Rayleigh-Taylor instability of two stratified Rivlin-Ericksen superposed fluids permeated with suspended particles in porous medium

2012 ◽  
Vol 1 (2) ◽  
Keyword(s):  
Porous Medium ◽  
Suspended Particles ◽  
Taylor Instability ◽  
Rayleigh Taylor Instability ◽  
Superposed Fluids

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.

scholarly journals Effect of Horizontal and Vertical Magnetic Fields on Rayleigh?Taylor Instability

1968 ◽  
Vol 21 (6) ◽  
pp. 923 ◽  
Author(s):  
RC Sharma ◽  
KM Srivastava
Keyword(s):  
Magnetic Fields ◽  
General Equation ◽  
Taylor Instability ◽  
Combined Effect ◽  
Physical Situation ◽  
Stable Case ◽  
Unstable Case ◽  
Rayleigh Taylor Instability ◽  
The Stability ◽  
Superposed Fluids

A general equation studying the combined effect of horizontal and vertical magnetic fields on the stability of two superposed fluids has been obtained. The unstable and stable cases at the interface (z = 0) between two uniform fluids, with both the possibilities of real and complex n, have been. separately dealt with. Some new results are obtained. In the unstable case with real n, the perturbations are damped or unstable according as 2(k'-k~L2)_(<X2-<Xl)k is> or < 0 under the physical situation (35). In the stable case, the perturbations are stable or unstable according as 2(k2_k~L2)+(<Xl-<X2)k is > or < 0 under the same physical situation (35). The perturbations become unstable if HIlIH 1- (= L) is large. Both the cases are also discussed with imaginary n.

Density driven natural convection in a porous medium associated with Rayleigh-Taylor instability

2016 ◽  
Vol 2016 (0) ◽  
pp. I123
Author(s):  
Tetsuya Suekane ◽  
Yuji Nakanishi ◽  
Alexis Daniel Van Hoang Teston ◽  
Lei Wang
Keyword(s):  
Porous Medium ◽  
Natural Convection ◽  
Taylor Instability ◽  
Rayleigh Taylor Instability
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