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This study is concerned with numerical linear stability analysis of liquid metal flow in a square duct with thin electrically conducting walls subject to a uniform transverse magnetic field. We derive an asymptotic solution for the base…

流体动力学 · 物理学 2016-01-27 Jānis Priede , Thomas Arlt , Leo Bühler

We analyse numerically the linear stability of the fully developed flow of a liquid metal in a rectangular duct subject to a transverse magnetic field. The walls of the duct perpendicular to the magnetic field are perfectly conducting…

流体动力学 · 物理学 2015-05-13 J. Priede , S. Aleksandrova , S. Molokov

The stability of a flow of an electrically conducting, incompressible fluid in a channel with an imposed uniform wall-normal magnetic field and electrically insulating walls is studied using linear stability analysis and direct numerical…

流体动力学 · 物理学 2025-12-23 Roman Okatev , Oleg Zikanov , Dmitry Krasnov , Peter Frick

The possibility that the magnetic shear-flow instability (MRI, Balbus-Hawley instability) might give rise to turbulence in a cylindric Couette flow is investigated through numerical simulations. The study is linear and the fluid flow is…

天体物理学 · 物理学 2009-11-06 G. Rüdiger , Y. Zhang

The present study is concerned with the stability of a flow of viscous conducting liquid driven by pressure gradient in the channel between two parallel walls subject to a transverse magnetic field. Although the magnetic field has a strong…

流体动力学 · 物理学 2014-12-04 Jonathan Hagan , Jānis Priede

The linear stability of a fully-developed liquid-metal MHD pipe flow subject to a transverse magnetic field is studied numerically. Because of the lack of axial symmetry in the mean velocity profile, we need to perform a BiGlobal stability…

流体动力学 · 物理学 2023-05-03 Yelyzaveta Velizhanina , Bernard Knaepen

The effects of a vertical static magnetic field on the flow structure and global transport properties of momentum and heat in liquid metal Rayleigh-B\'enard convection are investigated. Experiments are conducted in a cylindrical convection…

流体动力学 · 物理学 2020-05-13 Till Zürner , Felix Schindler , Tobias Vogt , Sven Eckert , Jörg Schumacher

First results of a new spherical Couette experiment are presented. The liquid metal flow in a spherical shell is exposed to a homogeneous axial magnetic field. For a Reynolds number Re=1000, we study the effect of increasing Hartmann number…

流体动力学 · 物理学 2017-07-24 C. Kasprzyk , E. Kaplan , M. Seilmayer , F. Stefani

Using a new numerical code we have carried out two-dimensional simulations of the nonlinear evolution of unstable sheared magnetohydrodynamic flows. We considered two cases: a strong magnetic field (Alfven Mach number, M_a = 2.5) and a weak…

天体物理学 · 物理学 2009-10-28 Adam Frank , T. W. Jones , Dongsu Ryu , Joseph B. Gaalaas

This paper analyses the effects of small injection/suction Reynolds number, Hartmann number, permeability parameter and wave number on a viscous incompressilbe electrically conduction fluid flow in a parallel porous channel. The plates of…

流体动力学 · 物理学 2017-09-25 L. A. Hinvi , A. V. Monwanou , J. B. Chabi Orou

We analyse numerically the linear stability of a liquid metal flow in a rectangular duct with perfectly electrically conducting walls subject to a uniform transverse magnetic field. A non-standard three dimensional vector stream…

流体动力学 · 物理学 2012-09-26 Jānis Priede , Svetlana Aleksandrova , Sergei Molokov

This research is focused on linear analysis of a plane-parallel flow stability in a transverse magnetic field (Hartmann flow) within a convective approximation. We derive and solve equations describing the perturbation growth. Perturbation…

流体动力学 · 物理学 2015-02-27 I. Yu. Kalashnikov

The interaction of differential rotation and toroidal fields that are current-free in the gap between two corotating axially unbounded cylinders is considered. It is shown that nonaxisymmetric perturbations are unstable if the rotation rate…

太阳与恒星天体物理 · 物理学 2015-06-15 G. Ruediger , M. Gellert , M. Schultz , R. Hollerbach , F. Stefani

We analyze weakly nonlinear stability of a flow of viscous conducting liquid driven by pressure gradient in the channel between two parallel walls subject to a transverse magnetic field. Using a non-standard numerical approach, we compute…

流体动力学 · 物理学 2015-06-11 Jonathan Hagan , Jānis Priede

We study the energy stability of pressure-driven laminar magnetohydrodynamic flow in a rectangular duct with transverse homogeneous magnetic field and electrically insulating walls. For sufficiently strong fields, the laminar velocity…

流体动力学 · 物理学 2024-05-29 Thomas Boeck , Mattias Brynjell-Rahkola , Yohann Duguet

Inspired by the experiment from Moresco \& Alboussi\`ere (2004, J. Fluid Mech.), we study the stability of a liquid metal flow in a rectangular, electrically insulating duct with a steady homogeneous transverse magnetic field. The Lorentz…

流体动力学 · 物理学 2020-06-09 Alban Pothérat

The stability of the flow under the magnetic force is one of the classical problems in fluid mechanics. In this paper, the flow in a rectangular duct with different Hartmann (Ha) number is simulated. The finite volume method and the SIMPLE…

流体动力学 · 物理学 2019-02-08 Rahman Anisur , Wenqia Xu , Kunhang Li , Hua-Shu Dou , Boo Cheong Khoo , Jie Mao

We consider the influence of a transverse magnetic field on the transient growth of perturbations in a liquid-metal circular pipe flow with an electrically insulating or conducting wall. In this configuration, the mean flow profile and the…

流体动力学 · 物理学 2024-05-24 Yelyzaveta Velizhanina , Bernard Knaepen

We study the instability of a B\'enard layer subject to a vertical uniform magnetic field, in which the fluid obeys the Maxwell-Cattaneo (MC) heat flux-temperature relation. We extend the work of Bissell (Proc. R. Soc. A, 472: 20160649,…

流体动力学 · 物理学 2020-10-15 I. A. Eltayeb , D. W. Hughes , M. R. E. Proctor

The nonaxisymmetric azimuthal magnetorotational instability is studied for hydromagnetic Taylor-Couette flows between cylinders of finite electrical conductivity. We find that the magnetic Prandtl number Pm determines whether perfectly…

流体动力学 · 物理学 2018-10-10 Günther Rüdiger , Manfred Schultz , Frank Stefani , Rainer Hollerbach
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