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Flows in fluid layers are ubiquitous in industry, geophysics and astrophysics. Large-scale flows in thin layers can be considered two-dimensional (2d) with bottom friction added. Here we find that the properties of such flows depend…

Fluid Dynamics · Physics 2018-10-24 Gregory Falkovich , Natalia Vladimirova

A fluid dynamics video of the Modulated Wavy Vortex Flow state of Taylor-Couette flow with the outer cylinder fixed is presented. This state precedes the transition to turbulence, which is more gradual than that for other fluid systems.

Fluid Dynamics · Physics 2009-10-19 Michael Gorman , Harry Swinney

Cross-streamline non-inertial migration of a vesicle in a bounded Poiseuille flow is investigated experimentally and numerically. The combined effects of the walls and of the curvature of the velocity profile induce a movement towards the…

Soft Condensed Matter · Physics 2009-11-13 Gwennou Coupier , Badr Kaoui , Thomas Podgorski , Chaouqi Misbah

Shear-thinning and viscoelasticity are two non-Newtonian fluid properties widely existing in biological fluids. In this study, we found that the translation motion of a rotating particle near a wall speed up firstly, and then slows down…

Fluid Dynamics · Physics 2022-08-04 Sai Peng , Peng Yu

In this work we study the evolution of the interface between two different fluids in two concentric cylinders when the velocity is given by the Navier-Stokes equation and one of the fluids is thin. We present a formal asymptotic derivation…

Analysis of PDEs · Mathematics 2019-06-03 Tania Pernas-Castaño , Juan J. L. Velázquez

A counter-rotating Taylor-Couette flow with relatively small radius ratios of $\eta$ = 0.2--0.5 was investigated over a wide range of the Reynolds number, from laminar to turbulent regime, by means of three-dimensional direct numerical…

Fluid Dynamics · Physics 2019-09-11 Ryo Tanaka , Takuya Kawata , Takahiro Tsukahara

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…

Fluid Dynamics · Physics 2019-04-02 Siegfried Grossmann , Detlef Lohse , Chao Sun

We study the decay of high-Reynolds number Taylor-Couette turbulence, i.e. the turbulent flow between two coaxial rotating cylinders. To do so, the rotation of the inner cylinder (Re$_i=2 \times 10^6$, the outer cylinder is at rest) is…

We study the flow stability and spatio-temporal spectral dynamics of cellulose nanocrystal (CNC) suspensions in a custom Taylor-Couette flow cell using the intrinsic shear induced birefringence and liquid crystalline properties of CNC…

The decay of Taylor-Couette turbulence, i.e~the flow between two coaxial and independently rotating cylinders, is numerically studied by instantaneously stopping the forcing from an initially statistically stationary flow field at a…

Fluid Dynamics · Physics 2017-11-08 Rodolfo Ostilla-Mónico , Xiaojue Zhu , Vamsi Spandan , Roberto Verzicco , Detlef Lohse

An analytical description of the interface motion of a collapsing nanometer-sized spherical cavity in water is presented by a modification of the Rayleigh-Plesset equation in conjunction with explicit solvent molecular dynamics simulations.…

Soft Condensed Matter · Physics 2009-11-13 Joachim Dzubiella

The remaining dynamical degrees of freedom of molecular fluids confined into capillaries of nano to sub-nanometer diameter are of fundamental relevance for future developments in the field of nanofluidics. These properties cannot be simply…

Flows between concentric, counter rotating spherical boundaries are under investigation in the gap with size equal to inner sphere radius. Outer sphere rotational rate is fixed, while inner sphere rotational rate has time periodic…

Fluid Dynamics · Physics 2015-06-15 Dmitry Zhilenko , Olga Krivonosova

This study investigates the nonlinear stability and dynamics of gravity-driven viscous films on a vertical rotating cylinder, considering both outer and inner surface flows with slip conditions at the cylinder wall. We develop an asymptotic…

Fluid Dynamics · Physics 2024-07-02 Souradip Chattopadhyay , Amar K. Gaonkar , Hangjie Ji

We experimentally and numerically investigate the angular momentum transport in turbulent Taylor-Couette flow for independently rotating cylinders at a small radius ratio of $\eta=0.357$ for various shear Reynolds numbers ($4.5\times 10^3…

Annular Couette flow is the flow between two coaxial cylinders driven by the axial translation of the inner cylinder. It is investigated using direct numerical simulation in long domains, with an emphasis on the laminar-turbulent…

Fluid Dynamics · Physics 2019-10-08 Kohei Kunii , Takahiro Ishida , Yohann Duguet , Takahiro Tsukahara

We study experimentally the flow of a liquid metal confined between differentially rotating cylinders, in the presence of externally imposed axial and azimuthal magnetic fields. For increasingly large azimuthal fields a wave-like…

The distribution of energy loss due to viscosity friction in plane Couette flow and Taylor-Couette Flow between concentric rotating cylinders are studied in detail for various flow conditions. The energy loss is related to the industrial…

Fluid Dynamics · Physics 2014-11-18 Hua-Shu Dou , Boo Cheong Khoo , Khoon Seng Yeo

The Navier-Stokes-Fourier model for a 3D thermoconducting viscous fluid, where the evolution equation for the temperature T contains a term proportional to the rate of energy dissipation, is investigated analitically at the light of the…

Fluid Dynamics · Physics 2009-11-07 V. Grassi , R. A. Leo , G. Soliani , P. Tempesta

We study the Couette Taylor instabilities for an incompressible viscous fluid between two coaxial cylinders of nearly equal radii, allowing counter-rotation with the ratio of rotation rate $\mu \in [-1,1]$. Working in a rotating frame and…

Analysis of PDEs · Mathematics 2026-03-23 Dongfen Bian , Emmanuel Grenier , Gérard Iooss , Zhuolun Yang