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Incompressible Navier-Stokes equations in the spherical coordinates are solved using a pseudo-spectral method to simulate the problem of spherical Couette flow. The flow is investigated for a narrow gap ratio with only the inner sphere…

流体动力学 · 物理学 2024-10-10 Ananthu J. P. , Manjul Sharma , Sameen A. , Vinod Narayanan

Travelling-wave solutions are shown to bifurcate from relative periodic orbits in plane Poiseuille flow at Re = 2000 in a saddle-node infinite period bifurcation. These solutions consist in self-sustaining sinuous quasi-streamwise streaks…

流体动力学 · 物理学 2016-05-04 Subhendu Rawat , Carlo Cossu , François Rincon

Axisymmetric steady solutions of Taylor-Couette flow at high Taylor numbers are studied numerically and theoretically. As the axial period of the solution shortens from about one gap length, the Nusselt number goes through two peaks before…

流体动力学 · 物理学 2023-08-02 Kengo Deguchi

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.…

流体动力学 · 物理学 2022-03-11 Fumitoshi Goto , Tomoaki Itano , Masako Sugihara-Seki , Takahiro Adachi

This paper numerically investigates the shear flow between double concentric spherical boundaries rotating differentially, so-called spherical Couette flow, under unstable thermal stratification, focusing on the boundary of the…

流体动力学 · 物理学 2021-11-30 Taishi Inagaki , Tomoaki Itano , Masako Sugihara-Seki

Perturbed plane Couette flow containing a thin spanwise-oriented ribbon undergoes a subcritical bifurcation at Re = 230 to a steady 3D state containing streamwise vortices. This bifurcation is followed by several others giving rise to a…

流体动力学 · 物理学 2009-11-10 Laurette S. Tuckerman , Dwight Barkley

Flow between concentric spheres of radius ratio $\eta = r_\mathrm{i}/r_\mathrm{o} = 0.35$ is studied in a 3 m outer diameter experiment. We have measured the torques required to maintain constant boundary speeds as well as localized wall…

流体动力学 · 物理学 2011-07-27 Daniel S. Zimmerman , Santiago Andrés Triana , Daniel P. Lathrop

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…

流体动力学 · 物理学 2007-05-23 L. A. Bordag , O. G. Chkhetiani , M. Froehner , V. Myrnyy

We present ten new equilibrium solutions to plane Couette flow in small periodic cells at low Reynolds number (Re) and two new traveling-wave solutions. The solutions are continued under changes of Re and spanwise period. We provide a…

流体动力学 · 物理学 2015-05-13 John F. Gibson , Jonathan Halcrow , Predrag Cvitanović

In order to explore the magnetostrophic regime expected for planetary cores, experiments have been conducted in a rotating sphere filled with liquid sodium, with an imposed dipolar magnetic field (the DTS setup). The field is produced by a…

We study the stability of the Couette-Taylor flow between porous cylinders with radial throughflow. It had been shown earlier that this flow can be unstable with respect to non-axisymmetric (azimuthal or helical) waves provided that the…

流体动力学 · 物理学 2019-12-02 Konstantin Ilin , Andrey Morgulis

Several teams have reported peculiar frequency spectra for flows in a spherical shell. To address their origin, we perform numerical simulations of the spherical Couette flow in a dipolar magnetic field, in the configuration of the DTS…

地球物理 · 物理学 2015-06-05 Aldo Figueroa , Nathanaël Schaeffer , Henri-Claude Nataf , Denys Schmitt

Rotating waves (RW) bifurcating from the axisymmetric basic magnetized spherical Couette (MSC) flow are computed by means of Newton-Krylov continuation techniques for periodic orbits. In addition, their stability is analysed in the…

流体动力学 · 物理学 2019-03-06 Ferran Garcia , Frank Stefani

We numerically investigate Taylor-Couette flow in a wide-gap configuration, with $r_i/r_o=1/2$, the inner cylinder rotating, and the outer cylinder stationary. The fluid is taken to be electrically conducting, and a magnetic field of the…

流体动力学 · 物理学 2017-04-07 Rainer Hollerbach , Farzana Khan

We study the inertial migration of a torque-free neutrally buoyant sphere in wall-bounded plane Couette flow over a wide range of channel Reynolds numbers, $Re_c$, in the limit of small particle Reynolds number\,($Re_p\ll1$) and confinement…

流体动力学 · 物理学 2022-11-04 Prateek Anand , Ganesh Subramanian

Axisymmetric direct numerical simulations are carried out to study the hydrodynamics of a laminar, stationary, incompressible, Newtonian, single-phase flow in an Annular Plane Couette (APC) channel. This configuration is that of a Straight…

流体动力学 · 物理学 2025-02-13 Rémi Macadré , Olivier C Masbernat , Frederic Risso , Roel Belt

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

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…

流体动力学 · 物理学 2015-06-15 Dmitry Zhilenko , Olga Krivonosova

The ultimate goal of a sound theory of turbulence in fluids is to close in a rational way the Reynolds equations, namely to express the time averaged turbulent stress tensor as a function of the time averaged velocity field. This closure…

流体动力学 · 物理学 2021-05-18 Yves Pomeau , Martine Le Berre

We investigate fundamental nonlinear dynamics of ferrofluidic Taylor-Couette flow - flow confined between two concentric independently rotating cylinders - consider small aspect ratio by solving the ferrohydrodynamical equations, carrying…

计算物理 · 物理学 2017-01-02 Sebastian Altmeyer , Younghae Do , Ying-Cheng Lai
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