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Elastoinertial turbulence (EIT) is a chaotic flow resulting from the interplay between inertia and viscoelasticity in wall bounded shear flows. Understanding EIT is important because it is thought to set a limit on the effectiveness of…

Fluid Dynamics · Physics 2024-07-25 Manish Kumar , Michael D. Graham

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

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) 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

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

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

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

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 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…

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 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

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

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

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

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

We investigate theoretically the near-wall region in elastic turbulence of a dilute polymer solution in the limit of large Weissenberg number. As it was established experimentally, elastic turbulence possesses a boundary layer where the…

Fluid Dynamics · Physics 2019-02-20 S. Belan , A. Chernykh , V. Lebedev

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 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

Elastic turbulence (ET), observed in flows of sufficiently elastic polymer solution at small inertia, is characterized by chaotic motions and power-law scaling of energy spectrum ($E$) in both wavenumber ($k$) and frequency ($\omega$):…

We show that, at low inertia and large elasticity, shell models of viscoelastic fluids develop a chaotic behaviour with properties similar to those of elastic turbulence. The low dimensionality of shell models allows us to explore a wide…

Fluid Dynamics · Physics 2016-03-08 Samriddhi Sankar Ray , Dario Vincenzi
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