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 ( N p ), the radiation parameter ( N r ), the convection parameter ( N c ), 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 N c , N r , and N p , of which the N r had the strongest effect on heat transfer in comparison with other parameters.