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Statistics of polymer extensions in turbulent channel flow
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.
NORDITA.ORCID iD: 0000-0001-6162-7112
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0002-4346-4732
2012 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 86, no 5, 056314- p.Article in journal (Refereed) Published
Abstract [en]

We present direct numerical simulations of turbulent channel flow with passive Lagrangian polymers. To understand the polymer behavior we investigate the behavior of infinitesimal line elements and calculate the probability distribution function (PDF) of finite-time Lyapunov exponents and from them the corresponding Cramer's function for the channel flow. We study the statistics of polymer elongation for both the Oldroyd-B model (for Weissenberg number Wi<1) and the FENE model. We use the location of the minima of the Cramer's function to define the Weissenberg number precisely such that we observe coil-stretch transition at Wi1. We find agreement with earlier analytical predictions for PDF of polymer extensions made by Balkovsky, Fouxon, and Lebedev for linear polymers (Oldroyd-B model) with Wi <1 and by Chertkov for nonlinear FENE-P model of polymers. For Wi >1 (FENE model) the polymer are significantly more stretched near the wall than at the center of the channel where the flow is closer to homogenous isotropic turbulence. Furthermore near the wall the polymers show a strong tendency to orient along the streamwise direction of the flow, but near the center line the statistics of orientation of the polymers is consistent with analogous results obtained recently in homogeneous and isotropic flows.

Place, publisher, year, edition, pages
2012. Vol. 86, no 5, 056314- p.
Keyword [en]
Numerical-Simulation, Wall Flows, Dynamics, Shear, Fields, Chain
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Other Physics Topics
Identifiers
URN: urn:nbn:se:kth:diva-107997DOI: 10.1103/PhysRevE.86.056314ISI: 000311550700009Scopus ID: 2-s2.0-84870658157OAI: oai:DiVA.org:kth-107997DiVA: diva2:579500
Funder
Swedish Research Council, 2011-5423Swedish e‐Science Research Center
Note

QC 20121220

Available from: 2012-12-20 Created: 2012-12-19 Last updated: 2017-12-06Bibliographically approved

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Mitra, DhrubadityaBrandt, Luca

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