Constructal-theory network of conducting paths for cooling a heat generating volume
Constructal-theory network of conducting paths for cooling a heat generating volume
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DOI：
10.1016/0017-9310(96)00175-5
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发表时间：
1997-03-01
影响因子：
5.2
通讯作者：
Bejan, A
中科院分区：
文献类型：
--
作者：
Bejan, A
本文开发了一种解决方案，解决如何在给定尺寸的低电导率体积中收集体积产生的热量并将其“引导”到一点的基本问题。可用于构建穿过体积的通道（高电导率路径）的高电导率材料的量是固定的。总产热量也是固定的。解决方案是通过一系列优化和组织步骤获得的。该序列具有明确的时间方向，它从最小的构建块（基本系统）开始，然后向更大的构建块（组件）发展。每个组件都优化了组件的形状和最新高电导率路径的宽度。结果表明，路径形成了一个树状网络，其中每一个几何细节都是理论上确定的。此外，当时间方向从大元素转向较小元素时，理论上无法确定树形网络。研究还表明，本理论对物理学、生物学和数学具有深远的影响。版权所有 (C) 1996 爱思唯尔科学有限公司
This paper develops a solution to the fundamental problem of how to collect and 'channel' to one point the heat generated volumetrically in a low conductivity volume of given size. The amount of high conductivity material that is available For building channels (high conductivity paths) through the volume is fixed. The total heat generation rate is also fixed. The solutionis obtained as a sequence of optimization and organization steps. The sequence has a definite time direction, it begins with the smallest building block (elemental system) and proceeds toward larger building blocks (assemblies). Optimized in each assembly are the shape of the assembly and the width of the newest high conductivity path. It is shown that the paths form a tree-like network, in which every single geometric detail is determined theoretically. Furthermore, the tree network cannot be determined theoretically when the time direction is reversed, from large elements toward smaller elements. It is also shown that the present theory has far reaching implications in physics, biology and mathematics. Copyright (C) 1996 Elsevier Science Ltd.