Article

Flow, Turbulence and Combustion

, Volume 90, Issue 1, pp 69-94

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

  • P. R. ResendeAffiliated withCentro de Estudos de Fenómenos de Transporte, Departamento de Engenharia Mecânica, Faculdade de Engenharia, Universidade do Porto
  • , F. T. PinhoAffiliated withCentro de Estudos de Fenómenos de Transporte, Departamento de Engenharia Mecânica, Faculdade de Engenharia, Universidade do Porto Email author 
  • , B. A. YounisAffiliated withDepartment of Civil and Environmental Engineering, University of California
  • , K. KimAffiliated withDepartment of Mechanical Engineering, Hanbat National University
  • , R. SureshkumarAffiliated withDepartment of Biomedical and Chemical Engineering, Syracuse University

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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.

Keywords

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