The Rayleigh–Taylor instability of viscous fluid layers

1997 ◽  
Vol 9 (6) ◽  
pp. 1635-1649 ◽  
Author(s):  
A. Elgowainy ◽  
N. Ashgriz
Keyword(s):  
Viscous Fluid ◽  
Taylor Instability ◽  
Fluid Layers ◽  
Rayleigh Taylor Instability

On the Stability of Two Superposed Viscous-Viscoelastic (Walters B′) Fluids

2006 ◽  
Vol 129 (1) ◽  
pp. 116-119 ◽  
Author(s):  
Pardeep Kumar ◽  
Roshan Lal
Keyword(s):  
Viscous Fluid ◽  
Viscoelastic Fluid ◽  
Kinematic Viscosity ◽  
Taylor Instability ◽  
Stable Configuration ◽  
Stabilizing Effect ◽  
Unstable Configuration ◽  
Rayleigh Taylor Instability ◽  
Newtonian Viscous Fluid ◽  
The Stability

The Rayleigh-Taylor instability of a Newtonian viscous fluid overlying Walters B′ viscoelastic fluid is considered. For the stable configuration, the system is found to be stable or unstable under certain conditions. However, the system is found to be unstable for the potentially unstable configuration. Further it is found numerically that kinematic viscosity has a destabilizing effect, whereas kinematic viscoelasticity has a stabilizing effect on the system.

Linear Growth of Rayleigh–Taylor Instability of Two Finite-Thickness Fluid Layers

2017 ◽  
Vol 34 (7) ◽  
pp. 075201
Author(s):  
Hong-Yu Guo ◽  
Li-Feng Wang ◽  
Wen-Hua Ye ◽  
Jun-Feng Wu ◽  
Wei-Yan Zhang
Keyword(s):  
Linear Growth ◽  
Finite Thickness ◽  
Taylor Instability ◽  
Fluid Layers ◽  
Rayleigh Taylor Instability

Rayleigh-Taylor instability of fluid layers

1987 ◽  
Vol 178 ◽  
pp. 161-175 ◽  
Author(s):  
G. R. Baker ◽  
R. L. Mccrory ◽  
C. P. Verdon ◽  
S. A. Orszag
Keyword(s):  
Fluid Layer ◽  
Taylor Instability ◽  
Thin Layers ◽  
Inviscid Fluid ◽  
Gravitational Acceleration ◽  
Pressure Gradients ◽  
Infinite Layer ◽  
Fluid Layers ◽  
Pressure Maximum ◽  
Rayleigh Taylor Instability

It is shown that the Rayleigh-Taylor instability of an accelerating incompressible, inviscid fluid layer is the result of pressure gradients, not gravitational acceleration. As in the classical Rayleigh-Taylor instability of a semi-infinite layer, finite fluid layers form long thin spikes whose structure is essentially independent of the initial thickness of the layer. A pressure maximum develops above the spike that effectively uncouples the flow in the spike from the rest of the fluid. Interspersed between the spikes are rising bubbles. The bubble motion is seriously affected by the thickness of the layer. For thin layers, the bubbles accelerate upwards exponentially in time and the layer thins so rapidly that it may disrupt at finite times.

Rayleigh–Taylor instability of multi-fluid layers in cylindrical geometry

2017 ◽  
Vol 26 (12) ◽  
pp. 125202
Author(s):  
Hong-Yu Guo ◽  
Li-Feng Wang ◽  
Wen-Hua Ye ◽  
Jun-Feng Wu ◽  
Wei-Yan Zhang
Keyword(s):  
Cylindrical Geometry ◽  
Taylor Instability ◽  
Fluid Layers ◽  
Rayleigh Taylor Instability

Instabilities

2018 ◽  
Author(s):  
S. G. Rajeev
Keyword(s):  
Linear Model ◽  
Nonlinear Model ◽  
Linear Equations ◽  
Taylor Instability ◽  
Navier Stokes ◽  
Fluid Layers ◽  
Fluid Instabilities ◽  
Rayleigh Taylor Instability ◽  
The Many ◽  
Two Fluid

The most well-known of the many instabilities of a fluid is the Rayleigh–Taylor instability. A denser fluid sitting on top of a lighter fluid is in unstable equilibrium, much like a pendulum standing on its head. Kapitza showed that rapidly oscillating the point of support of a pendulum can counteract this instability. The Rayleigh–Taylor instability can also be inhibited by shaking the two fluid layers rapidly. The Orr–Sommerfeld equations are a linear model of instabilities of a steady solution of Navier-Stokes. The Orr–Sommerfeld operator is not normal (does not commute with its adjoint). This means that there are transients (solutions that grow large before dying out) even if the linear equations predict stability. A simple nonlinear model with transients due to Trefethen et al. is studied to gain intuition into fluid instabilities.

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