Comparison betweenSingle and Two Phase Nanofluid Convective Heat Transfer in a Porous Channel

In this paper, the nanofluid forced convection heat transfer in the case of single and two phase approachs is studied.The fully-developed flow and steady Darcy-Brinkman-Forchheimer equation is employed in porous channel and is solved with homotopy perturbation method. The thermal equilibrium model is assumed between nanofluid and solid phases. It is assumed that the nanoparticles are distributed non-uniformly inside the channel.As a result, the volume fraction distribution equation is also coupled with governing equations. It is observed that as the Schmidt number is increased, the wall temperature gradient is decreased and as a consequence the local Nusselt number is decreased. The effects of Lewis number, Schmidt number and modified diffusivity ratio on the volume fraction distribution are also studied and discussed. Heat transfer of single and two phase approaches are also compared.