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首页> 外文期刊>Energy Conversion & Management >Simple and accurate solution for convective-radiative fin with temperature dependent thermal conductivity using double optimal linearization
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Simple and accurate solution for convective-radiative fin with temperature dependent thermal conductivity using double optimal linearization

机译：使用双重最优线性化方法，简单而准确地解决与温度相关的热导率的对流散热片

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摘要

A novel concept of double optimal linearization is introduced and used to obtain a simple and accurate solution for the temperature distribution in a straight rectangular convective-radiative fin with temperature dependent thermal conductivity. The solution is built from the classical solution for a pure convection fin of constant thermal conductivity which appears in terms of hyperbolic functions. When compared with the direct numerical solution, the double optimally linearized solution is found to be accurate within 4% for a range of radiation-conduction and thermal conductivity parameters that are likely to be encountered in practice. The present solution is simple and offers superior accuracy compared with the fairly complex approximate solutions based on the homotopy perturbation method, variational iteration method, and the double series regular perturbation method. The fin efficiency expression resembles the classical result for the constant thermal conductivity converting fin. The present results are easily usable by the practicing engineers in their thermal design and analysis work involving fins.
机译：引入了双重最优线性化的新概念，并将其用于获得简单且精确的解决方案，以解决具有取决于温度的热导率的直矩形对流辐射散热片中的温度分布。该解决方案是根据经典解决方案构建的，该解决方案是采用双曲函数表示的，具有恒定导热率的纯对流散热片。当与直接数值解比较时，对于在实践中可能会遇到的一系列辐射传导和热导率参数，发现双重最优线性化解的准确度在4％以内。与基于同伦摄动法，变分迭代法和双序列正则摄动法的相当复杂的近似解相比，本解决方案简单易行，并提供了卓越的准确性。翅片效率表达式类似于恒定导热系数转换翅片的经典结果。实际的工程师很容易在涉及散热片的热设计和分析工作中使用这些结果。

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