As reported in the literature, a sufficiently small Peclet number requires the inclusion of axial conduction within a fluid flowing in a duct. In fluid saturated porous ducts, this phenomenon greatly increases the heat transfer rate within the thermal entrance region. Axial conduction effects near the thermal entrance regions in parallel-plate ducts and in circular ducts are emphasized in this study. Having metallic foams as porous materials can cause the effective thermal conductivity to increase and this decreases the Peclet number. Here, a simple solution is being used for determination wall heat flux near the thermal entrance location and the result leads to a relatively simple correlation for determination of the bulk temperature. (C) 2009 Elsevier Ltd. All rights reserved.