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For dilute solutions of polymers, chaotic flow states can occur at lower Reynolds numbers than required for inertial turbulence in Newtonian fluids, offering the potential for increased mixing efficiency. These states may be promoted by the…

Fluid Dynamics · Physics 2026-04-08 Jack R. C. King , Henry M. Broadley , Miguel Beneitez

Turbulence generally arises in shear flows if velocities and hence inertial forces are sufficiently large. In striking contrast, viscoelastic fluids can exhibit disordered motion even at vanishing inertia. Intermediate between these cases,…

Fluid Dynamics · Physics 2022-01-05 George H. Choueiri , Jose M. Lopez , Atul Varshney , Sarath Sankar , Björn Hof

Elasto-inertial turbulence (EIT) is a new, two-dimensional chaotic flow state observed in polymer solutions with possible connections to inertialess elastic turbulence and drag-reduced Newtonian turbulence. In this Letter, we argue that the…

Fluid Dynamics · Physics 2020-10-14 Jacob Page , Yves Dubief , Rich R. Kerswell

We show that viscoelastic plane Poiseuille flow becomes linearly unstable in the absence of inertia, in the limit of high elasticities, for ultra-dilute polymer solutions. While inertialess elastic instabilities have been predicted for…

Fluid Dynamics · Physics 2021-09-29 Mohammad Khalid , V. Shankar , Ganesh Subramanian

The goal of the present study is: (i) to demonstrate the two-dimensional nature of the elasto-inertial instability in elasto-inertial turbulence (EIT), (ii) to identify the role of the bi-dimensional instability in three-dimensional EIT…

Fluid Dynamics · Physics 2018-02-07 S. Sid , Y. Dubief , V. E. Terrapon

Based on everyday experience fluid flows tend to be ordered and quiescent if inertial forces are low and held in check by viscosity. This intuition spectacularly fails in the case of complex macromolecular fluids like polymer melts, paints…

Fluid Dynamics · Physics 2026-03-02 Ziyin Lu , Björn Hof

Dynamic properties of elasto-inertial turbulence (EIT) are studied in a Taylor-Couette geometry. EIT is a chaotic flow state that develops upon both non-negligible inertia and viscoelasticity. A combination of direct flow visualisation and…

Fluid Dynamics · Physics 2023-01-06 Masoud Moazzen , Tom Lacassagne , Vincent Thomy , S. Amir Bahrani

The chaotic flow of elastic fluids at low Reynolds number (Re) is typically distinguished into elasto-inertial and elastic turbulence (EIT/ET). However, the clear separation among these two turbulent regimes in parallel flows with a gradual…

Fluid Dynamics · Physics 2024-12-31 Giulio Foggi Rota , Christian Amor , Soledad Le Clainche , Marco Edoardo Rosti

The recently-discovered centre-mode instability of rectilinear viscoelastic shear flow (Garg et al. Phy. Rev. Lett. 121, 024502, 2018) has offered an explanation for the origin of elasto-inertial turbulence (EIT) which occurs at lower…

Fluid Dynamics · Physics 2022-04-20 Gergely Buza , Jacob Page , Rich R. Kerswell

The interplay between viscoelasticity and inertia in dilute polymer solutions at high deformation rates can result in inertio-elastic instabilities. The nonlinear evolution of these instabilities generates a state of turbulence with…

Fluid Dynamics · Physics 2023-05-25 Sami Yamani , Yashasvi Raj , Tamer A. Zaki , Gareth H. McKinley , Irmgard Bischofberger

Early turbulence in periodic cylinder arrays is of particular interest in many practical applications to enhance mixing and material/heat exchange. In this study, we reveal a new early transition pathway to a chaotic wavy state and drag…

Fluid Dynamics · Physics 2024-10-17 Lu Zhu , Rich R. Kerswell

Elasto-inertial turbulence (EIT) is a recently discovered two-dimensional chaotic flow state observed in dilute polymer solutions. It has been hypothesised that the dynamical origins of EIT are linked to a center-mode instability, whose…

Fluid Dynamics · Physics 2023-08-23 Miguel Beneitez , Jacob Page , Yves Dubief , Rich R. Kerswell

Elastic turbulence is a chaotic flow state observed in dilute polymer solutions in the absence of inertia. It was discovered experimentally in circular geometries and has long been thought to require a finite amplitude perturbation in…

Fluid Dynamics · Physics 2023-08-08 Miguel Beneitez , Jacob Page , Rich R. Kerswell

Elasto-inertial turbulence is a new state of turbulence found in flows with polymer additives . The dynamics of turbulence generated and controlled by such additives is investigated from the perspective of the coupling between polymer…

Fluid Dynamics · Physics 2015-06-12 Yves Dubief , Vincent E. Terrapon , Julio Soria

Turbulence is ubiquitous in nature yet even for the case of ordinary Newtonian fluids like water our understanding of this phenomenon is limited. Many liquids of practical importance however are more complicated (e.g. blood, polymer melts…

Two kinds of nonlinearities coexist in viscoelastic fluid flows, i.e., inertia and elasticity, which can engender different types of chaotic states including IT, DRT, ET and EIT. The state of MDR, the ultimate state of DRT induced by adding…

Fluid Dynamics · Physics 2024-06-19 Zhang Wenhua , Zhang Hongna , Yuke Li , Yu Bo , Li Fengchen

Elasto-inertial turbulence (EIT) is primarily driven by polymer elasticity, yet the modulating role of fluid inertia is non-negligible and remains largely unexplored. To investigate the effect of inertia, we perform direct numerical…

Fluid Dynamics · Physics 2026-04-24 Haotian Cheng , Hongna Zhang , Wenhua Zhang , Yuke Li , Xiaobin Li , Fengchen Li

For decades, transition to turbulence in viscoelastic parallel shear flows was believed to require nonlinear instabilities. We provide numerical evidences for a new wall-mode linear instability that directly triggers the transition to…

Fluid Dynamics · Physics 2022-11-18 Lu Zhu , Li Xi

Elasto-inertial turbulence (EIT) has been demonstrated to be able to sustain in two-dimensional (2D) channel flow; however the systematic investigations on 2D EIT remain scare. This study addresses this gap by examining the statistical…

Fluid Dynamics · Physics 2025-09-10 Haotian Cheng , Hongna Zhang , Wenhua Zhang , Suming Wang , Yuke Li , Xiaobin Li , Fengchen Li

The transition to turbulence in a plane Poiseuille flow of dilute polymer solutions is studied by direct numerical simulations of a FENE-P fluid. A range of Reynolds number ($Re$) in $2000 \le Re \le 5000$ is studied but with the same level…

Fluid Dynamics · Physics 2023-11-07 Alexia Martinez Ibarra , Jae Sung Park
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