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A new perspective of constructal networks cooling a finite-size volume generating heat

Abstract : Constructal theory has been used in several scientific fields since it has been established a decade ago. It mainly treats of the "area to point" flow problem, which has been first-written in the frame of the cooling of a finite-size volume generating heat. This problem, widely discussed in literature, has been optimized thanks to constructal theory formulated by Bejan, with a deterministic approach. However, some of the physical and mathematical assumptions made to simplify the problem are questionable, especially the ones regarding the high-conductivity material constituting the tree-shaped structure. In this paper, the performances of constructal designs are evaluated using a finite volume method, which allows making a comparison between different constructal geometries. An algorithm has been developed which has the ability for restraining constructal networks inside a finite-size area, without overconstraining the structure. All things considered, this paper examines constructal theory from a new point of view thanks to analytical and numerical investigations, in the frame of a finite-size volume generating heat.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00769580
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Submitted on : Wednesday, January 2, 2013 - 1:40:18 PM
Last modification on : Monday, September 20, 2021 - 11:38:13 AM

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Gilles Marck, Jean-Luc Harion, Maroun Nemer, Serge Russeil, Daniel Bougeard. A new perspective of constructal networks cooling a finite-size volume generating heat. Energy Conversion and Management, Elsevier, 2011, 52 (2), pp.1033-1046. ⟨10.1016/j.enconman.2010.08.032⟩. ⟨hal-00769580⟩

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