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Strongly turbulent Taylor-Couette flow with independently rotating inner and outer cylinders with a radius ratio of \eta = 0.716 is experimentally studied. From global torque measurements, we analyse the dimensionless angular velocity flux…

We analyze the stability of a cylindrical Couette flow under the imposition of a weak axial flow in case of a very short cylinder with a narrow annulus gap. We consider an incompressible viscous fluid which is contained in the narrow gap…

Fluid Dynamics · Physics 2007-05-23 L. A. Bordag , O. G. Chkhetiani , M. Froehner , V. Myrnyy

The stability of dissipative Taylor-Couette flows with an axial stable density stratification and a prescribed azimuthal magnetic field is considered. Global nonaxisymmetric solutions of the linearized MHD equations with toroidal magnetic…

Astrophysics · Physics 2009-11-13 G. Ruediger , D. A. Shalybkov

A Taylor-Couette setup with radial heating is considered where a Boussinesq fluid is sheared in the annular region between two concentric, independently rotating cylinders maintained at different temperatures. Linear stability analysis is…

Fluid Dynamics · Physics 2023-08-17 Pratik Aghor , Mohammad Atif

The viscous force should be shear force, the difference between the strain-rate viscosity and the slip viscosity is that the former has conjugate shear force, while the latter does not. The study in this paper verifies the physical…

Fluid Dynamics · Physics 2026-01-15 Jian He , Jin Wang , Qiaocong Kong , Penglong Zhao , Xiaoshu Cai , Xiaohang Zhang , Wennan Zou

We consider the planar Taylor-Couette system for the steady motion of a viscous incompressible fluid in the region between two concentric disks, the inner one being at rest and the outer one rotating with constant angular speed. We study…

Analysis of PDEs · Mathematics 2024-06-24 Filippo Gazzola , Jiří Neustupa , Gianmarco Sperone

The flow inside a precessing fluid cavity has been given particular attention since the end of the 19th century in geophysical and industrial contexts. The present study aims at shedding light on the underlying mechanism by which the flow…

Fluid Dynamics · Physics 2015-06-19 Yufeng Lin , Jerome Noir , Andrew Jackson

We study numerically some possible vortex configurations in a rotating cylinder that is tilted with respect to the rotation axis and where different numbers of vortices can be present at given rotation velocity. In a long cylinder at small…

Other Condensed Matter · Physics 2009-08-04 R. Hänninen

The nonaxisymmetric 'kink-type' Tayler instability (TI) of toroidal magnetic fields is studied for conducting incompressible fluids of uniform density between two infinitely long cylinders rotating around the same axis. It is shown that for…

Solar and Stellar Astrophysics · Physics 2015-05-13 G. Ruediger , M. Schultz

The separating and reattaching turbulent flow past a rectangular cylinder is studied to describe how small and large scales contribute to the sustaining mechanism of the velocity fluctuations. The work is based on the Anisotropic…

Fluid Dynamics · Physics 2022-08-24 Alessandro Chiarini , Davide Gatti , Andrea Cimarelli , Maurizio Quadrio

Turbulent shear flows are abundant in geophysical and astrophysical systems and in engineering-technology applications. They are often riddled with large-scale secondary flows that drastically modify the characteristics of the primary…

Fluid Dynamics · Physics 2023-06-21 Vignesh Jeganathan , Tala Shannak , Kamran Alba , Rodolfo Ostilla-Mónico

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…

Analysis of PDEs · Mathematics 2026-03-06 Edoardo Bocchi , Filippo Gazzola , Antonio Hidalgo-Torné

We consider the effect of radial fluid injection and suction on Taylor-Couette flow. Injection at the outer cylinder and suction at the inner cylinder generally results in a linearly unstable steady spiralling flow, even for cylindrical…

Fluid Dynamics · Physics 2015-05-14 Basile Gallet , Charles R. Doering , Edward A. Spiegel

We compute the flow induced by the steady translation of a rigid sphere along the axis of a large cylindrical container filled with a low-viscosity fluid set in rigid-body rotation, the sphere being constrained to spin at the same rate as…

Fluid Dynamics · Physics 2023-08-02 Tristan Aurégan , Thomas Bonometti , Jacques Magnaudet

Direct numerical simulations of turbulent non-rotating and rotating Plane Couette Flow with a periodically modulated plate velocity are conducted to study the effect of modulated forcing on turbulent shear flows. The time averaged shear…

Fluid Dynamics · Physics 2022-05-24 M. Wasy Akhtar , Rodolfo Ostilla Mónico

A simplified model for the stationary, axisymmetric structure of magnetized winds with a polytropic equation of state is presented. The shape of the magnetic surfaces is assumed to be known (conical in this paper) within the fast…

Astrophysics · Physics 2011-05-23 Thibaut Lery , J. Heyvaerts , S. Appl , C. A. Norman

It is known that an object translating parallel to a soft wall in a viscous fluid produces hydro- dynamic stresses that deform the wall, which, in turn, results in a lift force on the object. Recent experiments with cylinders sliding under…

Flow-induced instabilities are relevant for the storage and dynamics of magnetic fields in stellar convection zones and possibly also in other astrophysical contexts. We continue the study started in the first paper of this series by…

Astrophysics · Physics 2009-11-13 V. Holzwarth , D. Schmitt , M. Schuessler

We examine the fluid flow forced by precession of a rotating cylindrical container using numerical simulations and experimental flow measurements with ultrasonic Doppler velocimetry (UDV). The analysis is based on the decomposition of the…

We study the magnetorotational instability in cylindrical Taylor-Couette flow, with the (vertically unbounded) cylinders taken to be perfect conductors, and with externally imposed spiral magnetic fields. The azimuthal component of this…

Astrophysics · Physics 2009-11-11 G. Ruediger , R. Hollerbach , M. Schultz , D. A. Shalybkov
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