On the numerical calculation of stagnation point heat transfer using the kepsilon model of turbulence
Abstract
Numerical simulations of turbulent heat transfer near a stagnation point are performed in many studies. It will be shown that the kepsilon model for these flows gives unrealistic results. Using the Boussinesq hypothesis for the eddy viscosity results in positive source terms in the equation for the kinetic energy of turbulent fluctuations (k) for both accelerating and decelerating flows, which is contradictory to the exact equation for k derived from the NavierStokes equations. The kepsilon model gives a sharp peak of k just before stagnation and an overestimated heat transfer in the case of an impinging jet on a flat plate. Some investigators altered the kepsilon model in such a way that the results looked better. A better alternative is to abandon the kepsilon model for these types of flows and allow anisotropy in the stagnation region into the model.
 Publication:

IN: Numerical methods in laminar and turbulent flow; Proceedings of the Fourth International Conference
 Pub Date:
 1985
 Bibcode:
 1985nmlt.proc.1138V
 Keywords:

 Computational Fluid Dynamics;
 KEpsilon Turbulence Model;
 Stagnation Flow;
 Stagnation Point;
 Turbulent Heat Transfer;
 Boussinesq Approximation;
 Eddy Viscosity;
 Jet Impingement;
 Kinetic Energy;
 NavierStokes Equation;
 Reynolds Stress;
 Fluid Mechanics and Heat Transfer