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首页> 外文期刊>Heat Transfer Research >NONLINEAR ANALYSIS OF A NON-FOURIER HEAT CONDUCTION PROBLEM IN A FIN HEATED BY CONSTANT HEAT SOURCE
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NONLINEAR ANALYSIS OF A NON-FOURIER HEAT CONDUCTION PROBLEM IN A FIN HEATED BY CONSTANT HEAT SOURCE

机译：恒温加热翅片中的非傅里叶导热问题的非线性分析

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摘要

Heat transfer phenomenon within a one-dimensional finite fin subjected to the action of a constant heat source was studied in this paper. The Cattaneo-Vernotte non-Fourier heat conduction model was used for thermal analysis. The thermal conductivity was assumed temperature-dependent which resulted in a nonlinear equation. The obtained equations were solved using the approximate-analytical Adomian Decomposition Method (ADM). It was concluded that the method used in this study is a powerful tool for solving non-Fourier PDEs. It was also found that the nonlinear analysis is important in non-Fourier heat conduction problems. Significant differences were observed between the Fourier and non-Fourier solutions which stresses the importance of non-Fourier solutions in similar problems. The weak role of convection heat transfer was also specified.
机译：本文研究了经受恒热源作用的一维有限翅片内的传热现象。 Cattaneo-Vernotte非傅立叶热传导模型用于热分析。 采用温度依赖性的导热率，导致非线性方程。 使用近似分析Adomian分解方法（ADM）来解决所获得的等式。 得出结论，本研究中使用的方法是解决非傅立叶PDE的强大工具。 还发现非线性分析在非傅立叶导热问题中是重要的。 傅立叶和非傅立叶解决方案之间观察到显着差异，这强调了非傅立叶解决方案在类似问题中的重要性。 还指定了对流传热的弱作用。

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