The present paper introduces an accurate numerical procedure to assess the internal thermal energy generation in an annular porous-finned heat sink from the sole assessment of surface temperature profile using the golden section search technique. All possible heat transfer modes and temperature dependence of all thermal parameters are accounted for in the present nonlinear model. At first, the direct problem is numerically solved using the Runge–Kutta method, whereas for predicting the prevailing heat generation within a given generalized fin domain an inverse method is used with the aid of the golden section search technique. After simplifications, the proposed scheme is credibly verified with other methodologies reported in the existing literature. Numerical predictions are performed under different levels of Gaussian noise from which accurate reconstructions are observed for measurement error up to 20%. The sensitivity study deciphers that the surface temperature field in itself is a strong function of the surface porosity, and the same is controlled through a joint trade-off among heat generation and other thermo-geometrical parameters. The present results acquired from the golden section search technique-assisted inverse method are proposed to be suitable for designing effective and robust porous fin heat sinks in order to deliver safe and enhanced heat transfer along with significant weight reduction with respect to the conventionally used systems. The present inverse estimation technique is proposed to be robust as it can be easily tailored to analyse all possible geometries manufactured from any material in a more accurate manner by taking into account all feasible heat transfer modes.

本文介绍了一种精确的数值程序，用于通过使用黄金分割搜索技术对表面温度分布的唯一评估来评估环形多孔翅片散热器中的内部热能产生。在本非线性模型中考虑了所有可能的传热模式和所有热参数的温度依赖性。首先，使用 Runge-Kutta 方法对直接问题进行数值求解，而为了预测给定广义翅片域内的主要热量产生，则在黄金分割搜索技术的帮助下使用逆方法。简化后，所提出的方案得到了现有文献中报道的其他方法的可信验证。数值预测是在不同级别的高斯噪声下执行的，从中可以观察到准确的重建，测量误差高达 20%。敏感性研究表明，表面温度场本身是表面孔隙度的强函数，并且通过发热和其他热几何参数之间的联合权衡来控制。建议从黄金分割搜索技术辅助逆方法获得的当前结果适用于设计有效和坚固的多孔翅片散热器，以提供安全和增强的热传递，同时显着减轻传统使用的系统的重量。