Forced convection heat and mass transfer flow of a nanofluid through a porous channel with a first order chemical reaction on the wall

Abstract

This study is devoted to investigate the fully developed forced convection heat and mass transfer in a horizontal porous channel filled with a nanofluid. It is assumed that the walls of the channel are subject to a constant heat flux. It is also assumed that the first order catalytic reaction takes place on the walls and that the viscous dissipation term in the energy equation is taken into account. Brinkman model is used for the flow in the porous media and “clear fluid compatible” viscous dissipation model is considered. Thermal effect is taken also into account in the concentration equation. Closed form analytical solutions are presented for the governing dimensionless momentum, energy and concentration equations. The effects of nanoparticle volume fraction, Darcy, Brinkman, Damkohler and Soret numbers are investigated on the Nusselt number, velocity, temperature and concentration distributions.