title: Impact of the Peterlin approximation on polymer dynamics in turbulent flows.
abstract: We study the impact of the Peterlin approximation on the statistics of the end-to-end separation of polymers in a turbulent flow. The finitely extensible nonlinear elastic (FENE) model and the FENE model with the Peterlin approximation (FENE-P) are numerically integrated along a large number of Lagrangian trajectories resulting from a direct numerical simulation of three-dimensional homogeneous isotropic turbulence. Although the FENE-P model yields results in qualitative agreement with those of the FENE model, quantitative differences emerge. The steady-state probability of large extensions is overestimated by the FENE-P model. The alignment of polymers with the eigenvectors of the rate-of-strain tensor and with the direction of vorticity is weaker when the Peterlin approximation is used. At large Weissenberg numbers, the correlation times of both the extension and of the orientation of polymers are underestimated by the FENE-P model.
authors.affiliation: Laboratoire Jean Alexandre Dieudonné, Université Nice Sophia Antipolis, CNRS, UMR 7351, 06100 Nice, France.
authors.forename: Dario
authors.initials: D
authors.lastname: Vincenzi
authors.affiliation: TIFR Center for Interdisciplinary Sciences, Tata Institute of Fundamental Research, Narsingi, Hyderabad 500075, India.
authors.forename: Prasad
authors.initials: P
authors.lastname: Perlekar
authors.affiliation: Department of Physics and INFN, University of Rome "Tor Vergata," Via della Ricerca Scientifica 1, 00133 Roma, Italy.
authors.forename: Luca
authors.initials: L
authors.lastname: Biferale
authors.affiliation: Department of Applied Physics, and Department of Mathematics and Computer Science, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands.|IAC, CNR, Via dei Taurini 19, I-00185 Roma, Italy.
authors.forename: Federico
authors.initials: F
authors.lastname: Toschi