A Reynolds stress model for turbulent flow of homogeneous polymer solutions

M. Masoudian, K. Kim, F. T. Pinho, R. Sureshkumar

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


Using a priori analyses of direct numerical simulation (DNS) data, a Reynolds stress model (RSM) is developed to account for the influence of polymer additives on turbulent flow over a wide range of flow conditions. The Finitely Extensible Nonlinear Elastic-Peterlin (FENE-P) rheological constitutive model is utilized to evaluate the polymer contribution to the stress tensor. Thirteen DNS data sets are used to analyze the budgets of elastic stress-velocity gradient correlations as well as Reynolds stress and dissipation transport. Closures are developed in the framework of the RSM model for all the required unknown and non-linear terms. The polymer stresses, velocity profiles, turbulent flow statistics and the percentage of friction drag reduction predicted by the RSM model are in good agreement with present and those obtained from independent DNS data over a wide range of rheological and flow parameters.

Original languageEnglish (US)
Pages (from-to)220-235
Number of pages16
JournalInternational Journal of Heat and Fluid Flow
StatePublished - 2015


  • Drag reduction
  • FENE-P fluid
  • Viscoelastic DNS
  • Viscoelastic RANS model

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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