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Canadian Journal of Chemical Engineering, Vol.97, No.3, 821-828, 2019
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 (psi), and dimensionless frequency of the base temperature oscillation (omega) on temperature distribution are studied. Increasing the values of psi, as the non-Fourier condition of heat transfer, led to a discontinuity in the dimensionless temperature distribution with smaller values of eta. 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.