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Planted roofs are passive cooling techniques that reduce the thermal load of buildings. In this paper, a dynamic mathematical model based on time average Navier-Stokes equations for a planted roof in hot humid climates has been developed for evaluating the cooling potential.Transfer equations are solved using a finite difference scheme and Thomas algorithm. The model was applied for the simulation of the planted roof in togolese climate conditions. Results showed that, evapotranspiration and Solar Heat gain Factor are functions of the Leaf Area Index which is the most important parameter when considering the foliage material. It is clearly proved that the foliage density and hence the vegetable canopy type selection greatly influence the thermal efficiency of the bioclimatic insulation screen. It was found that a larger Leaf Area Index reduces the solar flux penetration and increases evapotranspiration which is an important parameter when considering surrounding microclimate formation.