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The linear marginal instability of an axisymmetric MHD Taylor-Couette flow of infinite vertical extension is considered. For flows with a resting outer cylinder there is a well-known characteristic Reynolds number even without magnetic…

Astrophysics · Physics 2016-08-16 G. Rüdiger , D. A. Shalybkov

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…

Fluid Dynamics · Physics 2023-05-03 Yelyzaveta Velizhanina , Bernard Knaepen

Thermal convection in an electrically conducting fluid (for example, a liquid metal) in the presence of a static magnetic field is considered in this chapter. The focus is on the extreme states of the flow, in which both buoyancy and…

Fluid Dynamics · Physics 2019-02-14 Oleg Zikanov , Yaroslav Listratov , Xuan Zhang , Valentin Sviridov

We study magnetic Taylor-Couette flow in a system having nondimensional radii $r_i=1$ and $r_o=2$, and periodic in the axial direction with wavelengths $h\ge100$. The rotation ratio of the inner and outer cylinders is adjusted to be…

Fluid Dynamics · Physics 2017-06-07 Rainer Hollerbach , Nigel Sibanda , Eun-jin Kim

The magnetorotational instability (MRI) is thought to be a powerful source of turbulence and momentum transport in astrophysical accretion discs, but obtaining observational evidence of its operation is challenging. Recently, laboratory…

Fluid Dynamics · Physics 2015-09-15 A. Guseva , A. P. Willis , R. Hollerbach , M. Avila

Decades ago S. Lundquist, S. Chandrasekhar, P.H. Roberts and R. J.~Tayler first posed questions about the stability of Taylor-Couette flows of conducting material under the influence of large-scale magnetic fields. These and many new…

Plasma Physics · Physics 2018-05-23 Günther Rüdiger , Marcus Gellert , Rainer Hollerbach , Manfred Schultz , Frank Stefani

The large Reynolds number asymptotic approximation of the neutral curve of Taylor-Couette flow subject to axial uniform magnetic field is analysed. The flow has been extensively studied since early 90's as the magneto-rotational instability…

Fluid Dynamics · Physics 2019-02-27 Kengo Deguchi

We predict a novel flow regime in liquid metals under the influence of a magnetic field. It is characterised by long periods of nearly steady, two-dimensional flow interrupted by violent three-dimensional bursts. Our prediction has been…

Fluid Dynamics · Physics 2008-12-09 Thomas Boeck , Dmitry Krasnov , Andre Thess , Oleg Zikanov

The characteristics of two-phase stratified magnetohydrodynamic (MHD) flow in horizontal rectangular ducts are investigated for a system consisting of a conductive liquid and a non-conductive gas. Numerical and analytical solutions of the…

Fluid Dynamics · Physics 2026-03-04 Subham Pal , Ilya Barmak , Arseniy Parfenov , Alexander Gelfgat , Neima Brauner

Instability of a stratified two-phase MHD parallel flow between two infinite plates is addressed. We examine the effect of the transverse magnetic field on the base flow and long wave instability of a two-layer system consisting of…

Fluid Dynamics · Physics 2025-11-25 Arseniy Parfenov , Alexander Gelfgat , Neima Brauner

This paper studies the instability of two-dimensional magnetohydrodynamic (MHD) systems on a sphere using analytical methods. The underlying flow consists of a zonal differential rotation and a toroidal magnetic field is present. Semicircle…

Fluid Dynamics · Physics 2022-12-20 Chen Wang , Andrew D. Gilbert , Joanne Mason

Fluid instabilities like Rayleigh-Taylor,Richtmyer-Meshkov and Kelvin-Helmholtz instability can occur in a wide range of physical phenomenon from astrophysical context to Inertial Confinement Fusion(ICF).Using Layzer's potential flow model,…

Plasma Physics · Physics 2015-05-27 Manoranjan Khan , Labakanta Mandal , Rahul Banerjee , Sourav Roy , M. R. Gupta

In addition to buoyancy- and magnetic tension-driven instabilities, magnetic flux rings are also susceptible to an instability induced by the hydrodynamic drag force. We investigate the influence of the toroidal shape and equilibrium…

Astrophysics · Physics 2009-11-13 Volkmar Holzwarth

We investigate the evolution of magnetohydrodynamic perturbations in presence of stochastic noise in rotating shear flows. The particular emphasis is the flows whose angular velocity decreases but specific angular momentum increases with…

High Energy Astrophysical Phenomena · Physics 2015-08-12 Sujit Kumar Nath

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…

Fluid Dynamics · Physics 2019-03-06 Ferran Garcia , Frank Stefani

According to Rayleigh's criterion, rotating flows are linearly stable when their specific angular momentum increases radially outward. The celebrated magnetorotational instability opens a way to destabilize those flows, as long as the…

Fluid Dynamics · Physics 2015-11-23 Frank Stefani , Oleg N. Kirillov

We study the stability of a compressible magnetic plane Couette flow and show that compressibility profoundly alters the stability properties if the magnetic field has a component perpendicular to the direction of flow. The necessary…

Astrophysics · Physics 2008-11-26 Alfio Bonanno , Vadim Urpin

This study presents numerical simulations and experiments considering the flow of an electrically conducting fluid inside a cube driven by a rotating magnetic field (RMF). The investigations are focused on the spin-up, where a liquid metal…

Fluid Dynamics · Physics 2017-11-22 V. Galindo , R. Nauber , D. Räbiger , S. Franke , H. Beyer , L. Büttner , J. Czarske , S. Eckert

We present a linear analysis of the radiative Rayleigh-Taylor (RT) instability in the presence of magnetic field for both optically thin and thick regimes. When the flow is optically thin, magnetic field not only stabilizes perturbations…

Astrophysics of Galaxies · Physics 2018-03-28 Asiyeh Yaghoobi , Mohsen Shadmehri

In the paradigm of magnetic acceleration of relativistic outflows, a crucial point is identifying a viable mechanism to convert the Poynting flux into the kinetic energy of the plasma, and eventually into the observed radiation. Since the…

High Energy Astrophysical Phenomena · Physics 2018-08-29 Emanuele Sobacchi , Yuri E. Lyubarsky