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首页> 外文期刊>Journal of Heat Transfer >Optimal Distribution of Heat Sources in Convergent Channels Cooled by Laminar Forced Convection
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Optimal Distribution of Heat Sources in Convergent Channels Cooled by Laminar Forced Convection

机译：层流强迫对流冷却的会聚通道中热源的最优分布

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摘要

The constructal theory is applied to the flow in a convergent channel. The primary goals of this work are to analyze the heat source distribution and generalize the formula concerning such configurations, to study the spacing between consecutive elements, and to verify the analysis by comparing the proposed configuration with numerical simulations. The results show that nonuniform distributions enhance the performance of the system by allowing the heat source element to work near its maximum condition. Furthermore, the optimal distribution occurs when the heat sources are placed closer to each other near the leading edge of the channel. While the literature shows that the spacing between any consecutive element increases as the sources move downstream from the leading edge, the present results proved that such conclusions are restricted, depending on the ratio of outlet to inlet freestream velocity. Accordingly, the spacing has a maximum value when the exit freestream velocity is more than twice that of the inlet. For design issues, the study also addresses the minimum heat required to achieve optimal system performance. The results show that the amount of heat needed by the system to work close to its optimal performance varies exponentially with the convergent angle and increases with the increase in the heating element's width. The comparison of the present distribution of the heat source elements with a regular one (fixed spacing) is performed numerically to demonstrate the efficiency of the proposed configuration. The results show that the present model forces the system to work more efficiently than the uniform distribution.
机译：构造理论被应用于收敛通道中的流动。这项工作的主要目的是分析热源分布并推广有关这种构型的公式，研究连续元件之间的间距，并通过将所提出的构型与数值模拟进行比较来验证分析。结果表明，不均匀的分布通过允许热源元件在其最大状态附近工作来增强系统的性能。此外，当热源在通道的前边缘附近彼此靠近放置时，发生最佳分布。虽然文献表明，任何连续元素之间的间距随着源从前缘向下游移动而增加，但本结果证明，根据出口与入口自由流速度之比，此类结论受到限制。因此，当出口自由流速度大于入口速度的两倍时，该间隔具有最大值。对于设计问题，研究还解决了实现最佳系统性能所需的最低热量。结果表明，系统接近其最佳性能所需的热量随会聚角呈指数变化，并随加热元件宽度的增加而增加。以数值方式对热源元件的当前分布与规则的一个（固定间距）进行比较，以证明所提出配置的效率。结果表明，该模型强制系统比均匀分布更有效地工作。

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