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arXiv · 1508.05081

Thermal concentrator homogenized with solar-shaped mantle

David Petiteau·Sebastien Guenneau·Michel Bellieud·Myriam Zerrad·Claude Amra
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Abstract

We propose solar-shaped thermal concentrators designed with orthoradial layers and obtained in practice through the homogenization of an ideal thermal concentrator. Considering the spectral regime of the heat equation, we quantitatively evaluate at different pulsations the effectiveness of the homogenized concentrators by comparing the thermal flux existing in an ideal concentrator and the thermal flux in an homogenized concentrator. Dependence on the pulsation is shown to be negligible and plotting the effectiveness of the homogenized concentrators as a function of the number of orthoradial layers $N$, we determine the number of layers needed to achieve a certain effectiveness. Significantly high numbers $N$(ranging from a hundred to tens of thousands layers) are found highlighting the fact that achieving high effectiveness demands a high level of engineering of the homogenized concentrator.

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David Petiteau, Sebastien Guenneau, Michel Bellieud, Myriam Zerrad, Claude Amra. 2015-08-07. Thermal concentrator homogenized with solar-shaped mantle. https://arxiv.org/abs/1508.05081

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