Development of a low-Reynolds-number k-ω model for FENE-P fluids

P. R. Resende; F. T. Pinho; B. A. Younis; K. Kim; R. Sureshkumar

doi:10.1007/s10494-012-9424-x

Development of a low-Reynolds-number k-ω model for FENE-P fluids

P. R. Resende, F. T. Pinho, B. A. Younis, K. Kim, R. Sureshkumar

Department of Biomedical & Chemical Engineering

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

21 Scopus citations

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.

Original language	English (US)
Pages (from-to)	69-94
Number of pages	26
Journal	Flow, Turbulence and Combustion
Volume	90
Issue number	1
DOIs	https://doi.org/10.1007/s10494-012-9424-x
State	Published - Jan 2013

Keywords

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

ASJC Scopus subject areas

General Chemical Engineering
General Physics and Astronomy
Physical and Theoretical Chemistry

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title = "Development of a low-Reynolds-number k-ω model for FENE-P fluids",

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, FENE-P, Polymer solutions, k-ω turbulence model",

author = "Resende, {P. R.} and Pinho, {F. T.} and Younis, {B. A.} and K. Kim and R. Sureshkumar",

note = "Funding Information: Acknowledgements The authors gratefully acknowledge funding from FEDER and FCT through Projects POCI/56342/EQU/2004, PTDC/EME-MFE/113589/2009 and SFRH/BD/18475/2004. K.K. would like to acknowledge the support from KISTI Supercomputing Center (No. KSC-2009-S02-0013). RS is grateful to NSF for grant CBET 1055219.",

year = "2013",

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doi = "10.1007/s10494-012-9424-x",

language = "English (US)",

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pages = "69--94",

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AU - Resende, P. R.

AU - Pinho, F. T.

AU - Younis, B. A.

AU - Kim, K.

AU - Sureshkumar, R.

N1 - Funding Information: Acknowledgements The authors gratefully acknowledge funding from FEDER and FCT through Projects POCI/56342/EQU/2004, PTDC/EME-MFE/113589/2009 and SFRH/BD/18475/2004. K.K. would like to acknowledge the support from KISTI Supercomputing Center (No. KSC-2009-S02-0013). RS is grateful to NSF for grant CBET 1055219.

PY - 2013/1

Y1 - 2013/1

N2 - 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.

AB - 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.

KW - Drag reduction

KW - FENE-P

KW - Polymer solutions

KW - k-ω turbulence model

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Development of a low-Reynolds-number k-ω model for FENE-P fluids

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Keywords

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