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RESEARCH PAPERS: Forced Convection

Constructal Design of Cooling Channel in Heat Transfer System by Utilizing Optimality of Branch Systems in Nature

[+] Author and Article Information
Xiaohong Ding1

Department of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, Chinaxhding @vip.citiz.net

Koetsu Yamazaki

Department of Human & Mechanical Systems Engineering, Kanazawa University, Kanazawa 920-1192 Japan

1

Corresponding author.

J. Heat Transfer 129(3), 245-255 (Oct 17, 2005) (11 pages) doi:10.1115/1.2426357 History: Received August 12, 2004; Revised October 17, 2005

There are similarities between the morphology of branch systems in nature and the layout of cooling channel in heat transfer system in engineering. The branch systems in nature always grow in such a way that approximate global optimal performances can be achieved. By utilizing the optimality of branch systems in nature, an innovative layout design methodology of cooling channel in heat transfer system is suggested in this paper. The emergent process of branch systems in nature is reproduced according to their common growth mechanisms. Branches are grown under the control of a so-called nutrient density so as to make it possible for the distribution of branches to be dependent on the nutrient distribution. The growth of branches also satisfies the hydrodynamic conditions and the minimum energy loss principle. If the so-called nutrient density in the generation process of branch systems is referred to as the heat energy in a heat transfer system, the distribution of branches is responsible for the distribution of cooling channels. Having similar optimality of branch systems in nature, the constructed cooling channel can be designed flexibly and effectively in any shape of perfusion volume to be cooled adaptively to very complex thermal boundary conditions. The design problems of both a conductive cooling channel and a convective cooling channel are studied, and the layouts of two-dimensional and three-dimensional cooling channels are illustrated. The cooling performances of the designed heat transfer systems are discussed by the finite element method analysis and are compared with the results designed by other conventional design methods.

Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

A fluid flow between a point and a finite-size volume

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Figure 2

Geometry of a dichotomous branch system

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Figure 3

Emergent process of a branch system generated on a circular perfusion area with uniform nutrient density

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Figure 4

Emergent process of a branch system generated on a circular perfusion area with nonuniform nutrient density

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Figure 5

Local growth space in two-dimensional perfusion area

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Figure 6

Branch systems resulted from different local growth space ratios (LGSR)

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Figure 7

Branch systems resulted from different pseudo random number sequences (PRNS)

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Figure 10

Branch system generated in a half spherical surface

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Figure 11

FEM model and temperature field of a circular plate with a natural branch-like conductive cooling channel under uniform heat-generating rate

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Figure 12

FEM model and temperature field of a circular plate with a natural branch-like conductive cooling channel under nonuniform heat-generating rate

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Figure 13

Analysis model of a circular plate with a convective cooling channel

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Figure 14

FEM models and temperature fields of heat transfer systems with branch-like convective cooling channels resulted from different branching laws

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Figure 15

FEM model and temperature field of heat transfer system with branch-like convective cooling channel applied non-uniformly distributed heat flux

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Figure 16

Analysis model of a spherical surface shell with a branch-like convective cooling channel

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Figure 17

FEM model and temperature field of a spherical shell with branch-like convective cooling channel

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Figure 18

Comparison of horizontal–vertical tree-like and natural branch-like conductive cooling channel

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Figure 8

Branch systems resulted from different branching laws

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Figure 19

Comparison of horizontal–vertical tree-like and natural branch-like convective cooling channel

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Figure 9

Branch system generated on a rectangular perfusion area with nonuniformly distributed nutrition density

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