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THERMAL PERFORMANCE OF SIERPINSKI CARPET FRACTAL FINS IN A FORCED CONVECTION ENVIRONMENT

机译:强制对流环境中Sierpinski地毯分形鳍片的热性能

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When certain fractal geometries are used in the design of fins or heat sinks the surface area available for heat transfer can be increased while system mass can be simultaneously decreased. The Sierpinski carpet fractal pattern, when utilized in the design of an extended surface, can provide more effective heat dissipation while simultaneously reducing mass. In order to assess the thermal performance of fractal fins for application in the thermal management of electronic devices an experimental investigation was performed. The first four fractal iterations of the Sierpinski carpet pattern, used in the design of extended surfaces, were examined in a forced convection environment. The thermal performance of the Sierpinski carpet fractal fins was quantified by the following performance metrics: efficiency, effectiveness, and effectiveness per unit mass. The fractal fins were experimentally examined in a thermal testing tunnel for a range of Reynolds numbers. As the Reynolds number increased, the fin efficiency, effectiveness and effectiveness per unit mass were found to decrease. However, as the Reynolds number increased the Nusselt number was found to similarly increase due to higher average heat transfer coefficients. The fourth iteration of the fractal pattern resulted in a 6.73% and 70.97% increase in fin effectiveness and fin effectiveness per unit mass when compared with the zeroth iteration for a Reynolds number of 6.5E3. However, the fourth iteration of the fractal pattern resulted in a 1.93% decrease in fin effectiveness and 57.09% increase in fin effectiveness per unit mass when compared with the zeroth iteration for a Reynolds number of 1.3E4. The contribution of thermal radiation to the rate of heat transfer was as high as 62.90% and 33.69% for Reynolds numbers of 6.5E3 and 1.3E4 respectively.
机译:当某些分形几何形状用于翅片或散热器的设计中时,可以增加用于传热的表面积,而系统质量可以同时降低。谢尔宾斯基地毯分形图案,当在延伸表面的设计中使用,可以提供更有效的散热的同时,减少质量。为了评估用于应用在电子设备的热管理中的分形鳍片的热性能,进行实验研究。在强制对流环境中检查了在扩展表面设计中使用的Sierpinski地毯图案的前四个分形迭代。通过以下性能度量:每单位质量的效率,有效性和有效性量化Sierpinski地毯分形鳍片的热性能。在热试验隧道中经过实验检查的分形翅片,用于一系列雷诺数。随着雷诺数的增加,发现每单位质量的鳍效率,有效性和有效性降低。然而,由于雷诺数增加了何时发现纽带数量由于较高的平均传热系数而同样增加。与雷诺数为6.5E3的Zeroth迭代相比,分形图案的第四次分形式和每单位质量的零件效果增加了6.73%和70.97%。然而,与雷诺数为1.3E4的Zeroth迭代相比,分形模式的第四次迭代导致翅片效果的减少1.93%,每单位质量增加57.09%。热辐射与传热速率的贡献分别高达62.90%和33.69%,分别为6.5e3和1.3e4。

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