Influence of spherical inclusions on effective thermoelectric properties of thermoelectric composite materials

doi:10.1088/1674-1056/ab7d96

中国物理B ›› 2020, Vol. 29 ›› Issue (5): 57301-057301.doi: 10.1088/1674-1056/ab7d96

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Influence of spherical inclusions on effective thermoelectric properties of thermoelectric composite materials

Wen-Kai Yan(闫文凯), Ai-Bing Zhang(张爱兵), Li-Jun Yi(易利军), Bao-Lin Wang(王保林), Ji Wang(王骥)

1 Piezoelectric Device Laboratory, School of Mechanical Engineering&Mechanics, Ningbo University, Ningbo 315211, China;
2 Centre for Infrastructure Engineering, School of Engineering, Western Sydney University, Penrith, NSW 2751, Australia

收稿日期:2019-12-01 修回日期:2020-02-15 出版日期:2020-05-05 发布日期:2020-05-05
通讯作者: Ai-Bing Zhang E-mail:zhangaibing@nbu.edu.cn
基金资助:
Project supported by the Ningbo Natural Science Foundation, China (Grant Nos. 2019A610151 and 2018A610081), the Natural Science Foundation of Zhejiang Province, China (Grant Nos. LY17A020001 and LY20A020002), the National Natural Science Foundation of China (Grant No. 11402063), and the K C Wong Magna Fund in Ningbo University, China.

Influence of spherical inclusions on effective thermoelectric properties of thermoelectric composite materials

Wen-Kai Yan(闫文凯)¹, Ai-Bing Zhang(张爱兵)¹, Li-Jun Yi(易利军)¹, Bao-Lin Wang(王保林)², Ji Wang(王骥)¹

1 Piezoelectric Device Laboratory, School of Mechanical Engineering&Mechanics, Ningbo University, Ningbo 315211, China;
2 Centre for Infrastructure Engineering, School of Engineering, Western Sydney University, Penrith, NSW 2751, Australia

Received:2019-12-01 Revised:2020-02-15 Online:2020-05-05 Published:2020-05-05
Contact: Ai-Bing Zhang E-mail:zhangaibing@nbu.edu.cn
Supported by:
Project supported by the Ningbo Natural Science Foundation, China (Grant Nos. 2019A610151 and 2018A610081), the Natural Science Foundation of Zhejiang Province, China (Grant Nos. LY17A020001 and LY20A020002), the National Natural Science Foundation of China (Grant No. 11402063), and the K C Wong Magna Fund in Ningbo University, China.

摘要/Abstract

摘要： A homogenization theory is developed to predict the influence of spherical inclusions on the effective thermoelectric properties of thermoelectric composite materials based on the general principles of thermodynamics and Mori-Tanaka method. The closed-form solutions of effective Seebeck coefficient, electric conductivity, heat conductivity, and figure of merit for such thermoelectric materials are obtained by solving the nonlinear coupled transport equations of electricity and heat. It is found that the effective figure of merit of thermoelectric material containing spherical inclusions can be higher than that of each constituent in the absence of size effect and interface effect. Some interesting examples of actual thermoelectric composites with spherical inclusions, such as insulated cavities, inclusions subjected to conductive electric and heat exchange and thermoelectric inclusions, are considered, and the numerical results lead to the conclusion that considerable enhancement of the effective figure of merit is achievable by introducing inclusions. In this paper, we provide a theoretical foundation for analytically and computationally treating the thermoelectric composites with more complicated inclusion structures, and thus pointing out a new route to their design and optimization.

关键词: thermoelectric composites, effective properties, spherical inclusions

Abstract: A homogenization theory is developed to predict the influence of spherical inclusions on the effective thermoelectric properties of thermoelectric composite materials based on the general principles of thermodynamics and Mori-Tanaka method. The closed-form solutions of effective Seebeck coefficient, electric conductivity, heat conductivity, and figure of merit for such thermoelectric materials are obtained by solving the nonlinear coupled transport equations of electricity and heat. It is found that the effective figure of merit of thermoelectric material containing spherical inclusions can be higher than that of each constituent in the absence of size effect and interface effect. Some interesting examples of actual thermoelectric composites with spherical inclusions, such as insulated cavities, inclusions subjected to conductive electric and heat exchange and thermoelectric inclusions, are considered, and the numerical results lead to the conclusion that considerable enhancement of the effective figure of merit is achievable by introducing inclusions. In this paper, we provide a theoretical foundation for analytically and computationally treating the thermoelectric composites with more complicated inclusion structures, and thus pointing out a new route to their design and optimization.

