A low Reynolds number turbulence closure for viscoelastic fluids

F. T. Pinho, C. F. Li, B. A. Younis, R. Sureshkumar

Research output: Contribution to journalArticle

34 Scopus citations

Abstract

A Reynolds-averaged Navier-Stokes equation framework is developed for modeling polymer-induced turbulent drag reduction by utilizing the finitely extensible nonlinear elastic-Peterlin (FENE-P) constitutive relationship to describe fluid rheology. A self-consistent system of model equations is derived. The dominant correlations among the flow and polymer conformation variables are identified by analyzing results from recent direct numerical simulations (DNS) for dilute polymer solutions. Closures are developed for turbulent correlations that arise from viscoelasticity and incorporated into a single-point k - ε model. Comparison of model predictions with DNS data obtained for an identical set of rheological and geometric parameters in the low drag reduction regime allows for a critical evaluation of the model and closure approximations. Overall, the model predictions are encouraging. This approach can be extended to higher order turbulence models and cases with higher levels of drag reduction.

Original languageEnglish (US)
Pages (from-to)89-108
Number of pages20
JournalJournal of Non-Newtonian Fluid Mechanics
Volume154
Issue number2-3
DOIs
StatePublished - Oct 1 2008
Externally publishedYes

Keywords

  • DNS
  • Drag reduction
  • FENE-P
  • Turbulence model
  • Viscoelastic
  • Viscoelastic stress work

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics

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