![]() Today, energy is accepted as the most indicator of economic development. It is shown that the present model is a significant improvement over the standard k-epsilon eddy viscosity model. The results from the standard k-epsilon eddy viscosity model are also included for comparison. The model predictions are compared with available experimental data. The flows that are examined include: (1) rotating homogeneous shear flows (2) boundary-free shear flows including a mixing layer, planar and round jets (3) a channel flow, and flat plate boundary layers with and without a pressure gradient and (4) backward facing step separated flows. We find that the present model with a set of unified model coefficients can perform well for a variety of flows. The new eddy viscosity formulation is based on the realizability constraints: the positivity of normal Reynolds stresses and Schwarz' inequality for turbulent shear stresses. The new model dissipation rate equation is based on the dynamic equation of the mean-square vorticity fluctuation at large turbulent Reynolds number. A new k-epsilon eddy viscosity model, which consists of a new model dissipation rate equation and a new realizable eddy viscosity formulation, is proposed. ![]()
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