Some numerical predictions of incompressible turbulent flows
Abstract
Numerical methods in the calculation of incompressible turbulent flows are discussed, emphasizing methods in which the NavierStokes equations are closed by means of eddy viscosity terms or Reynolds stress transport equations. The equations derived can be solved by a finite difference method, with or without the use of stream functions. The eddy viscosity method, for elliptical partial differential flow equations, is used to calculate the recirculating flow downstream of a sudden enlargement in a circular duct. Numerical results are compared with experimental velocity, kinetic energy and pressure profiles and it is shown that calculations not based on stream functions predict flow patterns closer to those observed. The Reynolds stress transport equation method for parabolic equations is applied to free turbulent round jet. The influence of inlet conditions (nozzle jet or pipe jet) on velocity, kinetic energy and turbulent shear stress profiles is calculated and found to agree well with experiments.
 Publication:

Numerical Methods in Laminar and Turbulent Flow
 Pub Date:
 1978
 Bibcode:
 1978nmlt.proc..287H
 Keywords:

 Eddy Viscosity;
 Finite Difference Theory;
 Incompressible Flow;
 NavierStokes Equation;
 Stream Functions (Fluids);
 Turbulent Flow;
 Ducted Flow;
 Free Jets;
 Kinetic Energy;
 Performance Prediction;
 Pressure Distribution;
 Recirculative Fluid Flow;
 Reynolds Stress;
 Shear Stress;
 Fluid Mechanics and Heat Transfer