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As a kind of ultra-efficient thermal energy harvesting cell, thermal concentrator has recently attracted great attention from researchers. An analytical expression which describes the temperature distribution in the concentrator is deduced from the heat conduction equation and coordinate transformation relations. The expression is validated by numerical experiments based on COMSOL. Influence of the anisotropy due to cladding and device geometry on the performance of the thermal concentrator is analyzed. It is demonstrated that the greater the anisotropy, the better the thermal concentration effect. Besides, increasing the aspect ratio between the cladding and the core radius also gives rise to a better performance. Based on the temperature distribution relations between the core and the background region, we further explore a method to practically realize such a thermal concentrator by using naturally available materials. It is suggested that different levels of thermal concentration can be achieved by arranging alternately two isotropic conductivities along the azimuth direction and tuning their thermal localizations respectively.
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Keywords:
- thermal concentrator /
- coordinate transformation /
- analytical expression /
- natural materials
[1] Li N B, Ren J, Wang L, Zhang G, Hnggi P, Li B W 2012 Rev. Mod. Phys. 84 1045
[2] [3] Yang T Z, Huang L J, Chen F, Xu W K 2013 J. Phys. D: Appl. Phys. 46 305102
[4] [5] Chang C W, Okawa D, Majumdar A, Zettl A 2006 Science 314 1121
[6] Komatsu T S, Ito N 2011 Phys. Rev. E 83 012104
[7] [8] [9] Wang L, Li B 2007 Phys. Rev. Lett. 99 177208
[10] [11] Wang L, Li B 2008 Phys. Rev. Lett. 101 267203
[12] [13] Li T H, Mao F C, Huang M, Yang J J, Chen J C 2014 Acta Phys. Sin. 63 054401 (in Chinese)[李廷华, 毛福春, 黄铭, 杨晶晶, 陈俊昌 2014 63 054401]
[14] Hu R, Wei X, Hu J, Luo X 2014 Scientific reports 4
[15] [16] Chen T, Weng C N, Chen J S 2008 Appl. Phys. Lett. 93 114103
[17] [18] He X, Wu L 2013 Appl. Phys. Lett. 102 211912
[19] [20] [21] Fan C Z, Gao Y, Huang J P 2008 Appl. Phys. Lett. 92 251907
[22] [23] Li J Y, Gao Y, Huang J P 2010 J. Appl. Phys. 108 074504
[24] Guenneau S, Amra C, Veynante D 2012 Opt. Express 20 8207
[25] [26] [27] Narayana S and Sato Y 2012 Phys. Rev. Lett. 108 214303
[28] Schittny R, Kadic M, Guenneau S, Wegener M 2013 Phys. Rev. Lett. 110 195901
[29] [30] Guenneau S, Amra C 2013 Opt. Express 21 6578
[31] [32] [33] Han T C, Zhao J J, Yuan T, Lei D Y, Li B W, Qiu C W 2013 Energy Environ. Sci. 2013
[34] Han T, Yuan T, Li B W, Qiu C W 2013 Scientific Reports 3 1593
[35] [36] [37] Pendry J B, Schurig D, Smith D R 2006 Science 312 1780
[38] [39] 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 62 024101]
[40] Gu C, Qu S B, Pei Z B, Xu Z, Liu J, Gu W 2011 Acta Phys. Sin. 60 027801 (in Chinese)[顾超, 屈绍波, 裴志斌, 徐卓, 刘嘉, 顾巍 2011 60 027801]
[41] [42] [43] Wu Q, Zhang K, Meng F Y, Li L W 2010 Acta Phys. Sin. 59 6071 (in Chinese)[吴群, 张狂, 孟繁义, 李乐伟 2010 59 6071]
[44] [45] Leonhardt U 2006 Science 312 1777
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[1] Li N B, Ren J, Wang L, Zhang G, Hnggi P, Li B W 2012 Rev. Mod. Phys. 84 1045
[2] [3] Yang T Z, Huang L J, Chen F, Xu W K 2013 J. Phys. D: Appl. Phys. 46 305102
[4] [5] Chang C W, Okawa D, Majumdar A, Zettl A 2006 Science 314 1121
[6] Komatsu T S, Ito N 2011 Phys. Rev. E 83 012104
[7] [8] [9] Wang L, Li B 2007 Phys. Rev. Lett. 99 177208
[10] [11] Wang L, Li B 2008 Phys. Rev. Lett. 101 267203
[12] [13] Li T H, Mao F C, Huang M, Yang J J, Chen J C 2014 Acta Phys. Sin. 63 054401 (in Chinese)[李廷华, 毛福春, 黄铭, 杨晶晶, 陈俊昌 2014 63 054401]
[14] Hu R, Wei X, Hu J, Luo X 2014 Scientific reports 4
[15] [16] Chen T, Weng C N, Chen J S 2008 Appl. Phys. Lett. 93 114103
[17] [18] He X, Wu L 2013 Appl. Phys. Lett. 102 211912
[19] [20] [21] Fan C Z, Gao Y, Huang J P 2008 Appl. Phys. Lett. 92 251907
[22] [23] Li J Y, Gao Y, Huang J P 2010 J. Appl. Phys. 108 074504
[24] Guenneau S, Amra C, Veynante D 2012 Opt. Express 20 8207
[25] [26] [27] Narayana S and Sato Y 2012 Phys. Rev. Lett. 108 214303
[28] Schittny R, Kadic M, Guenneau S, Wegener M 2013 Phys. Rev. Lett. 110 195901
[29] [30] Guenneau S, Amra C 2013 Opt. Express 21 6578
[31] [32] [33] Han T C, Zhao J J, Yuan T, Lei D Y, Li B W, Qiu C W 2013 Energy Environ. Sci. 2013
[34] Han T, Yuan T, Li B W, Qiu C W 2013 Scientific Reports 3 1593
[35] [36] [37] Pendry J B, Schurig D, Smith D R 2006 Science 312 1780
[38] [39] 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 62 024101]
[40] Gu C, Qu S B, Pei Z B, Xu Z, Liu J, Gu W 2011 Acta Phys. Sin. 60 027801 (in Chinese)[顾超, 屈绍波, 裴志斌, 徐卓, 刘嘉, 顾巍 2011 60 027801]
[41] [42] [43] Wu Q, Zhang K, Meng F Y, Li L W 2010 Acta Phys. Sin. 59 6071 (in Chinese)[吴群, 张狂, 孟繁义, 李乐伟 2010 59 6071]
[44] [45] Leonhardt U 2006 Science 312 1777
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