The present examination elaborates on the thermal distribution and thermal stress analysis of a hyperbolic- and rectangular-profiled annular fin subjected to radiation, internal heat generation, and convection. The temperature-dependent nonlinear thermal properties governed by the power law are considered. The heat transport and steady-state thermal distribution in the fin are scrutinized using a mathematical model. The modeled equation has been converted into nonlinear ordinary differential equations (ODEs) using relevant non-dimensional terms. The resultant nonlinear coupled ODEs are solved analytically using the DTM-Pade approximant. The behavior of temperature distribution and thermal stress in the presence of various arising parameters is signified using graphical formations. The analytical results achieved from this investigation are compared to existing studies, and they show a good agreement. The thermal distribution in the fin is reduced as a result of elevated convective and radiative parameter values. Improved heat generation parameter values optimize the thermal distribution in the fin.

本研究详细阐述了受辐射、内部发热和对流影响的双曲线和矩形剖面环形翅片的热分布和热应力分析。考虑了受幂律控制的与温度相关的非线性热特性。使用数学模型仔细检查翅片中的热传输和稳态热分布。已使用相关的无量纲项将建模方程转换为非线性常微分方程 (ODE)。生成的非线性耦合 ODE 使用 DTM-Pade 近似值进行解析求解。使用图形表示存在各种出现参数时的温度分布和热应力行为。将本次调查获得的分析结果与现有研究进行了比较，它们显示出良好的一致性。由于对流和辐射参数值的提高，翅片中的热分布减少。改进的发热参数值优化了翅片中的热分布。