Key words: thermoelectric composites, effective properties, spherical inclusions

中图分类号: (Thermoelectric effects)

73.50.Lw

84.60.Rb (Thermoelectric, electrogasdynamic and other direct energy conversion) 84.60.Bk (Performance characteristics of energy conversion systems; figure of merit) 46.25.Cc (Theoretical studies)

闫文凯, 张爱兵, 易利军, 王保林, 王骥. Influence of spherical inclusions on effective thermoelectric properties of thermoelectric composite materials[J]. 中国物理B, 2020, 29(5): 57301-057301.

Wen-Kai Yan(闫文凯), Ai-Bing Zhang(张爱兵), Li-Jun Yi(易利军), Bao-Lin Wang(王保林), Ji Wang(王骥). Influence of spherical inclusions on effective thermoelectric properties of thermoelectric composite materials[J]. Chin. Phys. B, 2020, 29(5): 57301-057301.

参考文献 42

[1]	Bell L E 2008 Science 321 1457 doi: 10.1126/science.1158899
[2]	Callen H B 1960 Am. J. Phys. 28 684 doi: 10.1119/1.1935945
[3]	Harman T C and Honig J M 1967 Thermoelectric and thermomagnetic effects and applications. (New York: McGraw-Hill)
[4]	Mahan G D 1997 Phys. Rev. B: Solid State Phys. 51 81
[5]	Gao C Y and Chen G M 2016 Compos. Sci. Technol. 124 52 doi: 10.1016/j.compscitech.2016.01.014
[6]	Rowe D M 1999 Renew. Energ. 16 1251 doi: 10.1016/S0960-1481(98)00512-6
[7]	Duan W Y, Liu J F, Zhang C and Ma Z S 2018 Chin. Phys. B 27 097204 doi: 10.1088/1674-1056/27/9/097204
[8]	Xu K Q, Zeng H R, Yu H Z, Zhao K Y, Li G R, Song J Q, Shi X and Chen L D 2014 Chin. Phys. Lett. 31 127201 doi: 10.1088/0256-307X/31/12/127201
[9]	Song K, Song H P and Gao C F 2018 Chin. Phys. B 27 077304 doi: 10.1088/1674-1056/27/7/077304
[10]	Rowe D M 2005 Thermoelectric handbook: macro to nano (BocaRaton: CRC Press)
[11]	Riffat S B and Ma X 2003 Appl. Therm. Eng. 23 913 doi: 10.1016/S1359-4311(03)00012-7
[12]	Zhou B, Huang Y, En Y F, Fu Z W, Chen S and Yao R H 2018 Acta Phys. Sin. 67 028101 (in Chinese)
[13]	Zhu Y Q, Zhang Z H, Song S N, Xie H Q, Song Z T, Shen L L, Li L, Wu L C and Liu B 2015 Chin. Phys. Lett. 32 77302 doi: 10.1088/0256-307X/32/7/077302
[14]	Hong M, Chen Z G and Zou J 2018 Chin. Phys. B 27 048403 doi: 10.1088/1674-1056/27/4/048403
[15]	Tritt T M, Boettner L and Chen L 2008 MRS Bull. 33 366 doi: 10.1557/mrs2008.73
[16]	Dresselhaus M S, Chen G, Tang M Y, Yang R G, Lee H, Wang D Z, Ren Z F, Fleurial J P and Gogna P 2007 Adv. Mater. 19 1043 doi: 10.1002/adma.200600527
[17]	Gooth J, Schiering G, Felser C and Nielsch K 2018 MRS Bull. 43 187 doi: 10.1557/mrs.2018.34
[18]	Gnanaseelan M, Chen Y, Luo J J, Krause B, Pionteck J, Pötschke P and Qi H S 2018 Compos. Sci. Technol. 163 133 doi: 10.1016/j.compscitech.2018.04.026
