Investigation of the Stretching/Shrinking of a Convective-Radiative Radial Fin

Fins are extended surfaces that increase the surface area for heat transfer between a hot source and an ambient fluid. Heat transfer is increased by adding radial or concentric annular fins to the outside surface of a circular conduit. The fins are used in devices that exchange heat such as car radiators, electrical equipment, and heat exchangers. Based on these applications, the current article examines a stretching/shrinking convective-radiative radial fin. Additionally, parameters such as the Peclet number, surface temperature, and ambient temperature are taken into account. The shooting technique is used to investigate the thermal profile, fin’s tip temperature, and efficiency of the radial fin. It is revealed that the thermal profile enhances with stretching, the Peclet number, surface temperature, and ambient temperature, while declining with radiative and convective parameters. It is observed that the radial fin’s tip temperature versus stretching/shrinking increases with increasing values of the Peclet number and ambient and surface temperatures, but the fin’s tip temperature diminishes with increasing convective and radiative parameters. Additionally, when the radiative and convective parameters increase, efficiency also increases. However, when the Peclet number, surface temperature, and ambient temperature increase, the efficiency decreases. As a result of increasing the convection parameter $N_{\text{c}}$ from 0.1 to 0.3, the temperature distribution increases about 7%, and an increase of 5% in temperature distribution is achieved by increasing the radiation parameter $N_{\text{r}}$ from 0.1 to 0.3, and when the peclet number $P_{\text{e}}$ is increased from 0.3 to 0.8, the temperature distribution decreases by approximately 0.5%. It is also revealed that when the shrinking effect is exposed to a stretching/shrinking moving fin along with the radiative parameter, the thermal performance of the radial fin improves. From the results, it is concluded that stretching/shrinking radial fins improves efficiency and performance. Finally, a comparative study has also been made between the present and published results, and for every case study, superiority of results obtained from the present model is noticed and the degree of supremacy increases with the increase in condensation rate of vapor on fin surfaces.