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首页> 外文期刊>International Journal of Heat and Mass Transfer >Designed porous media: maximal heat transfer density at decreasing length scales
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Designed porous media: maximal heat transfer density at decreasing length scales

机译：设计的多孔介质：长度递减时的最大传热密度

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摘要

This paper addresses the fundamental problem of maximizing the heat transfer rate density in a fixed volume in the limit of decreasing length scales. In this limit boundary layers disappear, optimized channels are no longer slender, and existing results for optimal spacings break down. Three configurations are optimized analytically based on the intersection of asymptotes method: volumes filled with parallel-plates channels, volumes filled with uniformly distributed spheres, and volumes filled with parallel plates and porous structure in each parallel-plates channel. The small-spacings asymptote is for slow Poiseuille and, respectively, Darcy flow. The large-spacings asymptote is based on heat transfer that approaches pure conduction around bodies immersed in a stationary medium. The geometric results are the optimal flow channel size, the optimal porosity of the assembly, and the maximized heat transfer rate density. The latter increases sharply as dimensions become smaller. This trend, and the method of optimizing flow architecture to achieve maximal heat transfer density, are essential in the continuing miniaturization of heat transfer devices.
机译：本文提出了一个基本问题，即在减小长度范围的限制下最大化固定体积内的传热速率密度。在此极限边界层消失，优化的通道不再细长，并且最佳间距的现有结果崩溃了。根据渐近线相交方法，对三种配置进行了分析优化：填充有平行板通道的体积，填充有均匀分布的球体的体积以及填充有平行板和每个平行板通道中的多孔结构的体积。小间距渐近线分别适用于缓慢的Poiseuille和Darcy流。大间距渐近线是基于热传递，该热传递围绕沉浸在固定介质中的物体周围的纯传导。几何结果是最佳的流道尺寸，最佳的组件孔隙率以及最大的传热速率密度。随着尺寸变小，后者急剧增加。这种趋势以及优化流动结构以实现最大传热密度的方法，对于传热设备的持续小型化至关重要。

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