“…Obviously, matching of the stresses at the interface can only be accomplished if Brinkman's extension is used in the momentum equations for the porous layer [4]. In the interface, x and y are the Cartesian coordinates measured in the horizontal and vertical directions respectively, K represents the permeability of the porous medium and g is the acceleration due to gravity, / stands for the solid volume fraction of nanoparticles, a nf is the effective thermal diffusivity of the nanofluids, q nf represents the effective density of the nanofluids and ðqCpÞ nf is the heat capacitance of the nanofluids, defined in [29] as…”