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We report evidence of irregular unsteady flow of two-dimensional polymer solutions in the absence of inertia in cross-slot geometry using numerical simulations of Oldroyd-B model. By exploring the transition to time-dependent flow versus…

Soft Condensed Matter · Physics 2021-02-10 Dário Oliveira Canossi , Gilmar Mompean , Stefano Berti

Non-Newtonian fluids have a viscosity that varies with applied stress. Elastoviscoplastic fluids, the elastic, viscous and plastic properties of which are interconnected in a non-trivial way, belong to this category. We have performed…

Fluid Dynamics · Physics 2023-08-02 Mohamed S. Abdelgawad , Ianto Cannon , Marco E. Rosti

Nontrivial steady flows have recently been found that capture the main structures of the turbulent buffer layer. We study the effects of polymer addition on these "exact coherent states" (ECS) in plane Couette flow. Despite the simplicity…

Fluid Dynamics · Physics 2009-11-07 Philip A. Stone , Fabian Waleffe , Michael D. Graham

Turbulence in wall-bounded shear flows is increasingly understood through exact coherent structures (ECS) -- invariant solutions of the Navier-Stokes equations that act as organising centres in the high-dimensional state space. Here we…

Fluid Dynamics · Physics 2026-03-30 Akshit Nanda , Ritabrata Thakur

The combination of elliptical deformation of streamlines and vorticity can lead to the destabilisation of any rotating flow via the elliptical instability. Such a mechanism has been invoked as a possible source of turbulence in planetary…

Fluid Dynamics · Physics 2017-09-13 Thomas Le Reun , Benjamin Favier , Adrian J. Barker , Michael Le Bars

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

Gaining a fundamental understanding of turbulent flows of dilute polymer solutions has been a challenging and outstanding problem for a long time. In this letter, we examine homogeneous, isotropic polymeric turbulence at large Reynolds and…

Fluid Dynamics · Physics 2025-07-23 Piyush Garg , Marco Edoardo Rosti

Recent research indicates that low-inertia viscoelastic channel flow experiences supercritical non-normal mode elastic instability from laminar to sustained chaotic flow due to finite-size perturbations. The challenge of this study is to…

Fluid Dynamics · Physics 2024-04-16 Yuke Li , Victor Steinberg

In a relativistic context, the main purpose of Extended Irreversible Thermodynamics (EIT) is to generalize the principles of non-equilibrium thermodynamics to the domain of fluid dynamics. In particular, the theory aims at modelling any…

General Relativity and Quantum Cosmology · Physics 2021-06-01 Lorenzo Gavassino , Marco Antonelli

The linear stability of pipe flow implies that only perturbations of sufficient strength will trigger the transition to turbulence. In order to determine this threshold in perturbation amplitude we study the \emph{edge of chaos} which…

Chaotic Dynamics · Physics 2009-11-13 Tobias M Schneider , Bruno Eckhardt , James A Yorke

The competition between drift wave and interchange physics in general E-cross-B drift turbulence is studied with computations in three dimensional tokamak flux tube geometry. For a given set of background scales, the parameter space can be…

Plasma Physics · Physics 2009-09-29 Bruce D. Scott

Newtonian pipe flow is known to be linearly stable at all Reynolds numbers. We report, for the first time, a linear instability of pressure driven pipe flow of a viscoelastic fluid, obeying the Oldroyd-B constitutive equation commonly used…

Fluid Dynamics · Physics 2018-07-18 Piyush Garg , Indresh Chaudhary , Mohammad Khalid , V Shankar , Ganesh Subramanian

In this study, global nonlinear electromagnetic gyrokinetic simulations are conducted to investigate turbulence in the Internal transport barrier (ITB) region of the EAST tokamak discharge with weakly reversed magnetic shear. Linear…

Plasma Physics · Physics 2025-11-07 Yuehao Ma , Pengfei Liu , Jian Bao , Zhihong Lin , Huishan Cai

We present predictions for the flow of elastoviscoplastic (EVP) fluids in the 4 to 1 planar contraction geometry. The Saramito-Herschel-Bulkley fluid model is solved via the finite-volume method with the OpenFOAM software. Both the…

Fluid Dynamics · Physics 2024-03-19 Milad Mousavi , Yannis Dimakopoulos , John Tsamopoulos

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

Turbulence is characterised by chaotic dynamics and a high-dimensional state space, which make this phenomenon challenging to predict. However, turbulent flows are often characterised by coherent spatiotemporal structures, such as vortices…

Fluid Dynamics · Physics 2023-06-21 Nguyen Anh Khoa Doan , Alberto Racca , Luca Magri

It is well known that inertia-free shearing flows of a viscoelastic fluid with curved streamlines, such as the torsional flow between a rotating cone and plate, or the flow in a Taylor-Couette geometry, can become unstable to a…

Fluid Dynamics · Physics 2024-03-12 Rishabh V. More , Eugene Pashkovski , Reid Patterson , Gareth H. McKinley

In this paper, the physics of flow instability and turbulent transition in shear flows is studied by analyzing the energy variation of fluid particles under the interaction of base flow with a disturbance. For the first time, a model…

Fluid Dynamics · Physics 2018-06-20 Hua-Shu Dou

We examine computationally the two-dimensional flow of elastoviscoplastic (EVP) fluids around a cylinder symmetrically placed between two plates parallel to its axis. The Saramito-Herschel-Bulkley fluid model is solved via the finite-volume…

Fluid Dynamics · Physics 2025-01-14 Milad Mousavi , Yannis Dimakopoulos , John Tsamopoulos

The linear dynamics and instability mechanisms of double-layered weakly viscoelastic fluid flowing over an inclined plane are analyzed in the presence of insoluble surfactant at both the free surface and interface. The constitutive equation…

Fluid Dynamics · Physics 2025-10-07 Md. Mouzakkir Hossain , Mohamin B. M. Khan , Youchuang Chao