Rayleigh–Taylor instability of a continuously stratified fluid under a general rotation field

1989 ◽  
Vol 1 (7) ◽  
pp. 1192-1199 ◽  
Author(s):  
L. A. Dávalos‐Orozco ◽  
J. E. Aguilar‐Rosas
Keyword(s):  
Stratified Fluid ◽  
Taylor Instability ◽  
General Rotation ◽  
Rotation Field ◽  
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.

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