Execution of probabilists' Hermite collocation method and regression approach for analyzing the thermal distribution in a porous radial fin with the effect of an inclined magnetic field

The current research addresses the features of the steady-state thermal distribution in a radial porous fin. The present study introduces the feature of an inclined magnetic field with convection influence on the thermal variation through the fin. The impact of internal heat generation is also considered. The governing temperature equation of the fin is modified to a non-dimensional version by employing appropriate dimensionless variables. The numerical results of the dimensionless temperature equation are achieved from the series form solution by employing the probabilists' Hermite collocation method. The correlation expressions for temperature profile under the influence of relevant thermal parameters are constructed by accomplishing linear regression on the collected numerical data, and the graphical illustrations are provided for interpreting the thermal parameters' impact on the temperature profile. The maximum heat transfer rate is feasible due to the influence of an inclined magnetic field in the presence of thermal convection on the fin's surface. A change in the magnetic field angle promotes heat transfer rate with the decrease in temperature. A significant upsurge in the rate of heat transfer is caused by the increment of the porosity parameter and convective-conductive parameter. The thermal field improves as a function of the heat generation parameter, and the thermal distribution in the fin decreases with an increase in Hartmann number.