Effect of normal and parallel magnetic fields on the stability of interfacial flows of magnetic fluids in channels

2010 ◽  
Vol 22 (2) ◽  
pp. 022103 ◽  
Author(s):  
Philip Yecko

The first part of the paper is a physical discussion of the way in which a magnetic field affects the stability of a fluid in motion. Particular emphasis is given to how the magnetic field affects the interaction of the disturbance with the mean motion. The second part is an analysis of the stability of plane parallel flows of fluids with finite viscosity and conductivity under the action of uniform parallel magnetic fields. We show that, in general, three-dimensional disturbances are the most unstable, thus disagreeing with the conclusion of Michael (1953) and Stuart (1954). We show how results obtained for two-dimensional disturbances can be used to calculate the most unstable three-dimensional disturbances and thence we prove that a parallel magnetic field can never completely stabilize a parallel flow.


1982 ◽  
Vol 84 (1) ◽  
pp. 247-250 ◽  
Author(s):  
A. Satya Narayanan ◽  
K. Somasundaram

Data ◽  
2021 ◽  
Vol 6 (1) ◽  
pp. 4
Author(s):  
Evgeny Mikhailov ◽  
Daniela Boneva ◽  
Maria Pashentseva

A wide range of astrophysical objects, such as the Sun, galaxies, stars, planets, accretion discs etc., have large-scale magnetic fields. Their generation is often based on the dynamo mechanism, which is connected with joint action of the alpha-effect and differential rotation. They compete with the turbulent diffusion. If the dynamo is intensive enough, the magnetic field grows, else it decays. The magnetic field evolution is described by Steenbeck—Krause—Raedler equations, which are quite difficult to be solved. So, for different objects, specific two-dimensional models are used. As for thin discs (this shape corresponds to galaxies and accretion discs), usually, no-z approximation is used. Some of the partial derivatives are changed by the algebraic expressions, and the solenoidality condition is taken into account as well. The field generation is restricted by the equipartition value and saturates if the field becomes comparable with it. From the point of view of mathematical physics, they can be characterized as stable points of the equations. The field can come to these values monotonously or have oscillations. It depends on the type of the stability of these points, whether it is a node or focus. Here, we study the stability of such points and give examples for astrophysical applications.


Author(s):  
Hiroaki Mamiya ◽  
Hironori Sudo ◽  
Jhon L. Cuya Huaman ◽  
Kazumasa Suzuki ◽  
Hiroshi Miyamura ◽  
...  

2001 ◽  
Vol 294-295 ◽  
pp. 427-430 ◽  
Author(s):  
Y. Shimojo ◽  
A.E. Kovalev ◽  
S. Kamiya ◽  
E. Ohmichi ◽  
T. Ishiguro ◽  
...  

1994 ◽  
Vol 235-240 ◽  
pp. 3095-3096
Author(s):  
F. Ichikawa ◽  
T. Nishizaki ◽  
K. Yamabe ◽  
Y. Yamasaki ◽  
T. Fukami ◽  
...  

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