The rayleigh-taylor instability of a stratified rotating fluid through a porous medium in a two-dimensional magnetic field

1993 ◽  
Vol 199 (2) ◽  
pp. 279-288 ◽  
Author(s):  
Shikha Oza ◽  
P. K. Bhatia
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Taylor Instability ◽  
Two Dimensional ◽  
Rotating Fluid ◽  
Rayleigh Taylor Instability

Rayleigh-Taylor Instability of a Partially Ionized Plasma in a Porous Medium in Presence of a Variable Magnetic Field

1992 ◽  
Vol 47 (12) ◽  
pp. 1227-1231
Author(s):  
R. C. Sharma ◽  
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Variable Magnetic Field ◽  
Taylor Instability ◽  
Wave Number ◽  
Medium Permeability ◽  
Wave Numbers ◽  
Rayleigh Taylor Instability ◽  
Partially Ionized ◽  
The Magnetic Field

Abstract The Rayleigh-Taylor instability of a partially ionized plasma in a porous medium is considered in the presence of a variable magnetic field perpendicular to gravity. The cases of two uniform partially ionized plasmas separated by a horizontal boundary and exponentially varying density, viscosity, magnetic field and neutral particle number density are considered. In each case, the magnetic field succeeds in stabilizing waves in a certain wave-number range which were unstable in the absence of the magnetic field, whereas the system is found to be stable for potentially stable configuration/stable stratifications. The growth rates both increase (for certain wave numbers) and decrease (for different wave numbers) with the increase in kinematic viscosity, medium permeability and collisional frequency. The medium permeability and collisions do not have any qualitative effect on the nature of stability or instability.

Rayleigh-Taylor Instability of Viscous-Viscoelastic Fluids in Presence of Suspended Particles Through Porous Medium

1996 ◽  
Vol 51 (1-2) ◽  
pp. 17-22 ◽  
Author(s):  
Pardeep Kumar
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Suspended Particles ◽  
Taylor Instability ◽  
Viscous Fluids ◽  
Wave Number ◽  
Uniform Rotation ◽  
Stable Case ◽  
Unstable Case ◽  
Rayleigh Taylor Instability

Abstract The Rayleigh-Taylor instability of a Newtonian viscous fluid overlying an Oldroydian viscoelastic fluid containing suspended particles in a porous medium is considered. As in both Newtonian viscous-viscous fluids the system is stable in the potentially stable case and unstable in the potentially unstable case, this holds for the present problem also. The effects of a variable horizontal magnetic field and a uniform rotation are also considered. The presence of magnetic field stabilizes a certain wave-number band, whereas the system is unstable for all wave-numbers in the absence of the magnetic field for the potentially unstable configuration. However, the system is stable in the potentially stable case and unstable in the potentially unstable case for highly viscous fluids in the presence of a uniform rotation.

Nonlinear Rayleigh-Taylor instability in hydromagnetics

1983 ◽  
Vol 30 (2) ◽  
pp. 193-201 ◽  
Author(s):  
B. B. Chakraborty ◽  
A. R. Nayak ◽  
H. K. S. Iyengar
Keyword(s):  
Magnetic Field ◽  
Three Dimensional ◽  
Stationary Wave ◽  
Two Dimensions ◽  
Taylor Instability ◽  
Multiple Time Scales ◽  
Multiple Time ◽  
Two Dimensional ◽  
Instability Problem ◽  
Rayleigh Taylor Instability

Nonlinear Rayleigh-Taylor instability of a heavy, infinitely conducting fluid, supported against gravity by a uniform magnetic field in the vacuum, is studied for three-dimensional disturbances using the method of multiple time-scales. The three-dimensional problem can be reduced to two dimensions as it is found that an instability present for a three-dimensional disturbance of a given wavelength, for a given equilibrium magnetic field, is also present for a two-dimensional disturbance of the same wavelength propagating along an equilibrium magnetic field of lower strength. The instability is studied for both standing and progressive waves. Although in the linear stability problem the instability growth rate for a progressive wave of a given wavelength is equal to that for a stationary wave of the same wavelength, in the nonlinear instability problem studied here these waves are found to have different growth rates. Our results are compared and contrasted with those for the two-dimensional instability problem studied earlier.

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