Rayleigh-Taylor instability of ionized viscous fluids with FLR-corrections and surface-tension

1989 ◽  
Vol 155 (2) ◽  
pp. 257-269 ◽  
Author(s):  
R. K. Chhajlani ◽  
D. S. Vaghela
Keyword(s):  
Surface Tension ◽  
Taylor Instability ◽  
Viscous Fluids ◽  
Rayleigh Taylor Instability

scholarly journals A new upper bound for the largest growth rate of linear Rayleigh–Taylor instability

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Changsheng Dou ◽  
Jialiang Wang ◽  
Weiwei Wang
Keyword(s):  
Surface Tension ◽  
Growth Rate ◽  
Upper Bound ◽  
Viscous Fluids ◽  
Instability Condition ◽  
Interface Surface ◽  
Incompressible Viscous Fluids ◽  
Rayleigh Taylor Instability ◽  
Surface Tensor ◽  
Rt Instability

AbstractWe investigate the effect of (interface) surface tensor on the linear Rayleigh–Taylor (RT) instability in stratified incompressible viscous fluids. The existence of linear RT instability solutions with largest growth rate Λ is proved under the instability condition (i.e., the surface tension coefficient ϑ is less than a threshold $\vartheta _{\mathrm{c}}$ ϑ c ) by the modified variational method of PDEs. Moreover, we find a new upper bound for Λ. In particular, we directly observe from the upper bound that Λ decreasingly converges to zero as ϑ goes from zero to the threshold $\vartheta _{\mathrm{c}}$ ϑ c .

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
Sign in / Sign up

Export Citation Format

Share Document