In this paper a mathematical model for prediction of velocity, temperature and concentration fields of axisymmetrical confined swirl, turbulent flame was presented. Model consists of few mutually coupled segments related to basic processes in turbulent flows with combustion. Turbulent flow is specified by time averaged Navier-Stokes equations and the k-e model of turbulence. For the evaluation of convective heat and mass transfer the energy equation and the conservation equations for the relevant components of the gas mixture were solved. The radiation heat transfer was modelled by six flux method. Processes of the single-phase combustion were described by conservation equations for the relevant components of the combustion, and by modelling the source term which represents reaction rate. The original combustion rate model based on the ideal reacting hypothesis within the fine structure of turbulence was applied. In the proposed model, both the chemical kinetics and turbulent effects, were considered at the same time. For the numerical solution of the model equations a control volume method with SIMPLE algorithm was applied. The parallel analysis of experimental and calculation results showed satisfactorily agreement between the model and the experiment. The analysis also showed significance of the proposed combustion rate model with simultaneous influence of both the chemical kinetics and turbulent effects.