Journal of Energy Storage 27

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Journal of Energy Storage 27 ( journal-energy-storage-27 )

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M.M. Kenisarin, et al. Journal of Energy Storage 27 (2020) 101082 Fig. 36. Effect of various factors on the rate of solidified mass fraction: a – material of spherical shell;b – diameter of sphere; c – temperature of external fluid; d – initial temperature of PCM [95]. effect of different factors on solidification of water inside a spherical capsule. The effects of the internal radius of the sphere, coolant tem- perature, Biot number and shell thickness are shown in Fig. 36. By numerical simulations, the time of complete solidification related to the coolant temperature can be written as phase change of water in spherical enclosures. The test sphere was filled to 80% of its volume with the de-ionized water. The experiments on freezing were conducted with spheres having diameters of 8.14, 7.00, and 6.27 cm at HTF (chilled water) temperatures of -9.5 and -4.4 °C. From tests, the variations in the solid-liquid interface position were found as Table 5 Comparison of the complete solidification time, calculated using the correla- tions of different authors [97]. tf = 1.52977 × 10 4T4 0.15605T3 + 59.69380T2 and to the Biot number as tf = 13.526Bi 0.5685 Authors of [95, 96] concluded that the time for complete solidifi- cation increases with the rise in the diameter of the spherical shell and decreases with reduction of the working fluid temperature. The thermal conductivity of the shell materials plays an important role and poor conducting materials causes the delay in starting the solidification process. The increase in the Biot number on the external surface led to a reduction in the time for complete solidification. Eames and Adref [66, 67] performed an experimental study on the 19 10148.7T + 647014 (37) (38) Ste Tao (1967) 0.1 1.920 0.3 0.5 0.474 0.8 1.0 0.284 2.0 0.180 Quasi- Pedroso steady (1973) 1.667 1.805 0.556 0.686 0.333 0.460 0.208 0.333 0.167 0.290 0.083 0.204 Riley Poots (1974) (1962) 1.791 0.924 0.649 0.368 0.406 0.257 0.256 0.195 0.200 0.174 0.062 0.132 Improved quasi-steady 1.773 0.668 0.452 0.336 0.300 0.247

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