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Laboratory experiments point out the existence of patterns made of alternately laminar and turbulent oblique bands in plane Couette flow in its way to/from turbulence as the Reynolds number R is varied. Many previous theoretical and…

流体动力学 · 物理学 2015-05-27 Jimmy Philip , Paul Manneville

A large number of flows with distinctive patterns have been observed in experiments and simulations of Rayleigh-Benard convection in a water-filled cylinder whose radius is twice the height. We have adapted a time-dependent pseudospectral…

流体动力学 · 物理学 2010-04-02 Katarzyna Borońska , Laurette S. Tuckerman

In this paper, we study nonlinear stability of the 3D plane Couette flow $(y,0,0)$ at high Reynolds number ${Re}$ in a finite channel $\mathbb{T}\times [-1,1]\times \mathbb{T}$. It is well known that the plane Couette flow is linearly…

偏微分方程分析 · 数学 2020-06-24 Qi Chen , Dongyi Wei , Zhifei Zhang

We present numerical simulations of vortices that appear via primary bifurcations out of the unstructured circular Couette flow in the Taylor-Couette system with counter-rotating as well as with co-rotating cylinders. The full, time…

流体动力学 · 物理学 2008-07-19 Ch. Hoffmann , M. Lücke , A. Pinter

A numerical study of laminar flow through symmetric and slightly asymmetric sudden expansion, of expansion ratio 1:3, in channels with increasing cross section, is carried out using two different approaches - Conventional CFD and Lattice…

流体动力学 · 物理学 2021-03-05 Jithin M , Alok Mishra , Ashoke De , Malay K Das

In this paper, we report new insight into a symmetry-breaking phenomenon that occurs for turbulent flow in periodic porous media composed of cylindrical solid obstacles with circular cross-section. We have used Large Eddy Simulation to…

流体动力学 · 物理学 2025-02-24 Vishal Srikanth , Andrey V. Kuznetsov

We present a systematic numerical investigation of bifurcations in the two-dimensional incompressible Navier-Stokes flow past a confined circular cylinder. The results indicate that there is a qualitative correspondence between changes in…

流体动力学 · 物理学 2025-12-18 Jakub Cach , Karel Tůma , Jan Blechta , Sebastian Schwarzacher

Taylor-Couette flow -- the flow between two coaxial co- or counter-rotating cylinders -- is one of the paradigmatic systems in physics of fluids. The (dimensionless) control parameters are the Reynolds numbers of the inner and outer…

流体动力学 · 物理学 2019-04-02 Siegfried Grossmann , Detlef Lohse , Chao Sun

Direct numerical simulations of a uniform flow past a fixed spherical droplet are performed to investigate the parameter range within which the axisymmetric flow becomes unstable due to an external flow bifurcation. The hydrodynamics is…

流体动力学 · 物理学 2025-07-15 Pengyu Shi , Éric Climent , Dominique Legendre

A series of direct numerical simulations in large computational domains has been performed in order to probe the spatial feature robustness of the Taylor rolls in turbulent Taylor-Couette (TC) flow. The latter is the flow between two…

流体动力学 · 物理学 2017-04-21 Rodolfo Ostilla-Mónico , Detlef Lohse , Roberto Verzicco

A pioneering study conducted by Egbers and Rath [Acta Mech. 111 pp. 125--140 (1995)] experimentally captured spiral waves to elucidate the transition in the wide-gap spherical Couette flow. However, the physical field quantities of the…

流体动力学 · 物理学 2025-05-22 Isshin Arai , Tomoaki Itano , Masako Sugihara-Seki

We study the primary bifurcations of a two-dimensional Kolmogorov flow in a channel subject to boundary conditions chosen to mimic a parallel flow, i.e. periodic and free-slip boundary conditions in the streamwise and spanwise directions,…

流体动力学 · 物理学 2020-04-28 Kannabiran Seshasayanan , Vassilios Dallas , Stephan Fauve

The symmetries of flow structures are often prescribed by their mechanical instability and geometry. Here, as an example, we present the homotopy of the rotating 3-fold spiral state that is robust in a spherical Couette flow towards the…

流体动力学 · 物理学 2022-06-29 Tomoaki Itano , Fumitoshi Goto , Kazuki Yoshikawa , Masako Sugihara-Seki

This experimental and numerical study examines transition to turbulence for a Cone-Cylinder-Flare geometry at Mach 7 and across a broad Reynolds number range. The focus is set on both attached boundary layers and separated shock-boundary…

流体动力学 · 物理学 2025-12-09 Clément Caillaud , Mathieu Lugrin , Nicolas Severac , Sébastien Esquieu

We investigate the Couette-Taylor problem for a steady incompressible viscous fluid in a 3D cylindrical annulus, where one of the two cylinders is still, under both Dirichlet and boundary conditions involving the vorticity that naturally…

偏微分方程分析 · 数学 2026-03-06 Edoardo Bocchi , Filippo Gazzola , Antonio Hidalgo-Torné

We investigate the quasi two-dimensional Taylor-Couette system in the regime where the radius ratio is close to unity - a transitional regime between three and two dimensions. By systematically increasing the Reynolds number we observe a…

流体动力学 · 物理学 2015-12-02 Sebastian Altmeyer , Younghae Do , Ying-Cheng Lai

Unsteady spatially localized states such as puffs, slugs or spots play an important role in transition to turbulence. In plane Couette flow, steady versions of these states are found on two intertwined solution branches describing…

流体动力学 · 物理学 2019-05-01 Anton Pershin , Cedric Beaume , Steven M. Tobias

Using time-series of stereoscopic particle image velocimetry data, we study the response of a turbulent von K\'{a}rm\'{a}n swirling flow to a continuous breaking of its forcing symmetry. Experiments are carried over a wide Reynolds number…

统计力学 · 物理学 2012-05-22 P. -P. Cortet , E. Herbert , A. Chiffaudel , F. Daviaud , B. Dubrulle , V. Padilla

We conduct magnetic spherical Couette (MSC) flow experiments in the return flow instability regime with GaInSn as the working fluid, and the ratio of the inner to the outer sphere radii $r_{\rm i}/r_{\rm o} = 0.5$, the Reynolds number ${\rm…

流体动力学 · 物理学 2021-02-03 Jude Ogbonna , Ferran Garcia , Thomas Gundrum , Martin Seilmayer , Frank Stefani

The transition to turbulence in plane Couette flow and several other shear flows is connected with saddle node bifurcations in which fully 3-d, nonlinear solutions, so-called exact coherent states (ECS), to the Navier-Stokes equation…

流体动力学 · 物理学 2018-02-14 Bruno Eckhardt , Stefan Zammert