Abstract
A series of κ-e model modification has been carried out using DNS data to include near wall effects. Though these methods aided by DNS data open new ways of turbulence modeling, the κ-e turbulence models still have shortcomings in predicting turbulent flows for various Reynolds numbers and various geometric conditions. Therefore a new κ-e models with improved dissipation rate of turbulent kinetic energy equation and the damping function for eddy viscosity model is proposed. The new dissipation rate equation is based on the energy spectrum and magnitude analysis. The damping function for eddy viscosity is also based on the dissipation rate length scale distribution near the wall and the DNS data. The new κ-e model is applied to fully developed turbulent flows in channels and pipes with a various Reynolds numbers. Predictions show that the proposed model represents properly the turbulence properties in all turbulent regions over a wide range of Reynolds numbers.
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