Thermal hose is capable of transferring the thermal energy of a finite source to arbitrary long distance. This is achieved by using stretching transformation and can be ideally constructed by using a material with a highly anisotropic thermal conductivity. For practical realization, such a thermal hose can be made of homogeneous conductors in bilayer configurations, employing only copper and expanded polystyrene. It is shown that the thermal energy can be well confined and almost perfectly transferred in an arbitrarily bending hose, demonstrating excellent flexibility. More interestingly is that, when a point heat source is placed at the opening of a split-ring-shaped hose, the temperature of the inner region becomes uniform and reaches nearly as high as the heat source. These novel properties of the proposed flexible thermal hose have been numerically validated in time-dependent case, showing excellent transfer and configuration of thermal energy.
2. Hassenzahl, W. V., D.W. Hazelton, B. K. Johnson, P. Komarek, M. Noe, and C. T. Reis, "Electric power applications of superconductivity," Proceedings of the IEEE, Vol. 92, 1655-1674, 2004.
doi:10.1109/JPROC.2004.833674
3. Stewart, G. R., "Superconductivity in iron compounds," Rev. Mod. Phys., Vol. 83, 1589-1652, 2011.
doi:10.1103/RevModPhys.83.1589
4. Pendry, J. B., D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science, Vol. 312, 1780-1782, 2006.
doi:10.1126/science.1125907
5. Schurig, D., J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science, Vol. 314, 977-980, 2006.
doi:10.1126/science.1133628
6. Ma, H. and T. J. Cui, "Three-dimensional broadband ground-plane cloak made of metamaterials," Nat. Commun., Vol. 1, 21, 2010.
7. Ergin, T., N. Stenger, P. Brenner, J. B. Pendry, and M. Wegener, "Three-dimensional invisibility cloak at optical wavelengths," Science, Vol. 328, 337-339, 2010.
doi:10.1126/science.1186351
8. Landy, N. and D. R. Smith, "A full-parameter unidirectional metamaterial cloak for microwaves," Nat. Mater., Vol. 12, 25-28, 2013.
doi:10.1038/nmat3476
9. Liu, Z., H. Lee, Y. Xiong, C. Sun, and X. Zhang, "Far-field optical hyperlens magnifying sub-diffraction-limited objects," Science, Vol. 315, 1686, 2007.
doi:10.1126/science.1137368
10. Chen, H., B. Hou, S. Chen, X. Ao, W. Wen, and C. T. Chan, "Design and experimental realization of a broadband transformation media field rotator at microwave frequencies," Phys. Rev. Lett., Vol. 102, 183903, 2009.
doi:10.1103/PhysRevLett.102.183903
11. Chen, H. and C. T. Chan, "Acoustic cloaking in three dimensions using acoustic metamaterials," Appl. Phys. Lett., Vol. 91, 183518, 2007.
doi:10.1063/1.2803315
12. Zhang, S., C. Xia, and N. Fang, "Broadband acoustic cloak for ultrasound waves," Phys. Rev. Lett., Vol. 106, 024301, 2011.
doi:10.1103/PhysRevLett.106.024301
13. Greenleaf, A., Y. Kurylev, M. Lassas, and G. Uhlmann, "Isotropic transformation optics: approximate acoustic and quantum cloaking," New J. Phys., Vol. 10, 115024, 2008.
doi:10.1088/1367-2630/10/11/115024
14. Zhang, S., D. A. Genov, C. Sun, and X. Zhang, "Cloaking of matter waves," Phys. Rev. Lett., Vol. 100, 123002, 2008.
doi:10.1103/PhysRevLett.100.123002
15. Brun, M., S. Guenneau, and A. B. Movchan, "Achieving control of in-plane elastic waves," Appl. Phys. Lett., Vol. 94, 061903, 2009.
doi:10.1063/1.3068491
16. Gomory, F., M. Solovyov, J. Souc, C. Navau, J. Prat-Camps, and A. Sanchez, "Experimental realization of a magnetic cloak," Science, Vol. 335, 1466-1468, 2012.
