The purpose of this study is to compare the in influence of turbulence modeling on the prediction of turbulent reacting flows. The models considered in this study are the standard , and Algebraic Reynolds Stress Models (ARSM). A comprehensive survey has been performed about the aforementioned models. The SSG ARSM has been adopted and implemented into the FV-based open source computer code OpenFOAM. The PaSR concept is used for modeling of combustion-turbulence interaction. The well-known backward-facing step case was considered for turbulence model implementation validation where the results for an isothermal flow are compared to other’s work and also to the experimental data. The performance of the aforementioned model for reactive flow is assessed for the case of a non-premixed bluff-body flame. Finally, the ARSM has been used to predict the isothermal flow in a real furnace of a boiler and an industrial burner with a complex burner geometry. The result and ARSM result were compared. It is concluded, that the ARSM predicts the normal stresses and velocities better than the model. Key Words ARSM, turbulence anisotropy, swirl, streamline curvature,combustion