Exploration of Temperature Distribution through a Longitudinal Rectangular Fin with Linear and Exponential Temperature-Dependent Thermal Conductivity Using DTM-Pade Approximant

The present study elaborates on the thermal distribution and efficiency of a longitudinal rectangular fin with exponentially varying temperature-dependent conductivity heat transfer coefficient concerning internal generation. Also, is comparatively studied for both linearly conductivity. Further, examined by using ANSYS software different materials. Many physical mechanisms can be explained ordinary differential equations (ODEs) symmetrical behavior, significance which varies based perspective. governing equation considered problem reduced to non-linear ODE assistance dimensionless terms. resultant solved analytically DTM-Pade approximant also numerically Runge-Kutta Fehlberg’s fourth-fifth (RKF-45) order method. features parameters influencing temperature profile are discussed through graphical representation This ensures that field enhances higher magnitude parameter, whereas it diminishes diverse values thermo-geometric parameter. greater generation enhance profile. Highlight: Thermal profiled straight examined. Linear properties considered. combined impact conduction, convection, taken modeling energy fin. simulation performed Aluminum Alloy 6061 (AA 6061) Cast Iron ANSYS.