investigations of PCMs' phase transformations", Renewable and Sustainable Energy Reviews, Volume 33, May 2014, Pages 659-674.
Abstract:
Latent heat thermal energy storage (LHTES) has recently attracted increasing interest related to the thermal applications, and has been studied by researchers using theoretical and numerical approaches. The heat transfer mechanisms during the charging and discharging periods of the phase change materials (PCMs) and two basic problems for phase transformations have been discussed in this paper. 1D, 2D and 3D popular mathematical solutions based on the heat transfer mechanisms of conduction and/or convection have been analyzed. Then, various numerical models for encapsulated PCMs in terms of macro-encapsulated PCM and micro-encapsulated PCM were investigated. The numerical simulation of heat transfer problems in phase change processes is complicated and the achieved results are approximate according to a number of conditions. The accuracy of numerical solution depends on the assumptions that are made by the authors. Therefore this review will enable the researchers to have an overall view of the mathematical and numerical methods used for PCM?s phase transformations. It offers the researcher a guideline of selecting the appropriate theoretical solutions according to their researches? Purposes.

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Author Information and Other Publications Notes
Liu, S.
     
Li, Y.
  1. Improved uncertainty for a modified commercial emissometer
  2. Numerical investigation of the influence of room factors on HAM transport in a full-scale experimental room
  3. Simple correction methods of infrared thermography for building exterior surfaces
  4. Technical development of rotary desiccant dehumidification and air conditioning: A review  
Zhang, Y.
  1. An Overview of Room Air Motion Measurement: Technology and Application
  2. An Overview of Room Air Motion Measurement: Technology and Application
  3. Comparative experiment study on photovoltaic and thermal solar system under natural circulation of water
  4. Comparison of indoor aerosol particle concentration and deposition in different ventilated rooms by numerical method
  5. Measurement of airflow patterns in ventilated spaces using particle image velocimetry
  6. Review of thermal energy storage technologies based on PCM application in buildings  



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