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首页> 外文期刊>International Journal of Mechanical Engineering Education >Elemental approximate analytic procedure for the annular fin of hyperbolic profile amenable to a heat transfer course
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Elemental approximate analytic procedure for the annular fin of hyperbolic profile amenable to a heat transfer course

机译：用于传热过程的双曲线环形翅片的元素近似分析过程

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摘要

Straight or longitudinal fins of variable profile are explained in most textbooks on heat transfer, but unfortunately annular or circular fins of variable profile are not. Owing to this limitation, the present article addresses an elemental approximate analytic solution for treating the governing quasi l-D heat equation descriptive of an annular fin of hyperbolic profile. To solve this equation approximately, usage of the mean radius of the annular fin is made. The transformed ordinary differential equation with constant coefficients is equivalent to the quasi I -D heat equation for the straight fin of uniform profile that appears in all heat transfer textbooks. Within the framework of engineering analysis and design, the estimates of approximate temperatures and companion heat transfer rates for the annular fin of hyperbolic profile owing realistic values of the parameters give evidence of good quality and minimal errors. The transformation procedure is carried out in a step-by-step manner and can be readily comprehended by undergraduate students in mechanical engineering programs.
机译：在传热上的大多数教科书中解释了可变轮廓的直或纵向翅片，但不幸的是，可变轮廓的环形或圆形翅片不是。由于这种限制，本文解决了用于治疗双曲面环形鳍片的控制拟拟合热方程的元素近似分析解决方案。为了求解该等式，制造环形翅片的平均半径的使用。具有恒定系数的变换的普通微分方程等同于所有传热教科书中出现的均匀轮廓的直鳍的准I-D热方程。在工程分析和设计框架内，参数实际值的近似温度和伴侣传热率的估计，造成了良好质量和最小误差的证据。转换程序以逐步的方式进行，并且可以通过机械工程计划中的本科生容易地理解。

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