This article presents the performance of a new nonlinear k-omega model for
computations of turbulent flows and heat transfer in several different flow
types. This model was developed by incorporating cubic terms that take int
o account the anisotropy of the Reynolds stresses, and the effects of extra
strain rates which are usually caused by a streamline curvature and the ro
tation of the flow passages. The governing equations are discretized using
a nonstaggered finite-volume formulation employing a bounded higher-order d
ifferencing scheme. Five cases of turbulent flows are simulated numerically
: fully developed turbulent flows in a channel without rotation, in a curve
d channel, in a rotating channel, and the flow over a two-dimensional blunt
rectangular section. Both flow and heat transfer characteristics were exam
ined for the aforementioned flow passages. The comparisons were made among
the present computations using both linear and nonlinear k-omega models, pu
blished experimental data, and results obtained by Direct Numerical Simulat
ion (DNS). It was shown that the nonlinear k-omega model generally gives su
perior results over the existing linear k-omega model by demonstrating bett
er agreement with the data for both flow and heat transfer computations.