Abstract In this article, the differential transform method (DTM) is used to solve the nonlinear boundary value problems describing heat transfer in continuously moving fins undergoing convective-radiative heat dissipation. The thermal conductivity is variable and temperature dependent. The surface of the moving fin is assumed to be gray with a constant emissivity ɛ. The flow in the surrounding medium provides a constant heat transfer coefficient h over the entire surface of the moving fins. The effects of some physical parameters such as the Peclet number, Pe, thermal conductivity parameter, β, convection-conduction parameter, N c , radiation-conduction parameter, N r , and dimensionless convection-radiation sink temperature, θ a , on the temperature distribution are illustrated and explained.

中文翻译：

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具有温度相关热导率的对流辐射连续移动翅片的分析

摘要 在本文中，微分变换方法(DTM) 被用来解决非线性边值问题，该问题描述了连续运动的翅片在进行对流-辐射散热时的传热。热导率是可变的并且取决于温度。假设移动鳍的表面是灰色的，具有恒定的发射率 ɛ。周围介质中的流动在移动翅片的整个表面上提供恒定的传热系数 h。一些物理参数如 Peclet 数 Pe、热导参数 β、对流-传导参数 N c 、辐射-传导参数 N r 和无量纲对流-辐射槽温度 θ a 对温度的影响分布进行了说明和解释。