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M.M. Kenisarin, et al. Journal of Energy Storage 27 (2020) 101082 Fig. 9. Comparison of the predicted melting behaviour of PCM for Case 3 with the experimental results (a) Experimental snapshots (Tan et al. [49]) (b) Temperature map [54]. Fig. 10. Solid-liquid interface position at various stages of melting [55]. process at a relatively constant speed. A comparison of the correlation with experimental data of Moore and Bayazitoglu [55] shows a good agreement only for FoSte less than 0.001. For FoSte greater than 0.001, theoretical values are greater than experimental data by about 20%. By studying the unconstrained melting process within the spherical shell, Roy and Sengupta [57] improved the method of Bareiss and Beer [58] by eliminating their assumption, made for the film thickness, and used for analysis of melting process in cylindrical capsules. The sug- gested correlation for the calculation of the solid PCM motion down- wards (drop) was derived numerically, and results are shown in Fig. 13. A comparison of computational and experimental data by Moore [59] indicated that the theory predicts the greater melting rate. The max- imum deviation from the experimental results is about 16%. The Fig. 11. Comparison of interface positions with experimental data for R = 32.72 mm, θ = =0, Ste = =0.05 and 0.1 [55]. performed analysis indicates that: • The temperature differences have a greater effect with the down- • wards motion (drop) rate being proportional to (ρ*Ste/Pr)3⁄4; The melting rate increases with a rise in the temperature difference between the wall and solid PCM, the size of the enclosure and the • difference between the solid and liquid PCM densities; The melting rate decreases with an increase in the latent heat of melting and viscosity of the fluid. It was shown that the film thickness increases with time owing to the solid volume decreases at a faster relative rate than the supporting surface area, resulting in a slower melting rate. Toksoy and İlken [60] obtained primary data, which could be useful for determination of the charge time during PCM melting in a spherical container. They performed the experiments with melting of calcium chloride hexahydrate (CaCl•6H2O, the melting point is 27.22 °C) in the spherical enclosure exposed to the flow of hot air. Fig. 15 shows the 7PDF Image | Journal of Energy Storage 27
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