A low Reynolds number turbulence closure for viscoelastic fluids

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

doi:10.1016/j.jnnfm.2008.02.008

A low Reynolds number turbulence closure for viscoelastic fluids

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

Research output: Contribution to journal › Article › peer-review

56 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 language	English (US)
Pages (from-to)	89-108
Number of pages	20
Journal	Journal of Non-Newtonian Fluid Mechanics
Volume	154
Issue number	2-3
DOIs	https://doi.org/10.1016/j.jnnfm.2008.02.008
State	Published - Oct 2008
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

General Chemical Engineering
General Materials Science
Condensed Matter Physics
Mechanical Engineering
Applied Mathematics

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10.1016/j.jnnfm.2008.02.008

Cite this

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title = "A low Reynolds number turbulence closure for viscoelastic fluids",

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.",

keywords = "DNS, Drag reduction, FENE-P, Turbulence model, Viscoelastic, Viscoelastic stress work",

author = "Pinho, {F. T.} and Li, {C. F.} and Younis, {B. A.} and R. Sureshkumar",

note = "Funding Information: This work was initiated during FT Pinho's stay at the Department of Civil and Environmental Engineering at the University of California, Davis and at the Department of Chemical Engineering at Washington University of St. Louis during his 2005–2006 sabbatical leave. FTP thanks Funda{\c c}{\~a}o Calouste Gulbenkian (Scholarship 72259) and Funda{\c c}{\~a}o para a Ci{\^e}ncia e a Tecnologia (Scholarship SFRH/BSAB/507/2005) for funding these extended stays, and gratefully acknowledges further funding from FEDER and FCT via project POCI/56342/EQU/2004. R.S. would like to acknowledge NSF CTS grant 0335348. During these extended periods in the US, FTP acknowledges the many discussions with colleagues, especially Prof. Bamin Khomami, now of the University of Tennessee in Knoxville. ",

year = "2008",

month = oct,

doi = "10.1016/j.jnnfm.2008.02.008",

language = "English (US)",

volume = "154",

pages = "89--108",

journal = "Journal of Non-Newtonian Fluid Mechanics",

issn = "0377-0257",

publisher = "Elsevier",

number = "2-3",

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TY - JOUR

T1 - A low Reynolds number turbulence closure for viscoelastic fluids

AU - Pinho, F. T.

AU - Li, C. F.

AU - Younis, B. A.

AU - Sureshkumar, R.

N1 - Funding Information: This work was initiated during FT Pinho's stay at the Department of Civil and Environmental Engineering at the University of California, Davis and at the Department of Chemical Engineering at Washington University of St. Louis during his 2005–2006 sabbatical leave. FTP thanks Fundação Calouste Gulbenkian (Scholarship 72259) and Fundação para a Ciência e a Tecnologia (Scholarship SFRH/BSAB/507/2005) for funding these extended stays, and gratefully acknowledges further funding from FEDER and FCT via project POCI/56342/EQU/2004. R.S. would like to acknowledge NSF CTS grant 0335348. During these extended periods in the US, FTP acknowledges the many discussions with colleagues, especially Prof. Bamin Khomami, now of the University of Tennessee in Knoxville.

PY - 2008/10

Y1 - 2008/10

N2 - 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.

AB - 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.

KW - DNS

KW - Drag reduction

KW - FENE-P

KW - Turbulence model

KW - Viscoelastic

KW - Viscoelastic stress work

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JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

IS - 2-3

ER -

A low Reynolds number turbulence closure for viscoelastic fluids

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Keywords

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