Numerical investigation on the thermal response of an unsteady magnetohydrodynamics straight porous fin

Fins are frequently used in many heat transfer applications and also for the control and prevention of thermal damage in electronic and mechanical equipment. Thus, the current investigation focuses on estimating the thermal performance, efficiency, and effectiveness of MHD straight porous fin with temperature-dependent heat transfer coefficient, thermal conductivity, and emissivity. The finite-difference approximation is utilized to solve the governing nonlinear differential equation and numerical solutions are endorsed by analytical solutions of the steady-state model using the partial Noether method, Adomian decomposition method, and homotopy perturbation method. From the model predictions, it is noticed that the rise in geometry parameter, magnetic parameter, Rayleigh number, time, and Biot number rises the heat transfer rate of the system. In addition, fin efficiency and effectiveness are directly correlated with boiling parameter, thermal conductivity parameter, and porosity.