Study of the effect of viscosity and homogeneous horizontal magnetic field on Rayleigh-Taylor instability

2003 ◽  
Vol 83 (1) ◽  
pp. 61-68 ◽  
Author(s):  
G.A. Hoshoudy ◽  
N.F. El-Ansary
Keyword(s):  
Magnetic Field ◽  
Taylor Instability ◽  
Horizontal Magnetic Field ◽  
Rayleigh Taylor Instability

Rayleigh-Taylor Instability of a Stratified Magnetized Medium in the Presence of Suspended Particles

1984 ◽  
Vol 39 (10) ◽  
pp. 939-944 ◽  
Author(s):  
R. K. Chhajlani ◽  
R. K. Sanghvi ◽  
P. Purohit
Keyword(s):  
Magnetic Field ◽  
Growth Rate ◽  
Suspended Particles ◽  
Frequency Parameter ◽  
Relaxation Frequency ◽  
Taylor Instability ◽  
Horizontal Magnetic Field ◽  
Rayleigh Taylor Instability ◽  
The Stability ◽  
The Magnetic Field

Abstract The hydromagnetric Rayleigh-Taylor instability of a composite medium has been studied in the presence of suspended particles for an exponentially varying density distribution. The prevalent horizontal magnetic field and viscosity of the medium are assumed to be variable. The dispersion relation is derived for such a medium. It is found that the stability criterion is independent of both viscosity and suspended particles. The system can be stabilized for an appropriate value of the magnetic field. It is found that the suspended particles can suppress as well as enhance the growth rate of the instability in certain regions. The growth rates are obtained for a viscid medium with the inclusion of suspended particles and without it. It has been shown analytically that the growth rate is modified by the inclusion of the relaxation frequency parameter of the suspended particles.

A novel form of the MHD Rayleigh–Taylor instability

1975 ◽  
Vol 72 (1) ◽  
pp. 135-143 ◽  
Author(s):  
I. S. Robinson
Keyword(s):  
Magnetic Field ◽  
Electric Current ◽  
Taylor Instability ◽  
Horizontal Magnetic Field ◽  
Current Path ◽  
Rayleigh Taylor Instability

When a mutually perpendicular horizontal magnetic field and electric current are imposed upon an electrolytic liquid in a tank covered by a lighter nonconducting fluid, the interface can become unstable. In the experiment described in this paper the tank floor is stepped so that only part of the interface becomes unstable. The result is a distinctive arch-like configuration of the electrolyte, which finally disintegrates to break the current path, but which will continue to repeat itself.

scholarly journals Rayleigh-Taylor Instability of a Compressible Plasma with Finite Larmor Radius Effects

1993 ◽  
Vol 48 (8-9) ◽  
pp. 844-850
Author(s):  
P. D. Ariel
Keyword(s):  
Magnetic Field ◽  
Variational Principle ◽  
Plasma Layer ◽  
Finite Thickness ◽  
Taylor Instability ◽  
Larmor Radius ◽  
Horizontal Magnetic Field ◽  
Finite Larmor Radius ◽  
Compressible Plasma ◽  
Rayleigh Taylor Instability

Abstract The Rayleigh-Taylor instability of a compressible plasma in the presence of a horizontal magnetic field is investigated, taking into account the effects of finite Larmor radius. Only transverse perturbations are considered. The problem is shown to be characterized by a variational principle. Using it, the dispersion relation is obtained for a plasma layer of finite thickness and having an exponentially varying density. It is found that the finite Larmor radius effects can thoroughly stabilize unstable configurations. For configurations which are not completely stabilized, the compressibility stabilizes some of the disturbances which are unstable for an incompressible plasma.

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