Physical significance of rectangular and hyperbolic annular fin with radiation, convection and nonlinear variable properties

Abstract

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.