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In this paper, a method based on the combination of transport equations and PDF (Probability Density Function) calculations is tested through the study of a free axisymmetric turbulent jet and non-premixed flames. This method solves the difficulties related to the closure of the chemical source term. PDF calculations provide the statistical properties of the flow by which the mean values of physical quantities are calculated. In addition, Favre averaged quantities, i.e. temperature, species concentration and velocity fields, can be obtained by using PDF. A comparison has been made with previous experimental and numerical studies in the same field. The model is then applied to the investigation of a diffusive turbulent flame for which experimental data exist. The results obtained show good accuracy for velocities, main species and temperature and are very encouraging for use in combustion simulations.