Characterization of size effect of natural convection in melting process of phase change material in square cavity

doi:10.1088/1674-1056/abea9c

中国物理B ›› 2021, Vol. 30 ›› Issue (10): 104403-104403.doi: 10.1088/1674-1056/abea9c

Characterization of size effect of natural convection in melting process of phase change material in square cavity

Shi-Hao Cao(曹世豪)¹ and Hui Wang(王辉)^2,†

1 College of Civil Engineering, Henan University of Technology, Zhengzhou 450001, China;
2 School of Civil Engineering and Architecture, Hainan University, Haikou 570228, China

收稿日期:2021-01-20 修回日期:2021-02-11 接受日期:2021-03-01 发布日期:2021-09-30
通讯作者: Hui Wang E-mail:huiwang@hainanu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 51908197 and 12072107), the Tackle Key Problems in Science and Technology Project of Henan Province, China (Grant No. 202102310262), the Program for Innovative Research Team of Science & Technology of Henan Province, China (Grant No. 19IRTSTHN020), and the Key Research Project of Higher Education Institutions of Henan Province, China (Grant No. 20B580001).

Characterization of size effect of natural convection in melting process of phase change material in square cavity

Shi-Hao Cao(曹世豪)¹ and Hui Wang(王辉)^2,†

1 College of Civil Engineering, Henan University of Technology, Zhengzhou 450001, China;
2 School of Civil Engineering and Architecture, Hainan University, Haikou 570228, China

Received:2021-01-20 Revised:2021-02-11 Accepted:2021-03-01 Published:2021-09-30
Contact: Hui Wang E-mail:huiwang@hainanu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 51908197 and 12072107), the Tackle Key Problems in Science and Technology Project of Henan Province, China (Grant No. 202102310262), the Program for Innovative Research Team of Science & Technology of Henan Province, China (Grant No. 19IRTSTHN020), and the Key Research Project of Higher Education Institutions of Henan Province, China (Grant No. 20B580001).

摘要/Abstract

摘要： The accelerating effect of natural convection on the melting of phase change material (PCM) has been extensively demonstrated. However, such an influence is directly dependent on the size and shape of domain in which phase change happens, and how to quantitatively describe such an influence is still challenging. On the other hand, the simulation of natural convection process is considerably difficult, involving complex fluid flow in a region changing with time, and is typically not operable in practice. To overcome these obstacles, the present study aims to quantitatively investigate the size effect of natural convection in the melting process of PCM paraffin filled in a square latent heat storage system through experiment and simulation, and ultimately a correlation equation to represent its contribution is proposed. Firstly, the paraffin melting experiment is conducted to validate the two-dimensional finite element model based on the enthalpy method. Subsequently, a comprehensive investigation is performed numerically for various domain sizes. The results show that the melting behavior of paraffin is dominated by the thermal convection. When the melting time exceeds 50 s, a whirlpoor flow caused by natural convection appears in the upper liquid phase region close to the heating wall, and then its influencing range gradually increases to accelerate the melting of paraffin. However, its intensity gradually decreases as the distance between the melting front and the heating wall increases. Besides, it is found that the correlation between the total melting time and the domain size approximately exhibits a power law. When the domain size is less than 2 mm, the accelerating effect of natural convection becomes very weak and can be ignored in practice. Moreover, in order to simplify the complex calculation of natural convection, the equivalent thermal conductivity concept is proposed to include the contribution of natural convection to the total melting time, and an empirical correlation is given for engineering applications.

关键词: phase change material, natural convection, size effect, equivalent thermal conductivity

