A Comparative Study of the Buoyancy-Opposed Wall Jet using Different Turbulent Models

Document Type : Regular Article


1 School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310018, China

2 School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310018, China


A comparative study of the buoyancy-opposed wall jet has been carried out using RANS methods (including RNG model, Realizable k-ε model, and two low Reynolds number k-ε models) and LES methods (including the subgrid scale model developed by Smagorinsky et al.(1963), Germano et al. (1991) and Kim et al. (1997)). The capability of each turbulence model to predict the flow field and temperature field in mixing stage was investigated. The results show that the k-ε series model can accurately predict the velocity distribution of flow field under isothermal case. However, in the case of buoyancy, due to the assumption of turbulent normal stress isotropy, the trend of temperature change in the mixing region and transition position existed an obvious deviation with experimental data. The LES methods, solved directly the large scale vortices, take into account the influence of turbulence stress anisotropy in the mixing region on the temperature change and capture the temperature change trend over the whole domain accurately. Due to the application of the subgrid kinetic energy transport equation, KET model has certain advantages in numerical simulation of similar engineering flow phenomenon.


Addad, Y., S. Benhamadouche and D. Laurence (2004). The Negatively Buoyant Wall-Jet: LES Results.  International Journal of Heat & Fluid Flow 25, 795-808.##
Craft, T. J., A. V. Gerasimov, H. Iacovides and B. E.  Launder (2002). Progress in the Generalization of Wall-Function Treatments. International Journal of Heat And Fluid Flow 23, 148-160.##
Craft, T. J., A. V. Gerasimov, H. Iacovides, J. W. Kidger and B. E. Launder (2004). The Negatively Buoyant Turbulent Wall Jet: Performance of Alternative Options in RANS Modelling. Heat Fluid Flow 25, 809-823.##
Doolan, C. J. (2014). Large Eddy Simulation of the Near Wake of a Circular Cylinder at Sub-Critical Reynolds Number. Engineering Applications of Computational Fluid Mechanics.##
Germano, M., U. Piomelli, P. Moin and W. H. Cabot (1991). A Dynamic Sub-Grid-Scale Eddy Viscosity Model. Journal of Fluid Mechanics 86, 491-511.##
Goldman, D. and Y. Jaluria (1986). Effect of Opposing Buoyancy On the Flow in Free and Wall Jets. Journal of Fluid Mechanics 166, 41-56.##
Guo, Y., C. X. Xu, G. X. C. Z. S. Zhang (2006). Large Eddy Simulation of Scalar Turbulence Using a New Subgrid Eddy Diffusivity Model. International Journal of Heat & Fluid Flow 28, 268–274.##
He, S., Z. Xu and J. D. Jackson (2002). An Experimental Investigation of Buoyancy-Opposed Wall Jet Flow.  International Journal of Heat & Fluid Flow 23, 487-496.##
Huai, W. X (2010). Numerical Simulation of Horizontal Buoyant Wall Jet. Journal of Hydrodynamics 22, 58-65.##
Jones, D. A. and M. Chapuis (2016). RANS Simulations Using OpenFOAM Software. Defence Science and Technology Group, 139-151.##
Kapoor, K. and Y. Jaluria (1989). Heat Transfer From a Negatively Buoyant Wall Jet. International Journal of Heat & Mass Transfer 32, 697-709.##
Kapoor, K. and Y. Jaluria (1991). Mixed Convection Flow Due to a Buoyant Wall Jet Turning Downward at a Corner. Mixed Convection Heat Transfer 163, 119-128.##
Kays and M. William (1994). Turbulent Prandtl Number—Where are we?" Asme Transactions Journal of Heat Transfer 116, 284-295.##
Kim, W. W., S. Menon, W. W. Kim and S. Menon (1997). Application of the Localized Dynamic Subgrid-Scale Model to Turbulent Wall-Bounded Flows. American Institute of Aeronautics and Astronautics, 1-13.##
Launder, B. E. and B. I. Sharma (1974). Application of the Energy-Dissipation Model of Turbulence to the Calculation of Flow Near a Spinning Disc  Pergamon 2, 131-138.##
Li, Z. W, W. X. Huai (2011). Large Eddy Simulation of the Interaction Between Wall Jet and Offset Jet. Journal of Hydrodynamics 23, 544-553.##
Li, Z. W, W. X. Huai, Z. D. Qian (2021). Study On the Flow Field and Concentration Characteristics of the Multiple Tandem Jets in Crossflow. Science China Technological Sciences 55, 2778-2788.##
Liu, Q. L., C. He and H. X. Lai (2018). Large Eddy Simulation of a Plane jet and Comparison of SGS Models. Journal of Engineering Thermophysics 6, 1272-1278.##
Meng, G., H. Wenxin, X. Yizhou, Y. Zhonghua and J. Bin (2018). Large Eddy Simulation of a Vertical Buoyant Jet in a Vegetated Channel. International Journal of Heat & Fluid Flow 70, 114-124.##
Nie, X. and Y. Z. Zhang (2017). Comparative Analysis and Numerical Simulation About Six Low Reynolds Number k-ε Models in Near-wall Shear Flow. Proceedings of the CSEE 24, 7247-7254.##
Nie, X., Z. H. Zhu, H. B. Liao, M. Lv and X. R. Xu (2021). A Comparative Study of Heat Transfer Characteristics of Wall Jet with Boundary Layer Transition Using Six low-Reynolds Number K –Ε Models. AIP Advances 11, 25025.##
Rathore, S. K. and M. K. Das (2016). Numerical Investigation On the Performance of low-Reynolds Number K- Model for a Buoyancy-Opposed Wall Jet Flow. International Journal of Heat & Mass Transfer 95, 636-649.##
Shih, T. H., W. W. Liou, A. Shabbir, Z. Yang and J. Zhu (1995). A New κ-ε Eddy Viscosity Model for High Reynolds Number Turbulent Flows. Computers Fluids 24, 227-238.##
Smagorinsky, J. (1963). General Circulation Experiments with the Primitive Equations. Monthly Weather Review 91, 99-164.##
Sommer, P. T.,M. C. R. So and G. Y. Lai (1992). A Near-Wall Two-Equation Model for Turbulent Heat Fluxes. International Journal of Heat And Mass Transfer 12, 3375-3387.##
Speziale, C. G. and S. Thangam (1992). Analysis of an RNG Based Turbulence Model for Separated Flows. International Journal of Engineering Science 30, 1379.##
Uddin, M. and M. Mallik, (2015). Large Eddy Simulation of Turbulent Channel Flow Using Smagorinsky Model and Effects of Smagorinsky Constants. British Journal of Mathematics & Computer Science 7, 375-390.##
Zhang L J., L. Zhou and X. C. Chen (2008). Numerical Simulation of Flow Around Square Cylinder Using Different low-Reynolds Number Turbulence Models. Journal of Central South University of Technology 04, 140-144.##
Yang, Z. and T. H. Shih (1993). A New Time Scale Based K-Epsilon Model for Near Wall Turbulence. AIAA JOURNAL 31, 1191-1198.##