Abstract
The current simulations treat impacts of the thermal radiation on some natural convective process and entropy generation along a vertical surface impeded in a non-Darcy porous medium. Various convective practicabilities are due to various thermal boundary conditions, namely, isothermal surface with horizontal leading edge C1, uniform surface with horizontal leading edge C2, an adiabatic surface with a concentrated heat source along the horizontal leading edge C3 and a plane plume rising from a horizontal thermal source C4. Beside the boundary conditions, these convection modes are characteristic with a power index n such that n = 0 refers to C1, n = 0.2 refers to C2 and n = − 0.6 refers to C3 and C4. The worked mixture is Cu-water nanofluid. The dependent variables are expanded in terms of small parameters γ ( x ) and λ ( x ) , those are function in the permeability parameter. Numerical imitations are carried out for several of the radiation parameter R d , concentration of the nanoparticles φ and the porosity of the porous medium . The outcomes disclosed that, for all the considered cases, profiles of the temperature, velocity, Bejan number and entropy are enhanced as the radiation parameter is increased. In C1 (isothermal case) the zero-order of the skin friction and the Nusselt coefficient are augmented as φ is varied. In the same context, in C1, the growing in the radiation coefficient from 0 to 2 results in an increase in the zero-order of the skin friction by 9.4%.