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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.
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Keywords:
- transformation thermodynamics /
- thermal concentrator /
- arbitrary cross section /
- non-conformal
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[2] Shelby R A, Smith D R, Schultz S 2001 Science 292 77
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[5] Pendry J B, Schurig D, Smith D R 2006 Science 312 1780
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[24] Fan C Z, Gao Y, Huang J P 2008Appl. Phys. Lett. 92 251907
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[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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[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 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 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 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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