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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

Phase change material solidification in a finned cylindrical shell thermal energy storage: An approximate analytical approach