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首页> 外文期刊>Journal of Heat Transfer >Homotopy Perturbation Method for the Analysis of Heat Transfer in an Annular Fin With Temperature-Dependent Thermal Conductivity
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Homotopy Perturbation Method for the Analysis of Heat Transfer in an Annular Fin With Temperature-Dependent Thermal Conductivity

机译：具有热导率的环形翅片传热分析的同伦摄动法

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摘要

A recent mathematical technique of homotopy perturbation method (HPM) for solving nonlinear differential equations has been applied in this paper for the analysis of steady-state heat transfer in an annular fin with temperature-dependent thermal conductivity and with the variation of thermogeometric fin parameters. Excellent benchmark agreement indicates that this method is a very simple but powerful technique and practical for solving nonlinear heat transfer equations and does not require large memory space that arises out of discretization of equations in numerical computations, particularly for multidimensional problems. Three conditions of heat transfer, namely, convection, radiation, and combined convection and radiation, are considered. Dimensionless parameters pertinent to design optimization are identified and their effects on fin heat transfer and efficiency are studied. Results indicate that the heat dissipation under combined mode from the fin surface is a convection-dominant phenomenon. However, it is also found that, at relatively high base temperature, radiation heat transfer becomes comparable to pure convection. It is worth noting that, for pure radiation condition, the dimensionless parameter of aspect ratio (AR) of a fin is a more desirable controlling parameter compared to other parameters in augmenting heat transfer rate without much compromise on fin efficiency.
机译：本文应用了一种最新的同伦摄动法（HPM）来求解非线性微分方程，用于分析具有温度依赖性导热系数和热几何翅片参数变化的环形翅片中的稳态传热。出色的基准一致性表明，该方法是一种非常简单但功能强大的技术，可用于求解非线性传热方程，并且不需要在数值计算中（特别是对于多维问题）因方程离散而产生的大存储空间。考虑了传热的三个条件，即对流，辐射以及对流和辐射的组合。确定了与设计优化有关的无量纲参数，并研究了它们对散热片传热和效率的影响。结果表明，在组合模式下，散热片表面的散热是对流占优势的现象。然而，还发现，在较高的基础温度下，辐射传热变得与纯对流相当。值得注意的是，对于纯辐射条件，在不增加散热鳍片效率的情况下，在不增加散热鳍片效率的情况下，与其他参数相比，散热片的长宽比（AR）的无量纲参数是更理想的控制参数。

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