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

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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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Author notes

  1. P. R. Resende

    Present address: Engenharia de Controle e Automação, Campus Experimental de Sorocaba, Universidade Estadual Paulista, 18087-180, Sorocaba- SP, Brazil

Authors and Affiliations

  1. Centro de Estudos de Fenómenos de Transporte, Departamento de Engenharia Mecânica, Faculdade de Engenharia, Universidade do Porto, Dr. Roberto Frias s/n, 4200-465, Porto, Portugal

    P. R. Resende & F. T. Pinho

  2. Department of Civil and Environmental Engineering, University of California, Davis, CA, 95616, USA

    B. A. Younis

  3. Department of Mechanical Engineering, Hanbat National University, 125 Dongseo-daero, Yuseong-gu, Daejeon, 305-701, South Korea

    K. Kim

  4. Department of Biomedical and Chemical Engineering, Syracuse University, Syracuse, NY, 13244, USA

    R. Sureshkumar

Authors
  1. P. R. Resende
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  2. F. T. Pinho
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  3. B. A. Younis
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  4. K. Kim
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  5. R. Sureshkumar
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Correspondence to F. T. Pinho.

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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

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