Flow, Turbulence and Combustion

, Volume 90, Issue 1, pp 69–94 | Cite as

Development of a Low-Reynolds-number k-ω Model for FENE-P Fluids

  • P. R. Resende
  • F. T. Pinho
  • B. A. Younis
  • K. Kim
  • R. Sureshkumar
Article

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.

Keywords

Drag reduction Polymer solutions FENE-P k-ω turbulence model 

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Copyright information

© Springer Science+Business Media Dordrecht 2012

Authors and Affiliations

  • P. R. Resende
    • 1
  • F. T. Pinho
    • 1
  • B. A. Younis
    • 2
  • K. Kim
    • 3
  • R. Sureshkumar
    • 4
  1. 1.Centro de Estudos de Fenómenos de TransporteDepartamento de Engenharia Mecânica, Faculdade de Engenharia, Universidade do PortoPortoPortugal
  2. 2.Department of Civil and Environmental EngineeringUniversity of CaliforniaDavisUSA
  3. 3.Department of Mechanical EngineeringHanbat National UniversityYuseong-guSouth Korea
  4. 4.Department of Biomedical and Chemical EngineeringSyracuse UniversitySyracuseUSA

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