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Transformation thermodynamics: cloaking and concentrating heat flux
Sebastien Guenneau1, Claude Amra, Denis Veynante
1Institut Fresnel, UMR CNRS 6133, Aix-Marseille Universite, Campus universitaire de Saint-Jerome, Marseille 13013, France. sebastien.guenneau@fresnel.fr
Abstract:
We adapt tools of transformation optics, governed by a (elliptic) wave equation, to thermodynamics, governed by the (parabolic) heat equation. We apply this new concept to an invibility cloak in order to thermally protect a region (a dead core) and to a concentrator to focus heat flux in a small region. We finally propose a multilayered cloak consisting of 20 homogeneous concentric layers with a piecewise constant isotropic diffusivity working over a finite time interval (homogenization approach).
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