Transient Thermal Analysis of Convective-Radiative Moving Fin under the Influences of Magnetic Field and Time-dependent Boundary Condition

In this paper, unsteady thermal scrutiny of radiative-convective moving fin considering the influences of magnetic field and time-dependent boundary conditions is explored via Laplace transform method. The analytical solutions obtained are employed in the investigation of the impacts of Hartmann number, Peclet number, radiative and convective parameters on the transient thermal performance and effectiveness in the moving fin. The research outcomes establish that an increase in convective and porosity terms generates a corresponding increase in the fin’s heat transfer rate. This consequently augments the fin’s efficiency. Correspondingly, an increase in increases the magnitude of temperature distribution within the fin. It is also found that increasing the results in an increase in material mobility rate. Meanwhile, the exposure period of the material to its surrounding environmental conditions diminishes while fin losses more surface heat, hence the temperature of the fin intensifies. Finally, an increase in the fin’s internal heat generation and thermal conductivity reduces heat transfer rate. Thus, the controlling terms of the fin during operation should be prudently selected to make sure that it retains its principal function of heat removal from the main surface.