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We study the stability of a compressible differentially rotating flows in the presence of the magnetic field, and we show that the compressibility profoundly alters the previous results for a magnetized incompressible flow. The necessary…

天体物理学 · 物理学 2009-11-11 A. Bonanno , V. Urpin

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…

天体物理学 · 物理学 2008-11-26 Alfio Bonanno , Vadim Urpin

We study the magneto-rotational instability of an incompressible flow which rotates with angular velocity Omega(r)=a+b/r^2 where r is the radius and $a$ and b are constants. We find that an applied magnetic field destabilises the flow, in…

天体物理学 · 物理学 2008-11-26 Ashley P. Willis , Carlo F. Barenghi

Transport of angular momentum is one of the thrust areas of astrophysical flows. Instabilities and hence the turbulence generated by it has been invoked to understand its role in angular momentum transport in hydrodynamic and…

天体物理学 · 物理学 2009-11-13 Mradul Sharma

The transport of angular momentum in the outward direction is the fundamental requirement for accretion to proceed in an accretion disc. This objective can be achieved if the accretion flow is turbulent. Instabilities are one of the sources…

星系天体物理 · 物理学 2014-11-21 Mradul Sharma

During the last decade it has become evident that the magnetorotational instability is at the heart of the enhanced angular momentum transport in weakly magnetized accretion disks around neutron stars and black holes. In this paper, we…

天体物理学 · 物理学 2009-11-10 Martin E. Pessah , Dimitrios Psaltis

The dynamics of the oscillator system is investigated. The conditions under which this dynamics becomes unstable are determined. In particular, it is shown that plasma in constant magnetic field becomes unstable if its density exceeds a…

等离子体物理 · 物理学 2019-04-23 Vyacheslav Buts

The self-gravitating instability of a compressible-inviscid fluid cylinder immersed into a self-gravitating tenuous medium of negligible motion is developed. The stability criterion is derived based on the linear perturbation technique.…

流体动力学 · 物理学 2007-05-23 Ahmed E. Radwan , Gamal G. L. Nashed

Stability properties of magnetic-field configurations containing the toroidal and axial field are considered. The stability is treated by making use of linear analysis. It is shown that the conditions required for the onset of instability…

天体物理学 · 物理学 2009-11-13 Alfio Bonanno , Vadim Urpin

The linear stability of electrically driven flow of liquid metal in circular channel in the presence of vertical magnetic field is studied. It is shown that the instability threshold of such flow is determined by magnetorotational…

天体物理学 · 物理学 2007-11-20 I. V. Khalzov , A. I. Smolyakov , V. I. Ilgisonis

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…

流体动力学 · 物理学 2019-02-14 Oleg Zikanov , Yaroslav Listratov , Xuan Zhang , Valentin Sviridov

Magneto-rotational instability (MRI) is an important instability mechanism for rotating flows with magnetic fields. In particular, when the strength of the magnetic field tends to zero, the stability criterion for rotating flows is…

偏微分方程分析 · 数学 2024-10-28 Zhiwu Lin , Yucong Wang , Wenpei Wu

We consider the stability of a configuration consisting of a vertical magnetic field in a planar flow on elliptical streamlines in ideal hydromagnetics. In the absence of a magnetic field the elliptical flow is universally unstable (the…

天体物理学 · 物理学 2009-11-10 Norman R. Lebovitz , Ellen G. Zweibel

We reveal and investigate a new type of linear axisymmetric helical magnetorotational instability which is capable of destabilizing viscous and resistive rotational flows with radially increasing angular velocity, or positive shear. This…

流体动力学 · 物理学 2019-10-23 G. Mamatsashvili , F. Stefani , R. Hollerbach , G. Rüdiger

We study the nonlinear evolution of the magnetic buoyancy instability in rotating and non-rotating gas layers using numerical solutions of non-ideal, isothermal MHD equations. The unstable magnetic field is either imposed through the…

星系天体物理 · 物理学 2025-09-09 Yasin Qazi , Anvar Shukurov , Devika Tharakkal , Frederick A. Gent

We study the stability of cylindrical Taylor-Couette flow in the presence of combined axial and azimuthal magnetic fields, and show that adding an azimuthal field profoundly alters the previous results for purely axial fields. For small…

天体物理学 · 物理学 2009-11-13 R. Hollerbach , G. Ruediger

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…

天体物理学 · 物理学 2009-11-13 Volkmar Holzwarth

We perform a linear stability analysis of magnetized rotating cylindrical jet flows in the approximation of zero thermal pressure. We focus our analysis on the effect of rotation on the current driven mode and on the unstable modes…

高能天体物理现象 · 物理学 2016-08-31 G. Bodo , G. Mamatsashvili , P. Rossi , A. Mignone

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

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…

流体动力学 · 物理学 2015-11-23 Frank Stefani , Oleg N. Kirillov
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