Mathematical Model of Solidification of Hydrated Salts with a Longitudinal Fin of Rectangular Profile
Article Sidebar
Main Article Content
Abstract
Salt hydrates are inorganic phase change materials (PCMs) that can absorb and release heat energy during the phase change process. There are good properties for many applications, such as high latent heat, non-flammable, good energy storage capacity and expensive. Salt Hydrates are used for storage applications such as greenhouses and PCMs energy storage. In this paper, a mathematical model of solidification of a PCMs called hydrated salt is developed and analyzed. The conditions are that the wall temperature is 25 °C, fin length is 0.05 m., fin width is 0.01 m. PCMs storage heights are 7 sizes, 0.01 – 0.07 m. in increments of 1 cm. For a height of 0.01 m, the total time of solidification of PCMs is minimum. For at a height of 0.05 – 0.07 meters, it takes the same time for solidification and takes the most time. From the mathematical model it is found that the time, wall temperature, and fin size affect the distance of PCMs solidification.
Article Details
References
Y. M. Choo, W. Wei, “Salt hydrates as phase change materials for photovoltaics thermal management,” Energy Science & Engineering, 10(5), 1630-1642, 2021
H. Zhang, Q. Dong, J. Lu, Y. Tang, W. Bi, Y. Gao, H. Yang, J. Wang, “Modified sodium acetate trihydrate/expanded perlite composite phase change material encapsulated by epoxy resin for radiant floor heating,” Journal of Energy Storage, 65, 107374, 2023
Mochane, “Polymer encapsulated paraffin wax to be used as phase change material for energy storage (Doctoral dissertation,” University of the Free State (Qwaqwa Campus)). 2011
Lamberg, Siren, “Approximate analytical model for solidification in a finite PCM storage with internal fins,” Applied Mathematical Modelling, 27(7), 491-513, 2013
N. Vitorino, J.C.C. Abrantes, J.R. Frade, “Numerical solutions for mixed controlled solidification of phase change materials,” International journal of heat and mass transfer, 53(23-24), 5335-5342, 2010
Omar Sanusi, Ronald Warzoha, Amy S. Fleischer, “Energy storage and solidification of paraffin phase change material embedded with graphite nanofibers,” International Journal of Heat and Mass Transfer, 54(19-20), 4429-4436, 2011
Wei Li, Yun-Hao Wang, Cheng-Cheng Kong, “Experimental study on melting/solidification and thermal conductivity enhancement of phase change material inside a sphere,” International Communications in Heat and Mass Transfer, 68, 276-282, 2015
Aziz Babapoor, Gholamreza Karimi, Samad Sabbaghi, “Thermal characteristic of nanocomposite phase change materials during solidification process,” Journal of Energy Storage, 7, 74-81, 2016
Chunjian Pan, Sean Hoenig, Chien-Hua Chen, Sudhakar Neti, Carlos Romero, Natasha Vermaak, “Efficient modeling of phase change material solidification with multidimensional fins,” International Journal of Heat and Mass Transfer, 115, 897-909, 2017
N. Lakshmi Narasimhan, V. Veeraraghavan, G. Ramanathan, B. Sanjay Bharadwaj, M. Thamilmani, “Studies on the inward spherical solidification of a phase change material dispersed with macro particles,” Journal of Energy Storage, 15, 158-171, 2018
Ammar M. Abdulateef, Jasim Abdulateef, Kamaruzzaman Sopian, Sohif Mat, Adnan Ibrahim, “Optimal fin parameters used for enhancing the melting and solidification of phase change material in a heat exchanger unite,” Case Studies in Thermal Engineering, 14, 100487, 2019
Ji Zhang, Zhi Cao, Sheng Huang, Xiaohui Huang, Yu Han, Chuang Wen, Jens Honoré Walther, Yan Yang, “Solidification performance improvement of phase change materials for latent heat thermal energy storage using novel branch-structured fins and nanoparticles,” Applied Energy, 342, 121158, 2023
Chunjian Pan, Joshua Charles, Natasha Vermaak, Carlos Romero, Sudhakar Neti, Ying Zheng, Chien-Hua Chen, Richard Bonner, “Experimental, numerical and analytic study of unconstrained melting in a vertical cylinder with a focus on mushy region effects,” International Journal of Heat and Mass Transfer, 124, 1015-1024, 2018
Lamberg P., Siren K., “Analytical model for melting in a semi-infinite PCM storage with an internal fin,” Heat and mass transfer, 39(2), 167-176, 2003