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Optimal Ground Tube Length for Cooling of Electronics Shelters

机译：最佳的接地管长度，用于冷却电子柜

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This paper presents a theoretical, numerical, and experimental study to investigate the possibility of optimizing the configuration (geometry) of underground heat exchangers for maximum heat transfer. The first part of the study identifies a novel fundamental optimization principle for maximizing heat transfer between a tube and its surroundings, which is expected to be present in any buried tube heat exchanger design. The second part presents a practical application of the fundamental principle: a simplified physical model to determine the temperature field inside an electronics shelter that uses an earth-air heat exchanger and the soil as a heat sink. A volume elements methodology is employed to obtain a system of ordinary differential equations with time as the independent variable that combines principles of classical thermodynamics and heat transfer. This allows the computation of the temperature and relative humidity fields at every instant inside the shelter. The numerical results obtained with the proposed model are validated by means of direct comparison with experimental temperature and relative humidity measurements. It is shown that the tube length can be optimized such that the maximum temperature reached inside the shelter is minimal. The results also demonstrate the potential of the utilization of buried tubes for cooling electronic packages. Since accuracy and low computational time are combined, the model is shown to be efficient and could be used as a tool for simulation, design, and optimization of electronic packages cooled by underground heat exchangers.
机译：本文提出了理论，数值和实验研究，以研究优化地下热交换器的结构（几何形状）以实现最大热量传递的可能性。研究的第一部分确定了一种新颖的基本优化原理，用于最大化管及其周围环境之间的热传递，这有望在任何埋管式热交换器设计中出现。第二部分介绍了基本原理的实际应用：一种简化的物理模型，用于确定电子围栏内部的温度场，该电子围栏使用地球空气热交换器和土壤作为散热器。采用体积元方法来获得以时间为独立变量的常微分方程组，该系统结合了经典热力学和传热原理。这允许在遮蔽室内的每个瞬间计算温度和相对湿度场。通过与实验温度和相对湿度测量值的直接比较，验证了所提出模型获得的数值结果。结果表明，可以优化管的长度，以使遮蔽物内部达到的最高温度最小。结果还证明了利用埋管冷却电子封装的潜力。由于结合了准确性和低计算时间，该模型被证明是有效的，可以用作模拟，设计和优化由地下热交换器冷却的电子封装的工具。

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