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Recent studies of pressure-driven flows of dilute polymer solutions in straight channels demonstrated the existence of two-dimensional coherent structures that are disconnected from the laminar state and appear through a sub-critical…

Fluid Dynamics · Physics 2023-03-29 Martin Lellep , Moritz Linkmann , Alexander Morozov

Solutions of long, flexible polymer molecules are complex fluids that simultaneously exhibit fluid-like and solid-like behaviour. When subjected to an external flow, dilute polymer solutions exhibit elastic turbulence - a unique, chaotic…

Fluid Dynamics · Physics 2024-02-07 Martin Lellep , Moritz Linkmann , Alexander Morozov

Solutions of long, flexible polymer molecules are complex fluids that simultaneously exhibit fluid-like and solid-like behaviour. When subjected to external flows, dilute polymer solutions develop elastic turbulence - a unique chaotic flow…

Fluid Dynamics · Physics 2025-09-04 Alexander Morozov , Martin Lellep , Damiano Capocci , Moritz Linkmann

The addition of a small amount of long-chain polymers confers viscoelastic properties to Newtonian flows. The resulting non-Newtonian solution now exhibits different dynamics, such as enhanced mixing at low Reynolds, where elastic…

We investigate turbulence in dilute polymer solutions when polymers are strongly stretched by the flow. We establish power-law spectrum of velocity, which is not associated with a flux of a conserved quantity, in two cases. The first case…

Chaotic Dynamics · Physics 2009-11-07 A. Fouxon , V. Lebedev

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

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

Following our first report (A. Groisman and V. Steinberg, $\sl Nature$ $\bf 405$, 53 (2000)) we present an extended account of experimental observations of elasticity induced turbulence in three different systems: a swirling flow between…

Chaotic Dynamics · Physics 2009-11-10 Alexander Groisman , Victor Steinberg

I shortly describe the main results on elastically driven instabilities and elastic turbulence in viscoelastic inertia-less flows with curved streamlines. Then I describe a theory of elastic turbulence and prediction of elastic waves at…

Fluid Dynamics · Physics 2022-06-08 V. Steinberg

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 one of the most fascinating phenomena in nature and one of the biggest challenges for modern physics. It is common knowledge that a flow of a simple, Newtonian fluid is likely to be turbulent, when velocity is high, viscosity…

Chaotic Dynamics · Physics 2017-05-10 Alexander Groisman , Victor Steinberg

We study experimentally the interfacial instability between a layer of dilute polymer solution and water flowing in a thin capillary. The use of microfluidic devices allows us to observe and quantify in great detail the features of the…

Fluid Dynamics · Physics 2015-05-20 Oriane Bonhomme , Alexander Morozov , Jacques Leng , Annie Colin

Remarkably, even under negligible inertia, the addition of microstructural agents can generate chaotic flow fields. Such behavior can arise in polymer solutions, leading to elastic turbulence, or from active, self-driven particles, which…

Fluid Dynamics · Physics 2026-01-15 Vedad Dzanic , Sumesh P. Thampi , Julia M. Yeomans

In the present study, we investigated flow structures and properties of elastic turbulence in straight 2D channel viscoelastic fluid flow and tested earlier observations. We discovered self-organized cycling process of weakly unstable…

Fluid Dynamics · Physics 2020-09-28 Narsing K. Jha , Victor Steinberg

This paper is focused on the fundamental mechanism(s) of viscoelastic turbulence that lead to polymer induced turbulent drag reduction phenomenon. A great challenge in this problem is the computation of viscoelastic turbulent flows, since…

Fluid Dynamics · Physics 2011-11-18 Vassilios Dallas , J. Christos Vassilicos , Geoffrey F. Hewitt

Turbulent flows have been used for millennia to mix solutes; a familiar example is stirring cream into coffee. However, many energy, environmental, and industrial processes rely on the mixing of solutes in porous media where confinement…

Fluid Dynamics · Physics 2023-11-14 Christopher A. Browne , Sujit S. Datta

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

Several new families of nonlinear three-dimensional travelling wave solutions to the Navier-Stokes equation, also known as exact coherent states, are computed for Newtonian plane Poiseuille flow. The symmetries and streak/vortex structures…

Fluid Dynamics · Physics 2015-10-28 Jae Sung Park , Michael D. Graham

We show theoretically that an initially homogeneous planar Couette flow of a concentrated polymeric fluid is linearly unstable to the growth of two-dimensional (2D) perturbations, within two widely used constitutive models: the…

Soft Condensed Matter · Physics 2026-02-23 Theo A. Lewy , Suzanne M. Fielding , Peter D. Olmsted , Rich R. Kerswell

We present numerically determined travelling-wave solutions for pressure-driven flow through a straight duct with a square cross-section. This family of solutions represents typical coherent structures (a staggered array of counter-rotating…

Fluid Dynamics · Physics 2010-11-03 Markus Uhlmann , Genta Kawahara , Alfredo Pinelli
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