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We consider the onset of Boussinesq convection in a horizontal layer of electrically conducting incompressible fluid with rigid electrically insulating horizontal boundaries. The fluid is heated from below and rotates about a vertical axis;…

斑图形成与孤子 · 物理学 2011-02-22 Olga Podvigina

We investigate the effect of external horizontal magnetic field applied on the convection rolls obliquely (at an angle $\phi$ with the $x$-axis) in electrically conducting low Prandtl number fluids under the paradigm of the…

流体动力学 · 物理学 2025-03-18 Snehashish Sarkar , Sutapa Mandal , Pinaki Pal

The effect of uniform magnetic field applied along a fixed horizontal direction in Rayleigh-B\'enard convection in low-Prandtl-number fluids has been studied using a low dimensional model. The model shows the onset of convection (primary…

斑图形成与孤子 · 物理学 2014-02-13 Pinaki Pal , Krishna Kumar

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

A model for three-dimensional Rayleigh-B\'{e}nard convection in low-Prandtl-number fluids near onset with rigid horizontal boundaries in the presence of a uniform vertical magnetic field is constructed and analyzed in detail. The kinetic…

流体动力学 · 物理学 2015-10-28 Arnab Basak , Krishna Kumar

In this study we consider the effect of a horizontal magnetic field on the Rayleigh-B\'enard convection in a finite liquid metal layer contained in a cuboid vessel (200 \times 200 \times 40 mm^3). Laboratory experiments are performed for…

流体动力学 · 物理学 2020-12-07 J. C. Yang , T. Vogt , S. Eckert

We investigate the stabilizing effects of the magnetic fields in the linearized magnetic Rayleigh-Taylor (RT) problem of a nonhomogeneous incompressible viscous magnetohydrodynamic fluid of zero resistivity in the presence of a uniform…

数学物理 · 物理学 2015-10-28 Fei Jiang , Song Jiang

The magnetorotational instability (MRI) is considered to be one of the most powerful sources of turbulence in hydrodynamically stable quasi-Keplerian flows, such as those governing accretion disk flows. Although the linear stability of…

流体动力学 · 物理学 2017-11-21 A. Guseva , R. Hollerbach , A. P. Willis , M. Avila

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

We investigate oscillatory instability and routes to chaos in Rayleigh-B\'enard convection of electrically conducting fluids in presence of external horizontal magnetic field. Three dimensional direct numerical simulations (DNS) of the…

流体动力学 · 物理学 2015-10-20 Yada Nandukumar , Pinaki Pal

The linear stability theory of Taylor-Couette flows (unbounded in_z_) is described including magnetic fields, Hall effect or a density stratification in order to prepare laboratory experiments to probe the stability of differential rotation…

天体物理学 · 物理学 2007-05-23 Guenther Ruediger

It is still an open problem whether the inhibition phenomenon of Rayleigh--Taylor (RT) instability by horizontal magnetic field can be mathematically proved in a non-resistive magnetohydrodynamic (MHD) fluid in a two-dimensional (2D)…

偏微分方程分析 · 数学 2021-05-17 Fei Jiang , Song Jiang , Youyi Zhao

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…

太阳与恒星天体物理 · 物理学 2015-05-13 G. Ruediger , M. Schultz

We present the results of direct numerical simulations of Rayleigh-B\'enard convection in the presence of a uniform vertical magnetic field near instability onset. We have done simulations in boxes with square as well as rectangular…

流体动力学 · 物理学 2014-09-10 Arnab Basak , Rohit Raveendran , Krishna Kumar

Two-dimensional Rayleigh-Taylor(RT) instability problem is simulated with a multiple-relaxation-time discrete Boltzmann model with gravity term. The viscosity, heat conductivity and Prandtl number effects are probed from the macroscopic and…

软凝聚态物质 · 物理学 2018-03-07 Feng Chen , Aiguo Xu , Guangcai Zhang

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…

天体物理学 · 物理学 2016-08-16 G. Rüdiger , D. A. Shalybkov

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

We present the results of our investigations of the primary instability and the flow patterns near onset in zero-Prandtl-number Rayleigh-B\'enard convection with uniform rotation about a vertical axis. The investigations are carried out…

流体动力学 · 物理学 2014-10-28 Priyanka Maity , Krishna Kumar

We investigate inviscid instability in an electrically conducting fluid affected by a parallel magnetic field. The case of low magnetic Reynolds number in Poiseuille flow is considered. When the magnetic field is sufficiently strong, for a…

流体动力学 · 物理学 2013-07-22 A. V. Monwanou , J. B. Chabi Orou

Magnetic buoyancy instability plays an important role in the evolution of astrophysical magnetic fields. Here we revisit the problem introduced by \citet{Gilman_1970} of the short wavelength linear stability of a plane layer of compressible…

太阳与恒星天体物理 · 物理学 2015-06-15 K. A. Mizerski , C. R. Davies , D. W. Hughes
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