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Mathematical Extrapolating of Highly Efficient Fin Systems

机译：高效鳍片系统的数学外推

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摘要

Different high-performance fins are mathematically analyzed in this work. Initially, three types are considered: (i) exponential, (ii) parabolic, and (iii) triangular fins. Analytical solutions are obtained. Accordingly, the effective thermal efficiency and the effective volumetric heat dissipation rate are calculated. The analytical results were validated against numerical solutions. It is found that the triangular fin has the maximum effective thermal length. In addition, the exponential pin fin is found to have the largest effective thermal efficiency. However, the effective efficiency for the straight one is the maximum when its effective thermal length based on profile area is greater than 1.4. Furthermore, the exponential straight fin is found to have effective volumetric heat dissipation that can be 440% and 580% above the parabolic and triangular straight fins, respectively. In contrast, the exponential pin fin is found to possess effective volumetric heat dissipation that can be 120% and 132% above the parabolic and triangular pin fins, respectively. Finally, new high performance fins are mathematically generated that can have effective volumetric heat dissipation of 24% and 12% above those of exponential pin and straight fins, respectively.
机译：在这项工作中，对不同的高性能散热片进行了数学分析。最初考虑三种类型：（i）指数型，（ii）抛物线型和（iii）三角鳍。获得分析溶液。因此，计算出有效的热效率和有效的体积散热率。分析结果针对数值解进行了验证。发现三角形鳍片具有最大有效热长度。另外，发现指数引脚鳍具有最大的有效热效率。但是，当直线型的有效热长度（基于轮廓面积）大于1.4时，其效率最高。此外，发现指数型直翅片具有有效的体积散热，分别比抛物线形和三角形直翅片高440％和580％。相反，发现指数销翅片具有有效的体积散热，分别比抛物线和三角形销翅片高120％和132％。最后，通过数学方式生成了新的高性能散热片，它们的有效体积散热量分别比指数销和直翅片高24％和12％。

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  • 来源
    《Mathematical Problems in Engineering》 |2011年第3期|p.1-18|共18页
  • 作者

    A.-R. A. Khaled;

  • 作者单位

    Thermal Engineering and Desalination Technology Department, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia;

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