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Article Dans Une Revue Optics Express Année : 2013

Anisotropic conductivity rotates heat fluxes in transient regimes

Sébastien Guenneau
Claude Amra

Résumé

We present a finite element analysis of a diffusion problem involving a coated cylinder enabling the rotation of heat fluxes. The coating consists of a heterogeneous anisotropic conductivity deduced from a geometric transformation in the time dependent heat equation. In contrast to thermal cloak and concentrator, specific heat and density are not affected by the transformation in the rotator. Therein, thermal flux diffuses from region of lower temperature to higher temperature, leading to an apparent negative conductivity analogous to what was observed in transformed thermostatics. When a conducting object lies inside the rotator, it appears as if rotated by certain angle to an external observer, what can be seen as a thermal illusion. A structured rotator is finally proposed inspired by earlier designs of thermostatic and microwave rotators.
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Dates et versions

hal-01281292 , version 1 (01-03-2016)

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  • HAL Id : hal-01281292 , version 1

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Sébastien Guenneau, Claude Amra. Anisotropic conductivity rotates heat fluxes in transient regimes. Optics Express, 2013, 21 (5), pp.6578-6583. ⟨hal-01281292⟩
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