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Elastoinertial turbulence (EIT) is a self-sustaining chaotic state resulting from the interplay between inertia and elasticity in the flow of dilute polymeric solutions, and its emergence is believed to limit the achievable drag reduction…

Fluid Dynamics · Physics 2026-05-18 Manish Kumar , Michael D. Graham

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

Simulations of elastoinertial turbulence (EIT) of a polymer solution at low Reynolds number are shown to display localized polymer stretch fluctuations. These are very similar to structures arising from linear stability…

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

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

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

Viscoelastic shear flows support additional chaotic states beyond simple Newtonian turbulence. In vanishing Reynolds number flows, the nonlinearity in the polymer evolution equation alone can sustain inertialess 'elastic' turbulence (ET)…

Fluid Dynamics · Physics 2024-08-22 Miguel Beneitez , Jacob Page , Yves Dubief , 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

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

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

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

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…

Elastoinertial turbulence (EIT) is a chaotic state that emerges in the flows of dilute polymer solutions. Direct numerical simulation (DNS) of EIT is highly computationally expensive due to the need to resolve the multi-scale nature of the…

Fluid Dynamics · Physics 2025-03-19 Manish Kumar , C. Ricardo Constante-Amores , Michael D. Graham

Two dimensional channel flow simulations of FENE-P fluid in the elasto-inertial turbulence regime reveal distinct regimes ranging from chaos to a steady travelling wave which takes the form of an arrowhead structure. This coherent structure…

Fluid Dynamics · Physics 2022-07-08 Yves Dubief , Jacob Page , Rich R. Kerswell , Vincent E. Terrapon , Victor Steinberg

Direct simulations of two-dimensional plane channel flow of a viscoelastic fluid at Reynolds number Re = 3000 reveal the existence of a family of attractors whose structure closely resembles the linear Tollmien-Schlichting (TS) mode, and in…

Fluid Dynamics · Physics 2020-07-15 Ashwin Shekar , Ryan M. McMullen , Beverley J. McKeon , Michael D. Graham

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

Direct simulations of two-dimensional channel flow of a viscoelastic fluid have revealed the existence of a family of Tollmien-Schlichting (TS) attractors that is nonlinearly self-sustained by viscoelasticity [Shekar et al., J.Fluid Mech.…

Fluid Dynamics · Physics 2021-10-04 Ashwin Shekar , Ryan M. McMullen , Beverley J. McKeon , Michael D. Graham

The research on elasto-inertial turbulence (EIT), a new type of turbulent flow, has reached the stage of identifying the minimal flow unit (MFU). On this issue, direct numerical simulations (DNSs) of FENE-P fluid flow in two-dimensional…

Fluid Dynamics · Physics 2024-02-12 Zhang Hongna , Cheng Haitian , Wang Suming , Zhang Wenhua , Li Xiaobin , Li Fengchen

Recently, the nature of viscoelastic drag-reducing turbulence (DRT), especially maximum drag reduction (MDR) state, has become a focus of controversy. It has long been regarded as polymers-modulated inertial turbulence (IT), but is…

Fluid Dynamics · Physics 2021-08-11 Zhang Wen-Hua , Zhang Hong-Na , Li Yu-Ke , Li Feng-Chen

Nonlinear traveling waves that are precursors to laminar-turbulent transition and capture the main structures of the turbulent buffer layer have recently been found to exist in all the canonical parallel flow geometries. We study the effect…

Fluid Dynamics · Physics 2009-11-11 Wei Li , Li Xi , Michael D. Graham
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