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. 39. Experimental data and their comparison: a - variation of the interface the capsule size [103]. Fig. 40.Fig 40 Molten fraction as a function of dimensionless time ( = tk T =FoSte) [104]. Fig. 41. Effect of the capsule material on the dimensionless time for complete charging [105]. The authors investigated water and mixtures of water with 3.75, 7.5, 15, 25, 30, 40 and 50% Glycol content as PCMs. The main results of their study are summarized in Fig. 38. The study demonstrated that the increase of the glycol content in the mixture reduces the phase change temperature, reaching –15 °C when the Glycol content is 50% and in- creases the time for complete solidification. Despite the good agreement of numerical and experimental data, see Fig. 39, no correlation for calculation of the solidified fraction was proposed. position with working temperature; b - variation of the solidified mass fraction with Fig. 42. Variation of the solidified mass fraction with the dimensionless time for different capsule materials [105]. Rajeev and Das [104] proposed a method based on using the time function approximated by Chebyshev series and the operational matrix of integration for the numerical solution of inward solidification of a PCM, contained in cylinder/sphere. It was assumed that the thermal properties of the PCM are constant throughout the analysis for solid and liquid states. The PCM is initially at the fusion temperature, and the solution was achieved using an iterative procedure. The molten fraction of PCM, found by using the proposed method, can be seen in Fig. 40. The theoretical results produced by the authors were not compared to theoretical or experimental data in other studies. ElGhnam et al. [105] carried out a comprehensive experimental study of freezing and melting of water inside spherical envelopes. Distilled water was chosen as the PCM. In the experiments, they used spherical capsules made of copper, brass, stainless steel, glass and plastic with inner diameters of 42, 70, 92, 110 and 126 mm. The temperature of the HTF, flowing around the sphere with the volumetric rate of 1, 3, 4, 5 and 7 liters per minute, was maintained at -4, -6, -8, -10 and -12 °C. The PCM temperature inside the spherical capsule was measured using 13 thermocouples. Figs. 41–43 present only a part of large volume of experimental data obtained in this work. No correlation was derived for calculation of solidified mass fraction using this data, as it was done by Assis et al. in [101]. Chandrasekaran et al. [106–109] performed the comprehensive experimental investigation of PCM solidification in spherical capsules. Thus, in [106], they analysed the heat transfer in pure water and water/ nano copper oxide composition. A low-density polyethylene spherical capsule of 68 mm diameter, filled with the PCM up to 90% of its full LR2 21

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