Flames tilted by wind are of considerable practical interest because they occur often in our environment and are responsible for a lot of damage. This paper is devoted to the effect of this type of flame on radiative heat transfer which can significantly increase the rate of fire propagation. The proposed theoretical model associates the search for an efficient approach, the facility of use and an acceptable computational time. Its main characteristics are as follows: two-dimensional formulation, the conservation equations being expressed in elliptic or parabolic form according to the local nature of the flow; discretization by a finite-volume technique; turbulence model k - epsilon; conservative parameter combustion model; soot formation model based upon a steady-state between formation and oxidation destruction velocity; assumption of equivalent grey body behavior for calculation of radiative properties. The model is validated using experimental data from two kinds of pool fires (small and moderate scales). The comparison of the predicted values with the fluxes measured in downwind or upwind positions shows that this approach is claimed to result in significant computational efficiency.