Rayleigh–Taylor Instability with General Rotation and Surface Tension in Porous Media

2011 ◽  
Vol 36 (4) ◽  
pp. 621-633 ◽  
Author(s):  
G. A. Hoshoudy
Keyword(s):  
Surface Tension ◽  
Porous Media ◽  
Taylor Instability ◽  
General Rotation ◽  
Rayleigh Taylor Instability

scholarly journals Effects of Surface Tension and General Rotation on the Rayleigh-Taylor Instability of Three-Layer Flow

2013 ◽  
Vol 3 (1) ◽  
pp. 87
Author(s):  
G. A. Hoshoudy
Keyword(s):  
Surface Tension ◽  
Taylor Instability ◽  
Constant Density ◽  
Stable Case ◽  
General Rotation ◽  
Special Cases ◽  
General Dispersion ◽  
Rayleigh Taylor Instability ◽  
Layer Flow ◽  
The Stability

The stability of two interfaces separating three fluids, where the fluids are assumed to be incompressible, inviscid, and of constant density, has been investigated for a system that is acted upon by a general rotation. The effect of surface tension at the two interfaces is taken into account. A general dispersion relation for the system is obtained analytically by formulating the problem in terms of complex variables. Numerical calculations were performed for a hexane-NaCl-CCl4 system to investigate stable case, and special cases that isolate the effect of various parameters on the growth rate of the Rayleigh-Taylor instability are discussed. It is found that the two cutoff wave numbers for the system with surface tension are unchanged by the addition of a general rotation, and that for the system considered, all growth rates are reduced in the presence of a general rotation.

Effects of surface tension and rotation on the Rayleigh–Taylor instability

2002 ◽  
Vol 4 (8) ◽  
pp. 1464-1470 ◽  
Author(s):  
N. F. El-Ansary ◽  
G. A. Hoshoudy ◽  
A. S. Abd-Elrady ◽  
A. H. A. Ayyad
Keyword(s):  
Surface Tension ◽  
Taylor Instability ◽  
Rayleigh Taylor Instability
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