Double tree structure in a conducting body

In this paper we consider the fundamental problem of how to design the spacing between two plane and parallel tree structures buried in and transferring heat to a conducting medium. The Y and T tree-shaped structures are configured as two palms facing each other. The search for the optimal spacing i...

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Veröffentlicht in:International journal of heat and mass transfer Jg. 77; S. 140 - 146
Hauptverfasser: Kobayashi, H., Maeno, T., Lorente, S., Bejan, A.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier 01.10.2014
Schlagworte:
Bifurcations
Boundaries
Civil Engineering
Conduction
Cubes
Engineering Sciences
Mass transfer
Optimization
Palm
Trees
Heat pump
Ground coupled
systems
wells
Tree structure
Constructal
Vascular design
heat-exchanger
ISSN:0017-9310
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Zusammenfassung:In this paper we consider the fundamental problem of how to design the spacing between two plane and parallel tree structures buried in and transferring heat to a conducting medium. The Y and T tree-shaped structures are configured as two palms facing each other. The search for the optimal spacing is pursued in solid domains with three sizes. First, we studied a cube where the tree palms structure grow to the second level bifurcation. Second and third, we considered a small cube and a large cube where the tree structure consists of just the first level bifurcation. The results show that the best spacing between palms is half of the side of the cube, in order to avoid the interference between the two tree and adiabatic boundaries of the cube in which the trees structures are embedded. The spacing is possible to optimize, without being affected by the shape of the structure, the bifurcation level of the structure and the size of cube. The decision of optimal spacing is not affected by changes in the volume fraction occupied by tree structure in the conducting body.
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ISSN:0017-9310
DOI:10.1016/j.ijheatmasstransfer.2014.04.072