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Related papers: Transition to turbulence in wall-bounded flows: Wh…

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Processing the data from a large variety of zero-pressure-gradient boundary layer flows shows that the Reynolds-number-dependent scaling law, which the present authors obtained earlier for pipes, gives an accurate description of the…

Numerical Analysis · Mathematics 2025-10-20 Grigory I. Barenblatt , Alexandre J. Chorin , V. M. Prostokishin

The volatile transition from quiescent laminar to strongly fluctuating turbulent dynamics in shear flows remains only poorly understood despite its practical importance and more than a century of intense research. The theoretical…

Fluid Dynamics · Physics 2016-09-08 Alberto de Lozar , Bjoern Hof

It is known that in classical fluids turbulence typically occurs at high Reynolds numbers. But can turbulence occur at low Reynolds numbers? Here we investigate the transition to turbulence in the classic Taylor-Couette system in which the…

Fluid Dynamics · Physics 2015-01-12 Sebastian Altmeyer , Younghae Do , Ying-Cheng Lai

We study the transition to turbulence from the perspective of the velocity gradient tensor dynamics. Our work is motivated by the observation of nonlinear structures emerging during transition, as revealed by vortex identifiers such as the…

Fluid Dynamics · Physics 2020-01-22 Ahmed Elnahhas , Perry L. Johnson , Adrián Lozano-Durán , Parviz Moin

Wall-pressure fluctuations are a practically robust input for real-time control systems aimed at modifying wall-bounded turbulence. The scaling behaviour of the wall-pressure--velocity coupling requires investigation to properly design a…

Fluid Dynamics · Physics 2024-01-11 Woutijn J. Baars , Giulio Dacome , Myoungkyu Lee

Recent research has shed light on the role of coherent structures in forming layers when stably stratified turbulence is forced with horizontal shear (Lucas, Caulfield & Kerswell, J. Fluid Mech., vol. 832, 2017, pp. 409-437). Here we extend…

Fluid Dynamics · Physics 2019-05-01 Dan Lucas , C. P. Caulfield , Rich R. Kerswell

Most flows in nature and engineering are turbulent because of their large velocities and spatial scales. Laboratory experiments of rotating quasi-Keplerian flows, for which the angular velocity decreases radially but the angular momentum…

Fluid Dynamics · Physics 2017-11-21 Jose M. Lopez , Marc Avila

The energy gradient method has been proposed with the aim of better understanding the mechanism of flow transition from laminar flow to turbulent flow. In this method, it is demonstrated that the transition to turbulence depends on the…

Chaotic Dynamics · Physics 2010-06-08 Hua-Shu Dou , Boo Cheong Khoo

Although the equations governing fluid flow are well known, there are no analytical expressions that describe the complexity of turbulent motion. A recent proposition is that in analogy to low dimensional chaotic systems, turbulence is…

Fluid Dynamics · Physics 2013-06-11 Marc Avila , Fernando Mellibovsky , Nicolas Roland , Bjoern Hof

We propose a scenario for the formation of localized turbulent spots in transition flows, which is known as resulting from the subcritical character of the transition. We show that it is not necessary to add 'by hand" a term of random noise…

Chaotic Dynamics · Physics 2015-11-30 Yves Pomeau , Martine Le Berre

In this study, new turbulence closure equations are derived in the light of turbulence as a continuous phase transition phenomenon. Closed-form Reynolds averaged Navier-Stokes equations due to those closure equations are solved numerically…

Fluid Dynamics · Physics 2026-04-22 Mohammed A. Azim

Turbulence, left unforced, decays and invades the surrounding quiescent fluid. Though ubiquitous, this simple phenomenon has proven hard to capture within a simple and general framework. Experiments in conventional turbulent flow chambers…

Fluid Dynamics · Physics 2025-06-30 Takumi Matsuzawa , Minhui Zhu , Nigel Goldenfeld , William T. M. Irvine

We investigate rough-wall turbulent flows through direct numerical simulations of flow over three-dimensional transitionally rough sinusoidal surfaces. The roughness Reynolds number is fixed at $k^+=10$, where $k$ is the sinusoidal…

Fluid Dynamics · Physics 2020-12-09 M. MacDonald , L. Chan , D. Chung , N. Hutchins , A. Ooi

The aim of this Letter is to characterize the flow regimes of suspensions of finite-size rigid particles in a viscous fluid at finite inertia. We explore the system behavior as function of the particle volume fraction and the Reynolds…

Fluid Dynamics · Physics 2015-06-18 Iman Lashgari , Francesco Picano , Wim-Paul Breugem , Luca Brandt

The energy gradient method is used to analyze the turbulent generation in the transition boundary layer flow. It is found that the maximum of the energy gradient function occurs at the wall for the Blasius boundary layer flow. At this…

Fluid Dynamics · Physics 2009-11-13 Hua-Shu Dou , Boo Cheong Khoo

This article presents a modelling of the formation of spanwise vorticity in the turbulent streaks of the oblique bands and spots of transitional plane Couette flow. A functional model is designed to mimic the coherent flow in the streaks.…

Fluid Dynamics · Physics 2015-12-10 Joran Rolland

Direct numerical simulations of turbulent Taylor-Couette flow are performed up to inner cylinder Reynolds numbers of {Re_i=10^5} for a radius ratio of {\eta=r_i/r_o=0.714} between the inner and outer cylinder. With increasing {Re_i}, the…

Transitional pipe flow is modeled as a one-dimensional excitable and bistable medium. Models are presented in two variables, turbulence intensity and mean shear, that evolve according to established properties of transitional turbulence. A…

Fluid Dynamics · Physics 2015-03-17 Dwight Barkley

Linearly stable shear flows first transition to turbulence in the form of localised patches. At low Reynolds numbers, these turbulent patches tend to suddenly decay, following a memoryless process typical of rare events. How far in advance…

Fluid Dynamics · Physics 2025-07-10 Daniel Morón , Alberto Vela-Martín , Marc Avila

We consider linear feedback flow control of the largest scales in an incompressible turbulent channel flow at a friction Reynolds number of Re$_{\tau}$ = 2000. A linear model is formed by linearizing the Navier-Stokes equations about the…

Fluid Dynamics · Physics 2020-10-20 Stephan F. Oehler , Simon J. Illingworth
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