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Pipe flow and many other shear flows show a transition to turbulence at flow rates for which the laminar profile is stable against infinitesimal perturbations. In this brief review the recent progress in the understanding of this transition…

流体动力学 · 物理学 2018-06-13 Bruno Eckhardt

Depending on the type of flow, the transition to turbulence can take one of two forms: either turbulence arises from a sequence of instabilities or from the spatial proliferation of transiently chaotic domains, a process analogous to…

流体动力学 · 物理学 2026-04-06 Bowen Yang , Yi Zhuang , Gökhan Yalnız , Vasudevan Mukund , Elena Marensi , Björn Hof

Two approaches to the problem of transition to turbulence of shear flows are popular in the literature. The first is the linear one of transient growth which focuses on the likely form of the most 'dangerous' (lowest energy)…

流体动力学 · 物理学 2010-05-11 Chris C. T. Pringle , Rich R. Kerswell

Transition to turbulence dramatically alters the properties of fluid flows. In most canonical shear flows, the laminar flow is linearly stable and a finite-amplitude perturbation is necessary to trigger transition. Controlling transition to…

流体动力学 · 物理学 2020-05-20 Anton Pershin , Cedric Beaume , Steven M. Tobias

Abrupt transition to turbulence may occur in pipe and channel flows at moderate flow rates, an unexpected event according to linear stability theory, and has been an open problem in fluid dynamics for more than a century. Extensive…

流体动力学 · 物理学 2017-10-09 Jianjun Tao , Xiangming Xiong

For decades, transition to turbulence in viscoelastic parallel shear flows was believed to require nonlinear instabilities. We provide numerical evidences for a new wall-mode linear instability that directly triggers the transition to…

流体动力学 · 物理学 2022-11-18 Lu Zhu , Li Xi

A wide range of natural and engineered fluid flows exhibit spatial or temporal viscosity variations, spanning scales from microbial locomotion to planetary mantle convection. These variations introduce qualitatively new physical mechanisms…

流体动力学 · 物理学 2025-08-01 Arjun Sharma , Ritabrata Thakur , Sharath Jose , Rama Govindarajan

Linear stability analysis currently fails to predict turbulence transition in canonical viscous flows. We show that two alternative models of the boundary condition for incipient perturbations at solid walls produce linear instabilities…

流体动力学 · 物理学 2024-07-11 John O. Dabiri , Anthony Leonard

The commonly accepted description of transition to turbulence in shear flows requires the presence of an external source of disturbances that get amplified by an essentially linear mechanism up to the point where breakdown to turbulence…

流体动力学 · 物理学 2008-04-15 Paolo Luchini

In this note we advocate the notion of variety as juxtaposed to the notion of complexity. Laminar flows are complex, turbulence is various. When the gradients reach a critical point, laminar flows are subjected to instabilities and…

流体动力学 · 物理学 2021-03-30 Massimo Germano

Lower-branch traveling waves and equilibria computed in pipe flow and other shear flows appear intermediate between turbulent and laminar motions. We take a step towards connecting these lower-branch solutions to transition by deriving a…

流体动力学 · 物理学 2015-05-13 D. Viswanath , P. Cvitanovic

When turbulent flow is laden with negatively buoyant particles, their mean distribution over the direction of gravity can induce stable density gradients that penalize turbulent fluctuations. This effect is studied numerically for…

流体动力学 · 物理学 2025-05-28 Jake Langham , Andrew J. Hogg

Turbulence is the major cause of friction losses in transport processes and it is responsible for a drastic drag increase in flows over bounding surfaces. While much effort is invested into developing ways to control and reduce turbulence…

流体动力学 · 物理学 2018-05-09 J. Kühnen , B. Song , D. Scarselli , N. Budanur , A. Willis , M. Riedl , M. Avila , B. Hof

Laminar-turbulent pattern formation is a distinctive feature of the intermittency regime in subcritical plane shear flows. By performing extensive numerical simulations of the plane channel flow, we show that the pattern emerges from a…

流体动力学 · 物理学 2022-12-16 Pavan V. Kashyap , Yohann Duguet , Olivier Dauchot

The purpose of this contribution is to summarize and discuss recent advances regarding the onset of turbulence in shear flows. The absence of a clear cut instability mechanism, the spatio-temporal intermittent character and extremely long…

流体动力学 · 物理学 2014-03-19 Baofang Song , Björn Hof

There is a clear distinction between simple laminar and complex turbulent fluids. But in some cases, as for the nocturnal planetary boundary layer, a stable and well-ordered flow can develop intense and sporadic bursts of turbulent activity…

流体动力学 · 物理学 2015-06-17 C. Rorai , P. D. Mininni , A. Pouquet

Pulsating flows through tubular geometries are laminar provided that velocities are moderate. This in particular is also believed to apply to cardiovascular flows where inertial forces are typically too low to sustain turbulence. On the…

流体动力学 · 物理学 2020-05-26 Duo Xu , Atul Varshney , Xingyu Ma , Baofang Song , Michael Riedl , Marc Avila , Björn Hof

We report a non-perturbative study of the effect of different type of shear flows on the evolution of vorticity and particle density fluctuations in interchange turbulence. For the same shear strength, the transport of density is less…

等离子体物理 · 物理学 2017-11-28 Ismail Movahedi , Eun-jin Kim

The term "solid-state turbulence" may sound like an oxymoron, but in fact it is not. In this article we demonstrate that solid-state turbulence may emerge owing to a defining property of the solid state: the ability of a solid to retain its…

流体动力学 · 物理学 2021-11-10 Y. Beygelzimer , A. E. Filippov , R. Kulagin , Y. Estrin

Transition from laminar to turbulent flow drastically changes the mixing, transport, and drag properties of fluids, yet when and how turbulence emerges is elusive even for simple flow within pipes and rectangular channels. Unlike the onset…

统计力学 · 物理学 2025-07-22 Masaki Sano , Keiichi Tamai
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