Abstract: The accelerating effect of natural convection on the melting of phase change material (PCM) has been extensively demonstrated. However, such an influence is directly dependent on the size and shape of domain in which phase change happens, and how to quantitatively describe such an influence is still challenging. On the other hand, the simulation of natural convection process is considerably difficult, involving complex fluid flow in a region changing with time, and is typically not operable in practice. To overcome these obstacles, the present study aims to quantitatively investigate the size effect of natural convection in the melting process of PCM paraffin filled in a square latent heat storage system through experiment and simulation, and ultimately a correlation equation to represent its contribution is proposed. Firstly, the paraffin melting experiment is conducted to validate the two-dimensional finite element model based on the enthalpy method. Subsequently, a comprehensive investigation is performed numerically for various domain sizes. The results show that the melting behavior of paraffin is dominated by the thermal convection. When the melting time exceeds 50 s, a whirlpoor flow caused by natural convection appears in the upper liquid phase region close to the heating wall, and then its influencing range gradually increases to accelerate the melting of paraffin. However, its intensity gradually decreases as the distance between the melting front and the heating wall increases. Besides, it is found that the correlation between the total melting time and the domain size approximately exhibits a power law. When the domain size is less than 2 mm, the accelerating effect of natural convection becomes very weak and can be ignored in practice. Moreover, in order to simplify the complex calculation of natural convection, the equivalent thermal conductivity concept is proposed to include the contribution of natural convection to the total melting time, and an empirical correlation is given for engineering applications.

Key words: phase change material, natural convection, size effect, equivalent thermal conductivity

中图分类号: (Natural convection)

44.25.+f

91.60.Hg (Phase changes)

Shi-Hao Cao(曹世豪) and Hui Wang(王辉). Characterization of size effect of natural convection in melting process of phase change material in square cavity[J]. 中国物理B, 2021, 30(10): 104403-104403.

Shi-Hao Cao(曹世豪) and Hui Wang(王辉). Characterization of size effect of natural convection in melting process of phase change material in square cavity[J]. Chin. Phys. B, 2021, 30(10): 104403-104403.

参考文献

[1] Arshad A, Ali H M, Yan W M, Hussein A K and Ahmadlouydarab M 2018 Appl. Thermal Eng. 132 52
[2] Mao Q, Chen H, Zhao Y and Wu H 2018 Appl. Thermal Eng. 129 557
[3] Rehman T U and Ali H M 2018 Int. Commun. Heat Mass Transfer 98 155
[4] Sari A, Bicer A, Karaipekli A and Al-Sulaiman F A 2018 Solar Energy Mater. Solar Cells 174 523
[5] Eyres N R, Hartree D R, Ingham J, Sarjant R J, Wagstaff J B 1946 Philos. Trans. Royal Soc. London Series A, Math. Phys. Sci. 240 1
[6] Shamsundar N and Sparrow E M 1975 J. Heat Transfer 97 333
[7] Cao Y D, Faghri A and Chang W S 1989 Int. J. Heat Mass Transfer 32 1289
[8] Lacroix M and Voller V R 1990 Num. Heat Transfer, Part B: Fundamentals 17 25
[9] Sultana K R, Dehghani S R, Pope K and Muzychka Y S 2018 Num. Heat Transfer, Part B: Fundamentals 73 129
[10] Basu B and Date A W 1988 Sadhana 13 169
[11] Wang S, Faghri A and Bergman T L 2010 Int. J. Heat Mass Transfer 53 1986
[12] Rui Z, Li J, Ma J, Cai H, Nie B and Peng H 2020 Results in Physics 18 103274
[13] Assis E, Katsman L, Ziskind G and Letan R 2007 Int. J. Heat Mass Transfer 50 1790
[14] Wang S and Zhang Y 2008 J. Enhllnced Heal Transfer 15 171
[15] Woodfield J, Alvarez M, Gómez-Vargas B and Ruiz-Baier R 2019 J. Comput. Appl. Math. 360 117
[16] Madruga S and Mendoza C 2017 Int. J. Heat Mass Transfer 109 501
[17] Kenisarin M M, Mahkamov K, Costa S C and Makhkamova I 2020 Journal of Energy Storage 27 101082
[18] Seo Y M, Ha M Y and Park Y G 2019 Int. J. Heat Mass Transfer 131 795
[19] Madruga S, Haruki N and Horibe A 2018 Int. Commun. Heat Mass Transfer 98 163
[20] Madruga S and Curbelo J 2018 Int. J. Heat Mass Transfer 126 206
[21] Fan L W, Zhu Z Q, Zeng Y, Ding Q and Liu M J 2016 Int. J. Heat Mass Transfer 95 1057
[22] Elbahjaoui R and El Qarnia H 2017 Energy and Buildings 153 1
[23] Madruga S and Mischlich G S 2017 Appl. Thermal Eng. 124 1123
[24] Wang H and Qin Q H Qinghua.Qin/publications/paper
[25] Zhang P, Meng Z N, Zhu H, Wang Y L and Peng S P 2017 Appl. Energy 185 1971
[26] Karaipekli A, Biçer A, Sari A and Tyagi V V 2017 Energy Conversion and Management 134 373
[27] Zhang L, Zhou K, Wei Q, et al. 2019 Appl. Energy 233-234 208
[28] Voller V R and Prakash C 1987 Int. J. Heat Mass Transfer 30 1709

