Abstract
An analytical consideration was made to explore velocity, temperature and nanoparticle distributions and heat transfer characteristics associated with thermal dispersion and nanoparticle mechanical dispersion within a nanofluid saturated metal foam. A volume averaging theory was rigorously applied to integrate locally a set of governing equations based on the modified Buongiorno model at a pore scale. Subsequently, a pore scale analysis was carried out to find possible functional forms for describing thermal dispersion and nanoparticle mechanical dispersion in a nanofluid saturated metal foam.