基于变换热力学的任意形状热集中器研究与设计

李廷华; 毛福春; 黄铭; 杨晶晶; 陈俊昌

doi:10.7498/aps.63.054401

摘要

如何灵活地控制和操纵热流是目前研究的热点. 本文根据变换热力学方法，导出了具有任意横截面形状热集中器的材料参数表达式，并在此基础上设计了具有圆形、椭圆形、正五边形等规则横截面形状的热集中器和具有共形、非共形任意横截面形状的热集中器. 全波仿真结果表明，这些热集中器使等温线和热通量向其压缩区弯曲，靠近热源的一侧热扩散加快而相反的一侧热扩散减慢，在很小的区域内表现出对热量的集中作用，这一特点在热能工程中有潜在应用. 此外，研究了圆柱形热集中器的层化实现方法. 结果显示，热集中器可通过将同性材料沿角向分层交替填充来实现. 这项工作对热集中器的设计及制备具有指导意义.

关键词:

Abstract

How to control and manipulate the heat flow in a flexible way is a hotspot of current research. According to transformation thermodynamics method, material parameter expressions for thermal concentrator with an arbitrary cross section are derived, and thermal concentrator with special symmetrical profiles, such as circle, ellipse, and pentagon, as well as thermal concentrator with arbitrary conformal/non-conformal cross section are designed on this basis. Full wave simulation results show that these thermal concentrators can bend the isotherm and heat flux towards their compressive regions, making the heat diffuses faster on the side near heat source and slower on the opposite side. Heat concentrated into a tiny region may have potential applications in thermal engineering. In addition, research on layered realization method of cylindrical thermal concentrator is conducted. Results reveal that the thermal concentrator can be realized through alternatively filling isotropic materials into layers along the angular direction. This work has a guiding significance for the design and manufacturing of thermal concentrator.

Keywords:

作者及机构信息

1.
云南大学无线创新实验室, 昆明 650091;

2.
北京邮电大学电子工程学院, 北京 100876

基金项目: 国家自然科学基金（批准号：61161007，61261002）、云南省自然科学基金重点项目（批准号：2013FA006）和云南省自然科学基金（批准号：2011FB018）资助的课题.

Authors and contacts

1.
Wireless Innovation Lab of Yunnan University, Kunming 650091, China;

2.
School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61161007, 61261002), the Key Program of Natural Science of Yunnan Province, China (Grant No. 2013FA006), and the Natural Science Foundation of Yunnan Province, China (Grant No. 2011FB018).

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施引文献

[1]	Pendry J B 2000 Phys. Rev. Lett. 85 3966
[2]	Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[3]	Kennedy D 2003 Science 302 2033
[4]	Leonhardt U 2006 Science 312 1777
[5]	Pendry J B, Schurig D, Smith D R 2006 Science 312 1780
[6]	Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F, Smith D R 2006 Science 314 977
[7]	Yang J J, Huang M, Yang C F, Xiao Z, Peng J H 2009 Opt. Express 17 19661
[8]	Yang C F, Yang J J, Huang M, Peng J H, Cai G H 2010 Comput. Mater. Sci. 49 820
[9]	Yang J J, Huang M, Yang C F, Peng J H, Zong R 2010 Energies 3 1335
[10]	Chen H Y, Chan C. T. 2007 Appl. Phys. Lett. 90 241105
[11]	Li C, Meng X K, Liu X, Li F, Fang G Y, Chen H Y, Chan C T 2010 Phys. Rev. Lett. 105 233906
[12]	Li T H, Huang M, Yang J J, Yu J, Lan Y Z 2011 J. Phys. D: Appl. Phys. 44 325102
[13]	Chen H, Chan C T, Sheng P 2010 Nature materials 9 387
[14]	Wang Z, Dong J F, Liu J J, Luo X Y 2012 Acta Phys. Sin. 61 204101 (in Chinese) [王战, 董建峰, 刘锦景, 罗孝阳 2012 物理学报 61 204101]
[15]	Wang Z, Luo X Y, Liu J J, Dong J F 2013 Acta Phys. Sin. 62 024101 (in Chinese) [王战, 罗孝阳, 刘锦景, 董建峰 2013 物理学报 62 024101]
[16]	Guo P F, Li D, Dai Q, Fu Y Q 2013 Chin. Phys. B 22 054101
[17]	Greenleaf A, Kurylev Y, Lassas M, Uhlmann G 2008 Phys. Rev. Lett. 101 220404
[18]	Chen H Y, Chan C T 2010 J. Phys. D: Appl. Phys. 43 113001
[19]	Gao D B, Zeng X W 2012 Acta Phys. Sin. 61 184301 (in Chinese) [高东宝, 曾新吾 2012 物理学报 61 184301]
[20]	Milton G W, Briane M, Willis J R 2006 New J. Phys. 8 268
[21]	Stenger N, Wilhelm M, Wegener M 2012 Phys. Rev. Lett. 108 014301
[22]	Yu Z Z, Feng Y J, Wang Z B, Zhao M J, Jiang T 2013 Chin. Phys. B 22 034102
[23]	Chen T, Weng C N and Chen J S 2008 Appl. Phys. Lett. 93 114103
[24]	Fan C Z, Gao Y, Huang J P 2008Appl. Phys. Lett. 92 251907
[25]	Li J Y, Gao Y, Huang J P 2010 J. Appl. Phys. 108 074504
[26]	Guenneau S, Amra C, Veynante D 2012 Optics Express 20 8207
[27]	Narayana S, Sato Y 2012 Phys. Rev. Lett. 108 214303
[28]	Han T C, Tao Y, Li B W, Qiu C W 2013 Scientific Reports 3 1593
[29]	Schittny R, Kadic M, Guenneau S, Wegener M 2013 Phys. Rev. Lett. 110 195901
[30]	He X, Wu L 2013 Appl. Phys. Lett. 102 211912
[31]	Yang T Z, Huang L J, Chen F, Xu W K 2013 J. Phys. D: Appl. Phys. 46 305102
[32]	Guenneau S, Amra C 2013 Optics Express 21 6578
[33]	Han T C, Zhao J J, Yuan T, Lei D Y, Li B W, Qiu C W 2013 Energy Environ. Sci. DOI: 10.1039/c3ee41512k

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