[19]	Liu W S, Yan X, Chen G and Ren Z F 2012 Nano Energy 1 42 doi: 10.1016/j.nanoen.2011.10.001
[20]	Yuan G C, Chen X, Huang Y Y, Mao J X, Yu J Q, Lei X B and Zhang Q Y 2019 Acta Phys. Sin. 68 117201 (in Chinese)
[21]	Wang T, Chen H Y, Qiu P F, Shi X and Chen L D 2019 Acta Phys. Sin. 68 090201 (in Chinese)
[22]	Huang P, You L, Liang X, Zhang J Y and Luo J 2019 Acta Phys. Sin. 68 077201 (in Chinese)
[23]	Tao Y, Qi N, Wang B, Chen Z Q and Tang X F 2018 Acta Phys. Sin. 67 197201 (in Chinese)
[24]	Zhang F P, Zhang J W, Zhang J X, Yang X Y, Lu Q M and Zhang X 2017 Acta Phys. Sin. 66 247202 (in Chinese)
[25]	Wang R F, Dai L, Yan Y C, Peng K L, Lu X, Zhou X Y and Wang G Y 2018 Chin. Phys. B 27 067201 doi: 10.1088/1674-1056/27/6/067201
[26]	Liu C Y, Miao L, Wang X Y, Wu S H, Zheng Y Y, Deng Z Y, Chen Y L, Wang G W and Zhou X Y 2018 Chin. Phys. B 27 047211 doi: 10.1088/1674-1056/27/4/047211
[27]	Qin D D, Liu Y, Meng X F, Cui B, Qi Y Y, Cai W and Sui J H 2018 Chin. Phys. B 27 048402 doi: 10.1088/1674-1056/27/4/048402
[28]	Bergman D J and Fel L G 1999 J. Appl. Phys. 85 8205 doi: 10.1063/1.370660
[29]	Bergman D J and Levy O 1991 J. Appl. Phys. 70 6821 doi: 10.1063/1.349830
[30]	Yang, Y, Xie S H, Ma F Y and Li J Y 2012 J. Appl. Phys. 111 013510 doi: 10.1063/1.3674279
[31]	Yang Y, Ma F Y, Liu Y Y and Li J Y 2013 Appl. Phys. Lett. 102 053905 doi: 10.1063/1.4791684
[32]	Song K, Song H P, Li M, Schiavone and Gao C F 2019 Int. J. Heat Mass Transfer. 135 1319 doi: 10.1016/j.ijheatmasstransfer.2019.02.088
[33]	Song K, Song H P, Schiavone and Gao C F 2019 Acta Mech. 230 3693 doi: 10.1007/s00707-019-02468-x
[34]	Zhang A B, Wang B L, Wang J, Du J K, Xie C and Jin Y A 2017 Appl. Therm. Eng. 127 1442 doi: 10.1016/j.applthermaleng.2017.08.154
[35]	Wang P, Wang B L, Wang K F, Hirakata H and Zhang C 2019 Int. J. Eng. Sci. 142 158 doi: 10.1016/j.ijengsci.2019.06.005
[36]	Liu L P 2012 Int. J. Eng. Sci. 55 35 doi: 10.1016/j.ijengsci.2012.02.003
[37]	Yang Y, Lei C H, Gao C F and Li J Y 2015 J. Mech. Phys. Solids 76 98 doi: 10.1016/j.jmps.2014.12.006
[38]	Mori T and Tanaka K 1973 ACTA Metall. 21 571 doi: 10.1016/0001-6160(73)90064-3
[39]	Zhang A B and Wang B L 2016 Eng. Fract. Mech. 151 11 doi: 10.1016/j.engfracmech.2015.11.013
[40]	Norris A N 1989 J. Appl. Mech. 56 83 doi: 10.1115/1.3176070
[41]	Tzou D Y 1991 J. Compos. Mater. 25 1064 doi: 10.1177/002199839102500806
[42]	Song K, Song H P and Gao C F 2017 Chin. Phys. B 26 498

Influence of spherical inclusions on effective thermoelectric properties of thermoelectric composite materials

Influence of spherical inclusions on effective thermoelectric properties of thermoelectric composite materials

