Electrohydrodynamic Rayleigh - Taylor Instability in a Poorly Conducting Fluid Layer Bounded Above by a Nanostructured Porous Layer

2009 ◽  
Vol 36 (2) ◽  
pp. 166-179
Author(s):  
N. Rudraiah ◽  
I. S. Shivakumara ◽  
Krishna B. Chavaraddi
Keyword(s):  
Porous Layer ◽  
Fluid Layer ◽  
Taylor Instability ◽  
Conducting Fluid ◽  
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.

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