doi:10.1126/science.1218316
17. Narayana, S. and Y. Sato, "DC magnetic cloak," Adv. Mater., Vol. 24, 71-74, 2012.
doi:10.1002/adma.201104012
18. Yang, F., Z. Mei, T. Jin, and T. J. Cui, "dc electric invisibility cloak," Phys. Rev. Lett., Vol. 109, 053902, 2012.
doi:10.1103/PhysRevLett.109.053902
19. Milton, G. W., M. Briane, and J. R. Willis, "On cloaking for elasticity and physical equations with a transformation invariant form," New J. Phys., Vol. 8, 248, 2006.
doi:10.1088/1367-2630/8/10/248
20. Fan, C., Y. Gao, and J. Huang, "Shaped graded materials with an apparent negative thermal conductivity," Appl. Phys. Lett., Vol. 92, 251907, 2008.
doi:10.1063/1.2951600
21. Chen, T., C. N. Weng, and J. S. Chen, "Cloak for curvilinearly anisotropic media in conduction," Appl. Phys. Lett., Vol. 93, 114103, 2008.
doi:10.1063/1.2988181
22. Li, J., Y. Gao, and J. Huang, "A bifunctional cloak using transformation media," J. Appl. Phys., Vol. 108, 074504, 2010.
doi:10.1063/1.3490226
23. Guenneau, S., C. Amra, and D. Veynante, "Transformation thermodynamics: Cloaking and concentrating heat flux," Opt. Express, Vol. 20, 8207-8218, 2012.
doi:10.1364/OE.20.008207
24. Schittny, R., M. Kadic, S. Guenneau, and M. Wegener, "Experiments on transformation thermodynamics: Molding the flow of heat," Phys. Rev. Lett., Vol. 110, 195901, 2013.
doi:10.1103/PhysRevLett.110.195901
25. Ma, Y., L. Lan, W. Jiang, F. Sun, and S. He, "A transient thermal cloak experimentally realized through a rescaled diffusion equation with anisotropic thermal diffusivity," NPG Asia Materials, Vol. 5, e73, 2013.
doi:10.1038/am.2013.60
26. Han, T., T. Yuan, B. Li, and C.-W. Qiu, "Homogeneous thermal cloak with constant conductivity and tunable heat localization," Sci. Rep., Vol. 3, 1593, 2013.
27. Narayana, S. and Y. Sato, "Heat flux manipulation with engineered thermal materials," Phys. Rev. Lett., Vol. 108, 214303, 2012.
doi:10.1103/PhysRevLett.108.214303
28. Dede, E. M., T. Nomura, P. Schmalenberg, and J. S. Lee, "Heat flux cloaking, focusing, and reversal in ultra-thin composites considering conduction-convection effects," Appl. Phys. Lett., Vol. 103, 063501, 2013.
doi:10.1063/1.4816775
29. Han, T., X. Bai, D. Gao, J. T. Thong, B. Li, and C. W. Qiu, "Experimental demonstration of a bilayer thermal cloak," Phys. Rev. Lett., Vol. 112, 054302, 2014.
doi:10.1103/PhysRevLett.112.054302
30. Xu, H., X. Shi, F. Gao, H. Sun, and B. Zhang, "Ultrathin three-dimensional thermal cloak," Phys. Rev. Lett., Vol. 112, 054301, 2014.
doi:10.1103/PhysRevLett.112.054301
31. Nguyen, D. M., H. Xu, Y. Zhang, and B. Zhang, "Active thermal cloak," Appl. Phys. Lett., Vol. 107, 121901, 2015.
doi:10.1063/1.4930989
32. Han, T., X. Bai, D. Liu, D. Gao, B. Li, J. T. Thong, and C. W. Qiu, "Manipulating steady heat conduction by sensu-shaped thermal metamaterials," Sci. Rep., Vol. 5, 10242, 2015.
doi:10.1038/srep10242
33. Navau, C., J. Prat-Camps, O. Romero-Isart, J. I. Cirac, and A. Sanchez, "Long-distance transfer and routing of static magnetic fields," Phys. Rev. Lett., Vol. 112, 253901, 2014.
doi:10.1103/PhysRevLett.112.253901
34. Prat-Camps, J., C. Navau, and A. Sanchez, "A magnetic wormhole," Sci. Rep., Vol. 5, 12488, 2015.
doi:10.1038/srep12488
35. Qiu, C.-W., L. Hu, X. Xu, and Y. Feng, "Spherical cloaking with homogeneous isotropic multilayered structures," Phys. Rev. E, Vol. 79, 047602, 2009.
doi:10.1103/PhysRevE.79.047602
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