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首页> 外文期刊>International Journal of Heat and Mass Transfer >Closed form correlations for thermal optimization of plate-fin heat sinks under natural convection
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Closed form correlations for thermal optimization of plate-fin heat sinks under natural convection

机译：自然对流下板翅式散热器热优化的闭合形式相关性

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摘要

In the present paper, closed form correlations that allow for thermal optimization of vertical plate-fin heat sinks under natural convection in a fully-developed-flow regime are suggested. Analytical solutions for velocity and temperature distributions for high channel aspect ratios, high conductivity ratios, and low Rayleigh numbers are presented using the volume averaging approach. To validate the analytical solutions, both experimental and numerical studies are performed, and it is shown that the analytical solutions are applicable to the range of H/w_c » 1, k_s/k_f > 10, and Ra" < 1000. From the analytical solutions, explicit correlations for optimal fin thickness and optimal channel width, which minimize thermal resistance for given height, width, and length of heat sink, are proposed. The correlations show that the optimal fin thickness depends on the height, the solid conductivity, and the fluid conductivity only and is independent of the Rayleigh number, the viscosity of the fluid, and the length of the heat sink.
机译：在本文中，提出了封闭形式的相关性，该相关性允许在完全发展的流动状态下自然对流下垂直板翅式散热器的热优化。使用体积平均方法提出了高通道长宽比，高电导率和低瑞利数的速度和温度分布的解析解。为了验证该解析解，进行了实验和数值研究，结果表明该解析解适用于H / w_c»1，k_s / k_f> 10和Ra“ <1000的范围。提出了最佳翅片厚度和最佳通道宽度的显式相关关系，该关系使给定高度，宽度和长度的散热器的热阻最小，该相关关系表明，最佳翅片厚度取决于高度，固体导电率和导热系数。仅流体传导性，与瑞利数，流体粘度和散热片长度无关。

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