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首页> 外文期刊>International Journal of Heat and Mass Transfer >Optimal distribution of discrete heat sources on a wall with natural convection
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Optimal distribution of discrete heat sources on a wall with natural convection

机译：自然对流壁上离散热源的最佳分布

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This paper is an application of the constructal method to the discovery of the optimal distribution of discrete heat sources cooled by laminar natural convection. The global objective is to maximize the global conductance between the wall and the fluid, or to minimize the hot-spot temperatures when the total heat generation rate and global system dimensions are specified. Two scenarios are investigated: (ⅰ) a large number of small heat sources mounted on a vertical wall facing a fluid reservoir, and (ⅱ) a small number of finite-size heat sources mounted on the inside of the side wall of a two-dimensional enclosure. It is shown that the optimal distribution is not uniform (the sources are not equidistant), and that as the Rayleigh number increases the heat sources placed near the tip of a boundary layer should have zero spacings. In both (ⅰ) and (ⅱ), the optimal configuration of the wall with discrete sources is generated by the pursuit of maximal global performance subject to global constraints.
机译：本文将构造方法应用于发现层流自然对流冷却的离散热源的最佳分布。总体目标是在指定总热量产生速率和总体系统尺寸时，最大化壁与流体之间的总体电导率，或最小化热点温度。研究了两种情况：（ⅰ）大量小型热源安装在面向储液罐的垂直壁上，以及（ⅱ）少量有限尺寸热源安装在两层流体的侧壁内部尺寸外壳。结果表明，最佳分布不均匀（热源不是等距的），随着瑞利数的增加，位于边界层尖端附近的热源的间距应为零。在（ⅰ）和（ⅱ）中，具有离散源的墙的最佳配置是通过在全局约束下追求最大的全局性能来生成的。

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