TY - JOUR

T1 - A viscoelastic k - ε - v2 - f turbulent flow model valid up to the maximum drag reduction limit

AU - Masoudian, M.

AU - Kim, K.

AU - Pinho, F. T.

AU - Sureshkumar, R.

N1 - Funding Information:
Financial support provided by Fundação para a Ciência e a Tecnologia (FCT), COMPETE and FEDER through Project PTDC/EME-MFE/113589/2009 is gratefully acknowledged by M.M. and FTP. R.S. gratefully acknowledges support from the US National Science Foundation through Grant CBET1055219.

PY - 2013/12

Y1 - 2013/12

N2 - A tensorially consistent near-wall four equation model is developed to model turbulent flow of dilute polymer solutions. The model is validated up to the maximum drag reduction limit, by utilizing the data obtained from direct numerical simulations using the finitely extensible nonlinear elastic-Peterlin (FENE-P) constitutive model. Eight sets of direct numerical simulation (DNS) data are used to analyze budgets of relevant physical quantities, such as the nonlinear terms in the FENE-P constitutive equation, the turbulent kinetic energy, the wall normal Reynolds stress and dissipation transport. Closures were developed in the framework of the k-ε-v2-f model for the viscoelastic stress work, the viscoelastic destruction of the rate of dissipation, the viscoelastic turbulent viscosity, and the interactions between the fluctuating components of the conformation tensor and of the velocity gradient tensor terms. Predicted polymer stress, velocity profiles and turbulent flow characteristics are all in good agreement with the literature, from which six independent DNS data sets were used covering a wide range of rheological and flow parameters, including high Reynolds number flows, and showing significant improvements over the corresponding predictions of other existing models.

AB - A tensorially consistent near-wall four equation model is developed to model turbulent flow of dilute polymer solutions. The model is validated up to the maximum drag reduction limit, by utilizing the data obtained from direct numerical simulations using the finitely extensible nonlinear elastic-Peterlin (FENE-P) constitutive model. Eight sets of direct numerical simulation (DNS) data are used to analyze budgets of relevant physical quantities, such as the nonlinear terms in the FENE-P constitutive equation, the turbulent kinetic energy, the wall normal Reynolds stress and dissipation transport. Closures were developed in the framework of the k-ε-v2-f model for the viscoelastic stress work, the viscoelastic destruction of the rate of dissipation, the viscoelastic turbulent viscosity, and the interactions between the fluctuating components of the conformation tensor and of the velocity gradient tensor terms. Predicted polymer stress, velocity profiles and turbulent flow characteristics are all in good agreement with the literature, from which six independent DNS data sets were used covering a wide range of rheological and flow parameters, including high Reynolds number flows, and showing significant improvements over the corresponding predictions of other existing models.

KW - Drag reduction

KW - FENE-P fluid

KW - Turbulent flow

KW - Viscoelastic DNS

KW - Viscoelastic RANS model

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U2 - 10.1016/j.jnnfm.2013.09.007

DO - 10.1016/j.jnnfm.2013.09.007

M3 - Article

AN - SCOPUS:84886827537

VL - 202

SP - 99

EP - 111

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

SN - 0377-0257

ER -