On the Rayleigh—Taylor instability in hydromagnetics with finite electrical resistivity and Hall current

1969 ◽  
Vol 3 (4) ◽  
pp. 633-642 ◽  
Author(s):  
Surindar Singh ◽  
J. N. Tandon
Keyword(s):  
Magnetic Field ◽  
Electrical Resistivity ◽  
Hall Current ◽  
Incompressible Fluids ◽  
Taylor Instability ◽  
High Resistivity ◽  
Horizontal Magnetic Field ◽  
Low Resistivity ◽  
Rayleigh Taylor Instability

The effect of Hall current and finite electrical resistivity has been studied on the Rayleigh—Taylor instability of superposed incompressible fluids in the presence of a uniform horizontal magnetic field. It is found that Hall current has a negligible stabilizing influence in the high resistivity limit whereas it has a destabilizing influence in the low resistivity limit.

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.

Sign in / Sign up

Export Citation Format

Share Document