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M.M. Kenisarin, et al. Journal of Energy Storage 27 (2020) 101082 Fig. 12. Ratio of the solid PCM travel distance to sphere diameter as a function of the relative time [56]. Fig. 13. Ratio of solid travel distance to sphere diameter as a function of nor- malized time [57]. schematic of an experimental setup used in that study. In seven ex- periments, they used two glass spheres with the inner radii of 3.93 and 2.34 cm, connected with expanding plastic tubes. The results of their experiments are presented in Table 1. The stored energy was calculated by using the relation given by Carlsson and Wettermark [61]: Qstor = Hm d( V) Vz dt (4) where ΔV is the amount of volumetric expansion of the PCM during melting, ΔVz is the difference in specific volume between the liquid and solid phase of PCM. The volumetric expansion was measured during experiments and the stored energy was calculated using Eq. (4). The Fig. 14. Experimental set-up for study of PCM melting process in single sphe- rical container [57]. Fig. 15. Molten mass fraction versus dimensionless time [60]. comparison of the experimental results with Solomon's [62] and Moore's [59] solutions showed that analytical solutions provide sig- nificantly overestimated values. Saitoh et al. [63] performed the theoretical analysis for combined Fig. 16. Comparison of results for the solid PCM descending distance versus time (Ste = =0.05, 0.10) [64]. In the graph, [2] corresponds to Bahrami & Wang [56]; [5] – to Moore & Bayazitoglu [55]. 8PDF Image | Journal of Energy Storage 27
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