**Abstract**

In current study, fully developed flow of Al2O3-water nanofluid with forced convection heat transfer in channel is investigated with different models of heat and mass distribution. The channel is filled with porous media of open-celled Cu metal foams. The Darcy and Brinkman models are used for the mass flow; however, the heat transfer distribution is examined through the local thermal equilibrium (LTE) and the local thermal non-equilibrium (LTNE) models. Exact solutions for Darcy-LTE, Brinkman-LTE, Darcy-LTNE, and Brinkman-LTNE models are obtained. Temperature profiles by these different models are discussed under effect of nanoparticle concentration and compare the profiles with each other.

**Keywords:** nanofluid, porous media, Darcy-LTE, Brinkman-LTE, Darcy-LTNE, Brinkman-LTNE models
