Analysis of elliptical thermal cloak based on entropy generation and entransy dissipation approach

doi:10.1088/1674-1056/28/8/087804

Abstract In this work, we designed the elliptical thermal cloak based on the transformation thermotics. The local entropy generation rate distribution and entransy dissipation rate distribution were obtained, and the total entropy generation and entransy dissipation of different types of elliptical cloaks were evaluated. We used entropy generation approach and entransy dissipation approach to evaluate the performance of the thermal cloak, and heat dissipation analysis was carried out for models with different parameters. Finally, the optimized elliptical thermal cloak with minimum entropy generation and minimum entransy dissipation is found, and some suggestions on optimizing the structure of elliptical thermal cloak were given.

Keywords: metamaterials thermal conductivity entropy

Received: 10 May 2019
Revised: 11 June 2019
Accepted manuscript online:

PACS:	78.67.Pt	(Multilayers; superlattices; photonic structures; metamaterials)
	51.20.+d	(Viscosity, diffusion, and thermal conductivity)
	65.40.G-	(Other thermodynamical quantities)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 51606074 and 51625601) and the Fund from the Ministry of Science and Technology of China (Grant No. 2017YFE0100600).

Corresponding Authors: Run Hu
E-mail: hurun@hust.edu.cn

Cite this article:

Meng Wang(王梦), Shiyao Huang(黄诗瑶), Run Hu(胡润), Xiaobing Luo(罗小兵) Analysis of elliptical thermal cloak based on entropy generation and entransy dissipation approach 2019 Chin. Phys. B 28 087804

[1]	Fan C Z, Gao Y and Huang J P 2008 Appl. Phys. Lett. 92 251907
[2]	Hu R, Xie B, Hu J Y, Chen Q and Luo X B 2015 Europhysics. Lett. 111 54003
[3]	Schittny R, Kadic M, Guenneau S and Wegener M 2013 Phys. Rev. Lett. 110 195901
[4]	He X and Wu L Z 2013 Appl. Phys. Lett. 102 211912
[5]	Ma Y, Lan L, Jiang W, Sun F and He S L 2013 NPG Asia Mater. 5 e73
[6]	Ma H, Qu S B, Xu Z, Zhang J Q and Wang J F 2009 Chin. Phys. B 18 28
[7]	Liu Y D, Cheng Y H, Hu R and Luo X B 2019 Phys. Lett. A. 383 2296
[8]	Kapadia R S and Bandaru P R 2014 Appl. Phys. Lett. 105 233903
[9]	Narayana S and Sato Y 2012 Phys. Rev. Lett. 108 214303
[10]	Hu R, Wei X L, Hu J Y and Luo X B 2015 Sci. Rep. 4 3600
[11]	Guenneau S and Amra C 2013 Opt. Express 21 6578
[12]	Liu Y, Sun F and He S 2016 Opt. Express 24 5683
[13]	Li Y, Shen X, Wu Z and Huang J P 2015 Phys. Rev. Lett. 115 195503
[14]	Hu R, Zhou S L, Li Y, Lei D Y and Luo X B 2018 Adv. Mater. 30 1707237
[15]	Shen X Y and Huang J P 2014 Int. J. Heat. Mass. Transfer 78 1
[16]	Xia G, Kou W, Yang L and Du Y C 2017 Chin. Phys. B 26 104403
[17]	Hu R, Huang S Y, Wang M, Luo X B, Shiomi J and Qiu C W 2019 Adv. Mater. 31 1807849
[18]	Salihoglu O, Uzlu H B, Yakar O, Aas S, Balci O, Kakenov N, Balci S, Olcum S, Suzer S and Kocabas C 2018 Nano. Lett. 18 4541
[19]	Jiang W X, Cui T J, Yu G X, Lin X Q, Cheng Q and Chin J Y 2008 J. Phys. D: Appl. Phys. 41 085504
[20]	Guenneau S, Amra C and Veynante D 2012 Opt. Express 20 8207
[21]	Bejan A 1979 J. Heat. Transfer 101 718
[22]	Bejan A 1997 Int. J. Heat. Mass. Transfer 40 799
[23]	Fang M F and Wang Y Y 2018 Chin. Phys. B 27 114207
[24]	Cheng X T and Liang X G 2013 Int. J. Heat. Mass. Transfer 64 903
[25]	Guo Z Y, Zhu H Y and Liang X G 2007 Int. J. Heat. Mass. Transfer 50 2545
[26]	Chen Q, Zhu H, Pan N and Guo Z Y 2011 Proc. R. Soc. A 467 1012
[27]	Xu G X, Zhang H C, Zou Q and Jin Y 2017 Int. J. Heat. Mass. Transfer 109 746
[28]	Zhang H C, Xu G Q, Yu H Y and Wei Y Q 2017 J. Heat. Transfer 139 054501
[29]	Yang T, Huang L, Chen F and Xu W 2013 J. Phys. D: Appl. Phys. 46 305102
[30]	Cheng X T and Liang X G 2017 Chin. Phys. B 26 120505
[31]	Chen L, Wei S and Sun F 2009 Appl. Phys. 105 094906
[32]	Xu G X, Zhang H C, Zhang X and Jin Y 2017 Entropy 19 538

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Analysis of elliptical thermal cloak based on entropy generation and entransy dissipation approach

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