Polymer scission in turbulent flows

Vincenzi, Dario; Watanabe, Takeshi; Ray, Samriddhi Sankar; Picardo, Jason R.

doi:10.1017/jfm.2020.1092

Cited by 11 publications

(16 citation statements)

References 68 publications

(169 reference statements)

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“…2018, 2020; Vincenzi et al. 2021). The mechanical behaviour of flexible fibres in turbulence has been characterised with specific interest towards the buckling of short fibres, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…having sub-Kolmogorov length (Allende, Henry & Bec 2018), and the spatial conformation and deformation of finite-size fibres, i.e. with length within the inertial subrange or comparable to the integral length scale (Brouzet et al 2014;Gay, Favier & Verhille 2018;Dotto & Marchioli 2019;Sulaiman et al 2019;Dotto, Soldati & Marchioli 2020;Picardo et al 2020); further recent developments include the aforementioned modelling of fragmentation processes (Allende et al 2020;Brouzet et al 2021;Vincenzi et al 2021).…”

Section: Introductionmentioning

confidence: 99%

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On the fully coupled dynamics of flexible fibres dispersed in modulated turbulence

2022

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The present work investigates the mechanical behaviour of finite-size, elastic and inertial fibres freely moving in a homogeneous and isotropic turbulent flow at moderate Reynolds number. Four-way coupled, direct numerical simulations, based on a finite difference discretisation and the immersed boundary method, are performed to mutually couple the dynamics of fibres and fluid turbulence, allowing us to account for the backreaction of the dispersed phase to the carrier flow. An extensive parametric study is carried out in zero-gravity condition over the characteristic properties of the suspension, i.e. fibre's linear density (from iso-dense to denser-than-the-fluid fibres), length (from short fibres comparable with the dissipative scale to long fibres comparable with the integral scale) and bending stiffness (from highly flexible to almost rigid fibres), as well as the concentration (from dilute to non-dilute suspensions). Results reveal the existence of a robust turbulence modulation mechanism that is primarily controlled by the mass fraction of the suspension (with only a minor influence of the fibre's bending stiffness), which is characterised in detail by means of a scale-by-scale analysis in Fourier space. Despite such alteration with respect to the single-phase case due to the non-negligible backreaction, fibres experience only two possible flapping states (previously identified in the very dilute condition) while being transported and deformed by the flow. In addition, we show that the maximum curvature obeys different scaling laws that can be derived from the fibre dynamical equation. Finally, we explore the clustering and preferential alignment of fibres within the flow, highlighting the peculiar role of inertia and elasticity.

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“…2018, 2020; Vincenzi et al. 2021). The mechanical behaviour of flexible fibres in turbulence has been characterised with specific interest towards the buckling of short fibres, i.e.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the fully coupled dynamics of flexible fibres dispersed in modulated turbulence

2022

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“…It is used to define the Weissenberg number, which generally quantifies polymer deformations in turbulent flows (Vincenzi et al. 2021). The second one is the resonant frequency, which has been used by Rosti et al.…”

Section: Modellingmentioning

confidence: 99%

“…2013; Loisy & Naso 2017; Lohse 2018; Vincenzi et al. 2021). The question of the role of flexibility in the advection of fibres in turbulent flows has been raised recently.…”

Section: Introductionmentioning

confidence: 99%

Deformability of discs in turbulence

Verhille

2021

J. Fluid Mech.

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The aim of this study is to investigate experimentally the transition from a rigid regime to a deformed regime for flexible discs freely advected in turbulent flows. For a given disc, the amplitude of the deformation is expected to increase when its bending modulus decreases or when the turbulent kinetic energy increases. To quantify this qualitative argument, experiments are performed where the deformation of flexible discs is measured using three cameras. The amplitude of the deformation has been characterised by the eigenvalues of the moment of inertia tensor. Experimental results exhibit a transition from a rigid regime to a deformed regime that depends on the size, the density and the flexibility of the disc and the turbulent kinetic energy. The modelling of this transition is a generalisation and an extension of the previous models used to characterise the deformation of flexible fibres in turbulent flows.

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“…To this end, we use a database of Lagrangian trajectories from a direct numerical simulation (DNS) of the Navier-Stokes equations in a periodic cube at Taylor-microscale Reynolds number R λ = 111 (see Refs. [30,31] for the details). The velocity gradient κ(t) is evaluated along 10 4 trajectories and is then inserted in Eq.…”

Section: Polymer Model and Flow Configurationsmentioning

confidence: 99%

Polymer stretching in laminar and random flows: entropic characterization

Musacchio,

Steinberg,

Vincenzi

2021

Preprint

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Polymers in non-uniform flows undergo strong deformation, which in the presence of persistent stretching can result in the coil-stretch transition. The statistics of polymer deformation depends strongly on the nature and the properties of the flow. Sultanov et al. [Phys. Rev. E 103, 033107 (2021)] have characterized the coil-stretch transition in an elastic turbulence of von Kármán flow by measuring the entropy of polymer extension as a function of the Weissenberg number. The entropic characterization of the coil-stretch transition is here extended to a set of laminar and random velocity fields that are benchmarks for the study of polymer stretching in flow. In the case of random velocity fields, a suitable description of the transition is obtained by considering the entropy of the logarithm of the extension instead of the entropy of the extension itself. Entropy emerges as an effective tool for capturing the coil-stretch transition and comparing its features in different flows.

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Polymer scission in turbulent flows

Abstract: Abstract

Cited by 11 publications

References 68 publications

On the fully coupled dynamics of flexible fibres dispersed in modulated turbulence

On the fully coupled dynamics of flexible fibres dispersed in modulated turbulence

Deformability of discs in turbulence

Polymer stretching in laminar and random flows: entropic characterization

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