Thermal behaviour of convective‐radiative porous fins under periodic thermal conditions

In the present study, the effects of non‐Fourier, convection, and radiation heat transfer are investigated in a porous fin under periodic thermal conditions. The porosity effect on the fin that allows the flow to infiltrate is formulated using Darcy's model. A nonlinear partial differential equation has been obtained by energy balance for the porous fin solved by a numerical method. The effects of buoyancy or natural convection parameter (Np), the radiation parameter (Nr), the convection parameter (Nc), dimensionless relaxation time (Ψ), and dimensionless frequency of the base temperature oscillation (ω) on temperature distribution are studied. Increasing the values of Ψ, as the non‐Fourier condition of heat transfer, led to a discontinuity in the dimensionless temperature distribution with smaller values of η. The heat transfer rate of the porous fin has been increased by increasing Nc, Nr, and Np, of which the Nr had the strongest effect on heat transfer in comparison with other parameters.