An Active Thermal Cloak Suitable for Symmetrical Cross Sections

doi:10.19596/j.cnki.1001-246x.8152

Abstract

Abstract: A method of directly solving the heat conduction equation is used to numerically study a controllable thermal cloaking technology with adaptive heat source.We explore heat flow control method and cloaking effect,and deduce general solution of distribution of adaptive heat source in the thermal cloak region with two-dimensional arbitrary symmetrical section under uniform background. Simulation results show that for a cloak with arbitrary symmetrical section,the adaptive heat source makes disturbed temperature field turn to the background temperature field and achieves the purpose of thermal cloaking.

Key words: adaptive heat source, thermal cloak, symmetric section, active control

CLC Number:

TK124

LIU Yang, DUAN Yang, XU Guoliang, HUANG Xiaoming, CHEN Xintao. An Active Thermal Cloak Suitable for Symmetrical Cross Sections[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(6): 718-724.

References

[1] SHEN X Y,HUANG J P. Thermally hiding an object inside a cloak with feeling[J]. International Journal of Heat and Mass Transfer,2014,78:1-6.
[2] YANG S,XU L,HUANG J. Thermal magnifier and external cloak in ternary component structure[J]. Journal of Applied Physics,2019,125(5):055103.
[3] LI Y,ZHU K J,PENG Y G,et al. Thermal meta-device in analogue of zero-index photonics[J]. Nature Materials,2019,18(1):48.
[4] HAN T,ZHAO J,YUAN T,et al. Theoretical realization of an ultra-efficient thermal-energy harvesting cell made of natural materials[J]. Energy & Environmental Science,2013,6(12):3537-3541.
[5] SHEN X,LI Y,JIANG C,et al. Thermal cloak-concentrator[J]. Applied Physics Letters,2016,109(3):031907.
[6] SHEN X,LI Y,HUANG J,et al. Intelligent thermal cloak-concentrators[J]. arXiv preprint arXiv:1506.01532,2015.
[7] NARAYANA S,SATO Y. Heat flux manipulation with engineered thermal materials[J]. Physical Review Letters,2012,108(21):214303.
[8] GUENNEAU S,AMRA C. Anisotropic conductivity rotates heat fluxes in transient regimes[J]. Optics Express,2013,21(5):6578-6583.
[9] ZHOU L,HUANG S,WANG M,et al. While rotating while cloaking[J]. Physics Letters A,2019,383(8):759-763.
[10] HU R,ZHOU S,LI Y,et al. Illusion thermotics[J]. Advanced Materials,2018,30(22):1707237.
[11] XU L,HUANG J. A transformation theory for camouflaging arbitrary heat sources[J]. Physics Letters A,2018,382(46):3313-3316.
[12] WANG J,BI Y,HOU Q. Three-dimensional illusion thermal device for location camouflage[J]. Scientific Reports,2017,7(1):7541.
[13] SCHITTNY R,KADIC M,GUENNEAU S,et al. Experiments on transformation thermodynamics:Molding the flow of heat[J]. Physical Review Letters,2013,110(19):195901.
[14] LI J Y,GAO Y,HUANG J P. A bifunctional cloak using transformation media[J]. Journal of Applied Physics,2010,108(7):074504.
[15] HE X,WU L. Design of two-dimensional open cloaks with finite material parameters for thermodynamics[J]. Applied Physics Letters,2013,102(21):211912.
[16] GUENNEAU S,AMRA C,VEYNANTE D. Transformation thermodynamics:Cloaking and concentrating heat flux[J]. Optics Express,2012,20(7):8207-8218.
[17] MA Y,LAN L,JIANG W,et al. A transient thermal cloak experimentally realized through a rescaled diffusion equation with anisotropic thermal diffusivity[J]. NPG Asia Materials,2013,5(11):e73.
[18] HAN T,BAI X,GAO D,et al. Experimental demonstration of a bilayer thermal cloak[J]. Physical Review Letters,2014,112(5):054302.
[19] XU H,SHI X,GAO F,et al. Ultrathin three-dimensional thermal cloak[J]. Physical Review Letters,2014,112(5):054301.
[20] GAO Y,HUANG J P. Unconventional thermal cloak hiding an object outside the cloak[J]. Europhysics Letters,2013,104(4):44001.
[21] KANG S,CHA J,SEO K,et al. Temperature-responsive thermal metamaterials enabled by modular design of thermally tunable unit cells[J]. International Journal of Heat and Mass Transfer,2019,130:469-482.
[22] SHEN X,LI Y,JIANG C,et al. Thermal cloak-concentrator[J]. Applied Physics Letters,2016,109(3):031907.
[23] NGUYEN D M,XU H,ZHANG Y,et al. Active thermal cloak[J]. Applied Physics Letters,2015,107(12):121901.
[24] WANG N,DONG G,YANG Y,et al. Thermoelectric analysis of interconnect considering via and fringing effects[J]. Chinese Journal of Computational Physics,2012,29(1):108-114.
[25] WANG W,ZHAO G,WANG S. First-principles study of thermoelectric transport properties of β-antimonene[J]. Chinese Journal of Computational Physics,2018,35(3):365-372.
[26] GUO J,QU Z G. Thermal cloak with adaptive heat source to proactively manipulate temperature field in heat conduction process[J]. International Journal of Heat and Mass Transfer,2018,127:1212-1222.
[27] SHAO Y,HE K,ZHOU Y,et al. Inversion of surface heat flux in two-dimensional variable geometry heat conduction[J]. Chinese Journal of Computational Physics,2013,30(4):534-540.
[28] WU Z,LI F,DO Y K. Least squares regularized method for one-dimensional source inverse heat conduction problem[J]. Chinese Journal of Computational Physics,2016,33(1):49-56.