The main of tis work was to present a mathematical model, suitable for a local description of energy transfer process in a saturated flow thorough a rigid porous medium. This model was constructed based upon the Theory of Mixtures viewopoint. In this context, fluid and solid (the porous medium) were treated as continuous constituents of a binary mixture, coexisting supperposed in the whole volume of the mixture. One important aspect focused on the present work was that fluid and solid constituents were allowed to hav their own temperature fields, so that no thermal equilibrium between them was supposed a priori. Forced and free convection problems were numerically simulated. The forced convection heat transfer in a porous channel bounded by two isothermal flat plates was considered in three different cases.In the first one, four boundary conditions on x-direction were considered. In the second case, the absence of boundary condition for the fluid constituent at the channels exit, led to the utilization of an iterative procedure. Finally, in the third case, in which an iterative algorithm was presented, the fluid constituent inlet temparature was the only boundary condition prescribed on x-direction. A packed-bed heat exchanger in counter-flow arrangement was alo considered. The heat exchanger consisted of two porous channels, separated by impermeable wall without thermal resistence. The natural convection flow in a porous cavity was also simulated. The effect of some dimensionless parameters was considered. Stream lines and isotherms (for both constituents) were plotted for some representative cases.