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Elastic-turbulence-induced melting of a nonequilirium vortex crystal in a forced thin fluid film

Gupta, A and Pandit, R (2020) Elastic-turbulence-induced melting of a nonequilirium vortex crystal in a forced thin fluid film. In: 14th European Turbulence Conference, ETC 2013, 1-4 September 2013, Ecole Normale Superieure de LyonLyon; France.

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Abstract

We perform a direct numerical simulation (DNS) of the forced, incompressible two-dimensional Navier-Stokes equation coupled with the FENE-P equations for the polymer-conformation tensor. The forcing is such that, without polymers and at low Reynolds numbers (Re), the film attains a steady state that is a square lattice of vortices and anti-vortices. We find that, as we increase the Weissenberg number (Wi), this lattice undergoes a series of nonequilibrium phase transitions, first to a distorted, steady crystals, then to a sequence of crystals that oscillate in time, periodically, at low Wi, and quasiperiodically, for slightly larger Wi. Finally, the system becomes disordered and displays spatiotepmoral chaos and turbulence. We obtain the nonequilibrium phase diagram for this system in the Wi � Re plane. We show that the Okubo-Weiss parameter � provides us with a natural measure for characterizing the phases and transitions in this diagram. Copyright © ETC 2013 - 14th European Turbulence Conference.All rights reserved.

Item Type: Conference Paper
Publication: ETC 2013 - 14th European Turbulence Conference
Publisher: Zakon Group LLC
Additional Information: cited By 0; Conference of 14th European Turbulence Conference, ETC 2013 ; Conference Date: 1 September 2013 Through 4 September 2013; Conference Code:157594
Keywords: Crystals; Phase diagrams; Polymers; Reynolds number; Turbulence; Vortex flow, Elastic turbulences; Low Reynolds number; Nonequilibrium phase diagrams; Nonequilibrium phase transitions; Polymer conformation; Thin fluid films; Two-dimensional Navier-Stokes equations; Weissenberg number, Navier Stokes equations
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 21 Dec 2020 06:15
Last Modified: 21 Dec 2020 06:15
URI: http://eprints.iisc.ac.in/id/eprint/65882

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