Abstract
A low-Reynolds-number k-ω model for Newtonian fluids has been developed to predict drag reduction of viscoelastic fluids described by the FENE-P model. The model is an extension to viscoelastic fluids of the model for Newtonian fluids developed by Bredberg et al. (Int J Heat Fluid Flow 23:731–743, 2002). The performance of the model was assessed using results from direct numerical simulations for fully developed turbulent channel flow of FENE-P fluids. It should only be used for drag reductions of up to 50 % (low and intermediate drag reductions), because of the limiting assumption of turbulence isotropy leading to an under-prediction of k, but compares favourably with results from k-ε models in the literature based on turbulence isotropy.
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Resende, P.R., Pinho, F.T., Younis, B.A. et al. Development of a Low-Reynolds-number k-ω Model for FENE-P Fluids. Flow Turbulence Combust 90, 69–94 (2013). https://doi.org/10.1007/s10494-012-9424-x
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DOI: https://doi.org/10.1007/s10494-012-9424-x