In this study, the behavior of nanoparticles using a numerical model is discussed. For this study a model for the expansion in free convection heat transfer and mix in a rectangular container with dimensions of 1 × 4 cm using Nano-aerosols in the air is going when copper nanoparticles, use and by changing the temperature difference between hot and cold wall, we will examine its impact on the rate of heat transfer. The simulation involves two-dimensional flow simulation and relaxed state of constant flux in free convection on the two lateral sides and on the top face of constant temperature (cold plate) at 300 K was considered And at low temperature (heat plate) in three modes 350, 400 and 450 K were compared. Temperature distribution, velocity, surface heat flux and Nusselt number during the course of our review.Finally, enhanced heat transfer in the presence of copper nanoparticles and changes in the temperature difference between warm and cold wall was observed Manuscript profile