Characterization of size effect of natural convection in melting process of phase change material in square cavity

Characterization of size effect of natural convection in melting process of phase change material in square cavity

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Jing-Jun Wu(伍景军), Feng Tang(唐烽), Jun Ma(马骏), Bing Han(韩冰), Cong Wei(魏聪), Qing-Zhi Li(李青芝), Jun Chen(陈骏), Ning Zhang(张宁), Xin Ye(叶鑫), Wan-Guo Zheng(郑万国)^‡, and Ri-Hong Zhu(朱日宏). Temperature-responded tunable metalenses based on phase transition materials[J]. 中国物理B, 2022, 31(5): 54216-054216.
[2]	Yade Wang(王亚德), Zijian Lin(林子荐), Siwei Xue(薛思玮), Jiade Li(李佳德), Yi Li(李毅), Xuetao Zhu(朱学涛), and Jiandong Guo(郭建东). Collective excitations and quantum size effects on the surfaces of Pb(111) films: An experimental study[J]. 中国物理B, 2021, 30(7): 77308-077308.
[3]	Ce Li(李策), Wei Zhu(朱维), Shuo Du(杜硕), Junjie Li(李俊杰), and Changzhi Gu(顾长志). High-efficiency reflection phase tunable metasurface at near-infrared frequencies[J]. 中国物理B, 2021, 30(5): 57802-057802.
[4]	刘柏男, 陆浩, 褚赓, 罗飞, 郑杰允, 陈仕谋, 李泓. Size effect of Si particles on the electrochemical performances of Si/C composite anodes[J]. 中国物理B, 2018, 27(8): 88201-088201.
[5]	耿浩, 邓伟胤, 任月皎, 盛利, 邢定钰. Unified semiclassical approach to electronic transport from diffusive to ballistic regimes[J]. 中国物理B, 2016, 25(9): 97201-097201.
[6]	侯阳, 朱林利. Influence of surface scattering on the thermal properties of spatially confined GaN nanofilm[J]. 中国物理B, 2016, 25(8): 86502-086502.
[7]	陈锐, 周斌. Finite size effects on the helical edge states on the Lieb lattice[J]. 中国物理B, 2016, 25(6): 67204-067204.
[8]	雷娟棉, 彭雪莹. Improved kernel gradient free-smoothed particle hydrodynamics and its applications to heat transfer problems[J]. 中国物理B, 2016, 25(2): 20202-020202.
[9]	李秦宜, 楢崎将弘, 高桥厚史, 生田竜也, 西山贵史, 张兴. Temperature-dependent specific heat of suspended platinum nanofilms at 80-380 K[J]. 中国物理B, 2016, 25(11): 114401-114401.
[10]	乔瑜, 卢本卓. Improvements in continuum modeling for biomolecular systems[J]. 中国物理B, 2016, 25(1): 18705-018705.
[11]	姚胡蓉, 殷雅侠, 郭玉国. Size effects in lithium ion batteries[J]. 中国物理B, 2016, 25(1): 18203-018203.
[12]	成志, 陈锐, 周斌. Finite size effects on the quantum spin Hall state in HgTe quantum wells under two different types of boundary conditions[J]. 中国物理B, 2015, 24(6): 67304-067304.
[13]	何学敏, 颜士明, 李志文, 张星, 宋雪银, 乔文, 钟伟, 都有为. Structure, morphology, and magnetic properties of high-performance NiCuZn ferrite[J]. 中国物理B, 2015, 24(12): 127502-127502.
[14]	成志, 周斌. Finite size effects on helical edge states in HgTe quantum wells with the spin–orbit coupling due to bulk-and structure-inversion asymmetries[J]. 中国物理B, 2014, 23(3): 37304-037304.
[15]	姚海燕, 云国宏, 范文亮. Size effect of the elastic modulus of rectangular nanobeams：Surface elasticity effect[J]. 中国物理B, 2013, 22(10): 106201-106201.