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 42

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Zhiyuan Liu(刘志愿), Ting Yang(杨婷), Yonggui Wang(王永贵), Ailin Xia(夏爱林), and Lianbo Ma(马连波). Energy band and charge-carrier engineering in skutterudite thermoelectric materials[J]. 中国物理B, 2022, 31(10): 107303-107303.
[2]	Hanpu Liang(梁汉普) and Yifeng Duan(段益峰). Tunable anharmonicity versus high-performance thermoelectrics and permeation in multilayer (GaN)_1-x(ZnO)_x[J]. 中国物理B, 2022, 31(7): 76301-076301.
[3]	Pan-Pan Peng(彭盼盼), Chao Wang(王超), Lan-Wei Li(李岚伟), Shu-Yao Li(李淑瑶), and Yan-Qun Chen(陈艳群). Research status and performance optimization of medium-temperature thermoelectric material SnTe[J]. 中国物理B, 2022, 31(4): 47307-047307.
[4]	Kang Zhu(朱康), Shengqiang Bai(柏胜强), Hee Seok Kim, and Weishu Liu(刘玮书). Module-level design and characterization of thermoelectric power generator[J]. 中国物理B, 2022, 31(4): 48502-048502.
[5]	Jiaji Yang(杨家霁), Xuejing Li(李雪晶), Yanhua Jia(贾艳华), Jiang Zhang(张弜), and Qinglin Jiang(蒋庆林). Enhanced thermoelectric performance of PEDOT: PSS films via ionic liquid post-treatment[J]. 中国物理B, 2022, 31(2): 27302-027302.
[6]	Fu-Wei Liu(刘福伟), Fei Zhong(钟飞), Shi-Chao Wang(王世超), Wen-He Xie(谢文合), Xue Chen(陈雪), Ya-Ge Hu(胡亚歌), Yu-Ying Ge(葛钰莹), Yuan Gao(郜源), Lei Wang(王雷), and Zi-Qi Liang(梁子骐). Facile fabrication of highly flexible, porous PEDOT: PSS/SWCNTs films for thermoelectric applications[J]. 中国物理B, 2022, 31(2): 27303-027303.
[7]	Jun Pang(庞军), Xi Zhang(张析), Limeng Shen(申笠蒙), Jiayin Xu(徐家胤), Ya Nie(聂娅), and Gang Xiang(向钢). Synthesis and thermoelectric properties of Bi-doped SnSe thin films[J]. 中国物理B, 2021, 30(11): 116302-116302.
[8]	Wei-Jiang Gong(公卫江), Yu-Hang Xue(薛宇航), Xiao-Qi Wang(王晓琦), Lian-Lian Zhang(张莲莲), and Guang-Yu Yi(易光宇). Suppression of leakage effect of Majorana bound states in the T-shaped quantum-dot structure[J]. 中国物理B, 2021, 30(7): 77307-077307.
[9]	Xiao-Gang Xia(夏晓刚), Qiang Zhang(张强), Wen-Bin Zhou(周文斌), Zhuo-Jian Xiao(肖卓建), Wei Xi(席薇), Yan-Chun Wang(王艳春), and Wei-Ya Zhou(周维亚). Highly flexible and excellent performance continuous carbon nanotube fibrous thermoelectric modules for diversified applications[J]. 中国物理B, 2021, 30(7): 78801-078801.
[10]	. [J]. 中国物理B, 2021, 30(3): 37304-.
[11]	王杨, 张忻, 刘燕琴, 张久兴, 岳明. Significant role of nanoscale Bi-rich phase in optimizing thermoelectric performance of Mg₃Sb₂[J]. 中国物理B, 2020, 29(6): 67201-067201.
[12]	迟锋, 付振国, 刘黎明, 张平. Enhanced spin-dependent thermopower in a double-quantum-dot sandwiched between two-dimensional electron gases[J]. 中国物理B, 2019, 28(10): 107305-107305.
[13]	段文晔, 刘军丰, 张潮, 马中水. The magneto-thermoelectric effect of graphene with intra-valley scattering[J]. 中国物理B, 2018, 27(9): 97204-097204.
[14]	宋坤, 宋豪鹏, 高存法. Improving compatibility between thermoelectric components through current refraction[J]. 中国物理B, 2018, 27(7): 77304-077304.
[15]	张旦, 白洪昌, 李志亮, 王江龙, 傅广生, 王淑芳. Multinary diamond-like chalcogenides for promising thermoelectric application[J]. 中国物理B, 2018, 27(4): 47206-047206.