A k-ε- V² -f model for turbulent flow of dilute polymer solutions up to the maximum drag reduction

A k-ε- v² -f model is developed to model turbulent flow of dilute polymer solutions up to the maximum drag reduction limit, by utilizing the Finitely Extensible Nonlinear Elastic-Peterlin (FENE-P) rheological constitutive model. Eight sets of direct numerical simulation (DNS) data are used to analyze the budgets and the behavior of relevant physical quantities, such as the nonlinear terms in the FENE-P constitutive equation, the turbulent kinetic energy transport equation, the wall normal Reynolds stress transport equation and the solvent dissipation transport equation. Calculated polymer stress, velocity profiles and turbulent flow characteristics are all in good agreement with current, and independent DNS data over a wide range of rheological and flow conditions, and show significant improvements over the corresponding predictions of other existing turbulence models for FENE-P fluids.