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Contrasting with free shear flows presenting velocity profiles with inflection points which cascade to turbulence in a relatively mild way, wall bounded flows are deprived of (inertial) instability modes at low Reynolds numbers and become…

Fluid Dynamics · Physics 2009-11-13 Paul Manneville

The two-dimensional regular and chaotic electro-convective flow states of a dielectric liquid between two infinite parallel planar electrodes are investigated using a two-relaxation-time lattice Boltzmann method. Positive charges injected…

Fluid Dynamics · Physics 2021-08-17 Qi Wang , Yifei Guan , Junyu Huang , Jian Wu

Experiments (Mullin and Kreswell, 2005) show that transition to turbulence can start at Reynolds numbers lower than it is predicted by the linear stability analysis - the subcritical transition to turbulence. To explain these observations…

Fluid Dynamics · Physics 2008-07-08 K. Y. Volokh

Shear-thinning fluids flowing through pipes are crucial in many practical applications, yet many unresolved problems remain regarding their turbulent transition. Using highly robust numerical tools for the Carreau-Yasuda model, we…

Fluid Dynamics · Physics 2025-08-26 Xuerao He , Kengo Deguchi , Runjie Song , Hugh M. Blackburn

We investigate the flow properties of a two-dimensional aqueous foam submitted to a quasistatic shear in a Couette geometry. A strong localization of the flow (shear banding) at the edge of the moving wall is evidenced, characterized by an…

Soft Condensed Matter · Physics 2009-11-07 Georges Debregeas , Herve Tabuteau , Jean-Marc di Meglio

Taylor-Couette flow is often used as a simplified model for complex rotating flows in the interior of stars and accretion disks. The flow dynamics in these objects is influenced by magnetic fields. For example, quasi-Keplerian flows in…

Fluid Dynamics · Physics 2023-02-15 Anna Guseva , Steven M. Tobias

Particles in turbulence live complicated lives. It is nonetheless sometimes possible to find order in this complexity. It was proposed in [Falkovich et al., Phys. Rev. Lett. 110, 214502 (2013)] that pairs of Lagrangian tracers at small…

Chaotic Dynamics · Physics 2015-08-04 Anna Frishman , Guido Boffetta , Filippo De Lillo , Alex Liberzon

We study numerically shear banded flow in planar and curved Couette geometries. Our aim is to explain two recent observations in shear banding systems of roll cells stacked in the vorticity direction, associated with an undulation of the…

Soft Condensed Matter · Physics 2015-05-14 Suzanne M. Fielding

Direct numerical simulations of Taylor-Couette flow (TC). Shear Reynolds numbers of up to $3\cdot10^5$, corresponding to Taylor numbers of $Ta=4.6\cdot10^{10}$, were reached. Effective scaling laws for the torque are presented. The…

Two-dimensional (2D) turbulence, despite being an idealization of real flows, is of fundamental interest as a model of the spontaneous emergence of order from chaotic flows. The emergence of order often displays critical behavior, whose…

Fluid Dynamics · Physics 2025-03-21 Filip Novotný , Marek Talíř , Šimon Midlik , Emil Varga

The current work analyses the onset characteristics of buoyancy and thermocapillary-driven instabilities in two-layer binary fluid systems near their upper critical solution temperature (UCST). The dynamics of the binary fluids are modelled…

Fluid Dynamics · Physics 2026-03-04 Saumyakanta Mishra , S. V. Diwakar

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

We revisit viscoelastic Kolmogorov flow to show that the elastic linear instability of an Oldroyd-B fluid at vanishing Reynolds numbers ($Re$) found by Boffetta et al. (J. Fluid Mech. 523, 161-170, 2005) is the same `centre-mode'…

Fluid Dynamics · Physics 2024-10-11 Theo Lewy , Rich Kerswell

Turbulence is a fundamental flow phenomenon, typically anisotropic at large scales and approximately isotropic at small scales. The classical Kolmogorov scaling laws (2/3, -5/3 and 4/5) have been well-established for turbulence without…

Fluid Dynamics · Physics 2025-04-08 Yong-Ying Zeng , Zi-Ju Liao , Jun-Yi Li , Wei-Dong Su

We report a high-resolution numerical study of two-dimensional (2D) miscible Rayleigh-Taylor (RT) incompressible turbulence with the Boussinesq approximation. An ensemble of 100 independent realizations were performed at small Atwood number…

Fluid Dynamics · Physics 2015-06-16 Quan Zhou

We study the transition from laminar flow to fully developed turbulence for an inertially-driven von Karman flow between two counter-rotating large impellers fitted with curved blades over a wide range of Reynolds number (100 - 1 000 000).…

Fluid Dynamics · Physics 2008-03-17 Florent Ravelet , Arnaud Chiffaudel , Francois Daviaud

We investigate the existence of multiple turbulent states in highly turbulent Taylor-Couette flow in the range of $\mathrm{Ta}=10^{11}$ to $9\cdot10^{12}$, by measuring the global torques and the local velocities while probing the phase…

We observe the emergence of a distinct, elasticity-driven flow state in a yield-stress fluid in the absence of inertia. Numerical simulations show that this elasto-plastic turbulent state is characterized by a broad spectrum of fluctuations…

Instabilities of fluid flows often generate turbulence. Using extensive direct numerical simulations, we study two-dimensional turbulence driven by a wavenumber-localised instability superposed on stochastic forcing, in contrast to previous…

Fluid Dynamics · Physics 2022-12-14 Adrian van Kan , Benjamin Favier , Keith Julien , Edgar Knobloch

The Couette-Taylor instability occurs in a viscous fluid confined between two coaxial rotating cylinders. When the Taylor number surpasses a critical value, the stable Couette flow destabilizes, giving way to steady Taylor vortices. As the…

Analysis of PDEs · Mathematics 2026-01-22 Dongfen Bian , Emmanuel Grenier , Gérard Iooss , Zhuolun Yang
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