Prediction of horizontal and vertical turbulent buoyant wall jets
Abstract
A buoyancyextended version of the k  epsilon turbulence model is described which predicts well the main features of turbulent buoyant wall jets. The model relates the turbulent shear stress and heat flux to the mean velocity and temperature gradients, respectively, and to the turbulent kinetic energy k and the dissipation rate epsilon by way of the KolmogorovPrandtl eddy viscosity/diffusivity relation and determines k and epsilon from semiempirical transport equations. The empirical constant in the KolmogorovPrandtl expression and the usually constant turbulent Prandtl number are replaced by functions which are derived by reducing model forms of the Reynoldsstress and heatflux transport equations to algebraic expressions, retaining the buoyancy terms and the walldamping correction to the pressurestrain/scrambling model in these equations. The extended k  epsilon model is applied to buoyant wall jets along a horizontal wall and to a plume developing along a vertical wall. The predictions are compared with experimental data whenever possible and are found to be in good agreement with the data.
 Publication:

ASME Journal of Heat Transfer
 Pub Date:
 May 1981
 Bibcode:
 1981ATJHT.103..343L
 Keywords:

 Buoyancy;
 Computational Fluid Dynamics;
 Flow Characteristics;
 Heat Flux;
 Shear Stress;
 Turbulent Jets;
 Wall Flow;
 Eddy Viscosity;
 Energy Dissipation;
 KEpsilon Turbulence Model;
 Kinetic Energy;
 Mathematical Models;
 Prandtl Number;
 Reynolds Stress;
 Temperature Gradients;
 Transport Theory;
 Turbulent Diffusion;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer