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Thermal Analysis and Optimization of Orthotropic Pin Fins: A Closed-Form Analytical Solution

机译:正交各向异性销鳍的热分析和优化:一种封闭形式的解析解

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摘要

Analytical solutions for temperature distribution, heat transfer rate, and fin efficiency and fin effectiveness are derived and presented for orthotropic two-dimensional pin fins subject to convective-tip boundary condition. The generalized results are presented and discussed in terms of dimensionless variables such as radial and axial Biot numbers (Bi_r,Bi_z), fin aspect ratio, L/R, and radial-to-axial conductivity ratio k~*. Several special cases are derived from the general solution, which includes the insulated-tip boundary condition. It is also demonstrated that the classical temperature distribution and heat transfer rate from the two-dimensional isotropic pin fin introduced earlier in literature can easily be recovered from the general solutions presented in this paper. Furthermore, dimensionless optimization results are presented for orthotropic pin fins that can help to solve many natural and forced convection pin fin problems.
机译:导出并给出了在对流边界条件下正交各向异性的二维销鳍的温度分布,传热速率以及鳍效率和鳍有效性的解析解。根据无量纲变量(如径向和轴向Biot数(Bi_r,Bi_z),鳍长宽比,L / R和径向与轴向电导率k〜*)来介绍和讨论广义结果。从一般解中得出了几种特殊情况,包括绝缘尖端边界条件。还证明了文献中较早引入的二维各向同性销翅片的经典温度分布和传热速率可以很容易地从本文提出的一般解决方案中恢复。此外,提出了正交各向异性销鳍的无量纲优化结果,可以帮助解决许多自然对流和强制对流销鳍的问题。

著录项

  • 来源
    《Journal of Heat Transfer》 |2010年第3期|031301.1-031301.8|共8页
  • 作者单位

    Department of Mechanical Engineering, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia;

    Department of Mechanical Engineering, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia;

    Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    orthotropic; pin fin; dimensionless heat transfer; optimization;

    机译:正交各向异性针鳍无量纲的热传递;优化;

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