In this article, the variation of temperature distribution and fin efficiency in a porous moving fin of rectangular profile is studied. This study is performed using Darcy's model to formulate the governing heat transfer differential equation. The approximate analytical solution is generated using the variational iteration method (VIM). The power series solution is validated by benchmarking it against the numerical solution obtained by applying the Runge-Kutta fourth order method. A good agreement between the analytical and numerical results is observed. The effects of porosity parameter, Peclet number and other thermo-physical parameters, such as the power index of heat transfer coefficient, convective-conductive parameter, radiative-conductive parameter, thermal conductivity gradient and non-dimensional ambient temperature on non-dimensional temperature are also studied and explained. The results indicate that the fin rapidly dissipates heat to the ambient temperature with an increase in the Peclet number, convection-radiation parameters and the porosity parameter.

本文研究了矩形多孔多孔散热片中温度分布和散热片效率的变化。这项研究是使用达西模型进行公式化的，以控制热传递微分方程。使用变分迭代方法（VIM）生成近似解析解。幂级数解决方案通过将其与应用Runge-Kutta四阶方法获得的数值解决方案进行基准测试来验证。观察到分析结果和数值结果之间的良好一致性。孔隙度参数，Peclet数和其他热物理参数的影响，例如传热系数的功率指数，对流传导参数，辐射传导参数，还研究和解释了热导率梯度和无量纲温度对无量纲温度的影响。结果表明，随着Peclet数，对流辐射参数和孔隙率参数的增加，散热片将热量迅速消散到环境温度。