Conduction trees with spacings at the tips

被引:80
作者
Almogbel, M [1 ]
Bejan, A [1 ]
机构
[1] Duke Univ, Dept Mech Engn & Mat Sci, Durham, NC 27708 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0017-9310(99)00051-4
中图分类号
O414.1 [热力学];
学科分类号
摘要
This paper documents two methods of improving the performance of volume-to-point tree networks for two-dimensional heat conduction. These improvements are offered relative to the design produced by the constructal method, in which optimized volume elements (building blocks) are presented and grouped into larger constructs, which are also optimized. The first improvement is that each construct is optimized with respect to all its degrees of freedom: unlike in the constructal method, the optimized features of the smaller building blocks are not preserved during the optimization of the construct. The second improvement opportunity is that spacings are allowed between the facing tips of neighboring high-conductivity inserts. All such spacings are optimized. Another new direction pursued in this paper is the optimization of tree networks that must fill a volume with prescribed external shape (e.g., square, or disk). The designs optimized numerically in this paper lower the volume-to-point resistance beyond the levels achieved based on the constructal method, and bring the shape of the conduction tree closer to the shapes seen in nature. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:3739 / 3756
页数:18
相关论文
共 15 条
[1]  
ANAND NK, 1992, J HEAT TRANSFER, V114, P525
[3]   Streets tree networks and urban growth: Optimal geometry for quickest access between a finite-size volume and one point [J].
Bejan, A ;
Ledezma, GA .
PHYSICA A, 1998, 255 (1-2) :211-217
[4]   Constructal theory of natural crack pattern formation for fastest cooling [J].
Bejan, A ;
Ikegami, Y ;
Ledezma, GA .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1998, 41 (13) :1945-1954
[5]  
Bejan A., 1997, ADV ENG THERMODYNAMI, V2nd
[6]   Constructal tree networks for the time-dependent discharge of a finite-size volume to one point [J].
Dan, N ;
Bejan, A .
JOURNAL OF APPLIED PHYSICS, 1998, 84 (06) :3042-3050
[7]   Deterministic tree networks for river drainage basins [J].
Errera, MR ;
Bejan, A .
FRACTALS-AN INTERDISCIPLINARY JOURNAL ON THE COMPLEX GEOMETRY OF NATURE, 1998, 6 (03) :245-261
[8]  
*FLUID DYN INT, 1993, FIDAP THEOR MAN 70
[9]   LAMINAR DEVELOPING FLOW AND HEAT-TRANSFER BETWEEN A SERIES OF PARALLEL PLATES WITH SURFACE MOUNTED DISCRETE HEAT-SOURCES [J].
KIM, SH ;
ANAND, NK .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1994, 37 (15) :2231-2244
[10]  
KNIGHT RW, 1991, J ELECTRON PACKAGING, V113, P313, DOI DOI 10.1115/1.2905412]