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M.M. Kenisarin, et al. Journal of Energy Storage 27 (2020) 101082 32 Table 13 The generalized data of original studies on phase change heat transfer in spherical capsules containing PCMs. Researchers Type of Material of PCM Material of Border conditions Type of presentation of results study container Applicability of results for designing spherical TES with other PCM 123456 7 Constrained (fixed) melting Visual observation. Qualitative description of melting process Visual observation. Qualitative description of melting process Not applicable Not applicable Khodadadi and Zhang C & E E Silicon (comp.) Paraffin wax (exp.) N-octadecane NA Glass Glass Constant wall temperature Water bath with constant temperature Constant wall temperature Bath constant temperature Constant wall temperature Constant wall temperature Constant wall temperature Constant wall temperature [47] Tan [48] Tan et al. [49] Khot [50] Galione et al. [51] Li et al. [52] Sattari et al. [53] Soni et al. [54] N El Cl N Nl N N-octadecane Paraffin wax N-octadecane Paraffin wax N-octadecane N-octadecane Glass Graphical comparison of experimental and computational results Not applicable Unconstrained melting C N-octadecane Glass Water bath with constant temperature Constant wall temperature Constant wall temperature Graphical comparison of the dimensionless interface position with Fo for low Ste It is applicable for the cases similar to those considered in the study Moore and Bayazitoglu [55] Bahrami and Wang T N E NA NA CaCl2•6H2O NA NA Glass = ( Ste )1/4( s)(1.56 + 0.279 2 + 0.261 3 PrA l 0.0686 4) This equation can be used for determination of the time of complete melting for any PCM It is applicable for the cases similar to those considered in the study [56] Graphical presentation of variation of the dimensionless drop of interface with dimensionless time The results presented in tabular and graphical forms. Tabular data can be used for validation of numerical studies Roy and Sengupta 57] Toksoy and İlken [60] Air flow with constant temperature Constant wall temperature Tabular data can be used for validation of numerical studies Saitoh et al. [63] Hu & Shi [64] T Water NA Graphical presentation of molten mass fraction with dimensionless time It is applicable for water as PCM. It overestimates in comparison with data of Bahrami & Wang [73] It is applicable for the cases similar to those considered in the study Fomin and Saitoh [65] Eames and Adref &N Constant wall temperature Constant wall temperature 2 8 Analytical solution can be used for the estimation of the time complete melting for any PCM The empirical equations derived from experimental results can be used for designing the ice storage systems N A NA NA NA NA Graphical comparison obtained results for the dimensionless interface position with dimensionless time wit data of 72,73] El 123456 [66,67] Water Glass temperature Ro Ro 1)2 Ettouney et al. [68] Regin et al. [69] E Paraffin wax Copper Air flow with constant temperature Fom = 0.199 Ste 0.56Bi 0.212 And Fos = 0.344 Ste0.62Bi 2.01 Graphical presentation of the molten fraction with time and the time of complete melting The empirical equations derived from experimental results can be used for designing the latent storage systems with air as HTF Buluntu & Arslantürk Graphical presentation of the dimensionless interface location with Fourier number and the time of complete melting with Stefan number It is applicable for the cases similar to those considered in the study [70] E & N Nl Paraffin wax NA HDPE NA Water bath with constant temperature Convective and radiation heating with radius of the sphere for various Stefan numbers It is applicable for the cases similar to those considered in the study Glass Visual observation. Graphical presentation of liquid fraction variation with time for different Stefan number Graphical presentation of liquid fraction variation with time. The 3-D computational model interface is practically coincides with experimental observations of Tan Graphical presentation of molten fraction variation versus time for different diameter, bath temperature, PCM thermal conductivity, and container material Not applicable NA Not applicable Aluminium, Steel, Plastic Glass Graphical presentation of molten fraction variation versus time for different bath temperature Graphical comparison of experimental and computational results It is applicable for the cases similar to those considered in the study It is applicable for the cases similar to those considered in the study NA Not applicable m=( 2+A) +( 2+A+B)Ste Constant wall Q = 1.44ki Tc (0.12 t* 1) and Q = 4kw Tc (0.3 t* 8 (continued on next page)PDF Image | Journal of Energy Storage 27
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