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Recent experiments have reported a novel transition to elasto-inertial turbulence in the Taylor--Couette flow of a dilute polymer solution. Unlike previously reported transitions, this newly discovered scenario, dubbed vortex merging and…

Fluid Dynamics · Physics 2022-08-24 Jose M. Lopez

We present direct numerical simulations of Taylor-Couette flow with grooved walls at a fixed radius ratio $\eta=r_i/r_o=0.714$ with inner cylinder Reynolds number up to $Re_i=3.76\times10^4$, corresponding to Taylor number up to…

Fluid Dynamics · Physics 2016-05-04 Xiaojue Zhu , Rodolfo Ostilla Mónico , Roberto Verzicco , Detlef Lohse

Linear stability of solid body rotating flows with axisymmetric density variations is addressed analytically. Considering inviscid disturbances, a non trivial dispersion relation is obtained and it is shown that the instability is of…

Fluid Dynamics · Physics 2023-08-24 C. Jacques , B. Di Pierro , F. Alizard , M. Buffat , A. Cadiou , L. Le Penven

We investigate magnetic Taylor--Couette flow in the presence of an imposed axial magnetic field. First we calculate nonlinear steady axisymmetric solutions and determine how their strength depends on the applied magnetic field. Then we…

Astrophysics · Physics 2009-11-07 Ashley P. Willis , Carlo F. Barenghi

The influence of an axial through-flow on the spatiotemporal growth behavior of different vortex structures in the Taylor-Couette system with radius ratio eta=0.5 is determined. The Navier Stokes equations (NSE) linearized around the basic…

Fluid Dynamics · Physics 2008-07-21 A. Pinter , M. Lücke , Ch. Hoffmann

By numerically computing the steady axisymmetric flow of helium II confined inside a finite aspect ratio Couette annulus, we determine the transition from Ekman flow to Taylor vortex flow as a function of temperature and aspect ratio.We…

Condensed Matter · Physics 2009-11-10 K. L. Henderson , C. F. Barenghi

This study numerically investigates the bifurcation aspect of the wide-gap spherical Couette flow (SCF), with an emphasis on the competition among polygonal coherence with different wave numbers observed over transitional Reynolds numbers.…

Fluid Dynamics · Physics 2022-03-11 Fumitoshi Goto , Tomoaki Itano , Masako Sugihara-Seki , Takahiro Adachi

This study investigates drag reduction capability of naturally-occurring-oscillating axial secondary flow(ASF) induced by helical-corrugated surface in Taylor Couette flow(TCFHelical) for three values of pitch to wavelength-ratios(P*…

Fluid Dynamics · Physics 2023-05-31 M. A. Razzak , B. C. Khoo , K. B. Lua , C. M. J. Tay

In view of new experimental data the instability against adiabatic nonaxisymmetric perturbations of a Taylor-Couette flow with an axial density stratification is considered in dependence of the Reynolds number Re of rotation and the…

Fluid Dynamics · Physics 2017-12-27 G. Rüdiger , T. Seelig , M. Schultz , M. Gellert , U. Harlander , Chr. Egbers

A canonical problem of axially strained flow in a duct of circular-sector cross-section, with fluid injection through the circular arc, is examined for a range of Reynolds numbers and sector angles. At small Reynolds numbers, the flow…

Fluid Dynamics · Physics 2025-08-19 Prabakaran Rajamanickam

The effects of axial boundaries, or endcaps are of fundamental interest in many Taylor-Couette (TC) flow experiments. A main challenge in those experiments has been to minimize these effects, which can substantially alter the flow structure…

Fluid Dynamics · Physics 2025-12-23 A. Mishra , P. Personnettaz , G. Mamatsashvili , V. Galindo , F. Stefani

We study the secondary time-averaged flow (streaming) generated by an oscillating cylinder immersed within a fluid, under high amplitude forcing so that inertial effects are significant. This streaming is decomposed into a viscous boundary…

We numerically simulate turbulent Taylor-Couette flow for independently rotating inner and outer cylinders, focusing on the analogy with turbulent Rayleigh-B\'enard flow. Reynolds numbers of $Re_i=8\cdot10^3$ and $Re_o=\pm4\cdot10^3$ of the…

We study the large-scale helical vortex shedding regime in the wake of an axisymmetric body with a blunt trailing edge at high Reynolds numbers, both experimentally and by means of local, linear, spatiotemporal stability analysis. In the…

Fluid Dynamics · Physics 2019-12-17 Alejandro Sevilla , Carlos Martínez-Bazán

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

We numerically study turbulent Taylor-Couette flow (TCF) between two independently rotating cylinders and the transition to rotating plane Couette flow (RPCF) in the limit of infinite radii. By using the shear Reynolds number $Re_S$ and…

Fluid Dynamics · Physics 2016-04-20 Hannes J. Brauckmann , Matthew Salewski , Bruno Eckhardt

A concise review is given of astrophysically motivated experimental and theoretical research on Taylor-Couette flow. The flows of interest rotate differentially with inner cylinder faster than outer one but are linearly stable against…

Fluid Dynamics · Physics 2022-12-20 H. Ji , J. Goodman

We investigate the influence of expansion geometry on the flow field and turbulence structure in axisymmetric pipe flows through comparative analysis of abrupt ($90^\circ$) and gradual ($45^\circ$) area expansions with an area ratio of 2.56…

Fluid Dynamics · Physics 2026-03-17 Jibu Tom Jose , Gal Friedmann , Dvir Feld , Omri Ram

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…

Analysis of PDEs · Mathematics 2020-06-24 Qi Chen , Dongyi Wei , Zhifei Zhang

A new turbulent Taylor-Couette system consisting of two independently rotating cylinders has been constructed. The gap between the cylinders has a height of 0.927 m, an inner radius of 0.200 m, and a variable outer radius (from 0.279 to…

Fluid Dynamics · Physics 2012-11-12 Dennis P. M. van Gils , Gert-Wim Bruggert , Daniel P. Lathrop , Chao Sun , Detlef Lohse