scholarly journals Rayleigh-Taylor instability under a shear stress free top boundary condition and its relevance to removal of mantle lithosphere from beneath the Sierra Nevada

Tectonics ◽  
2008 ◽  
Vol 27 (6) ◽  
pp. n/a-n/a ◽  
Author(s):  
Christopher Harig ◽  
Peter Molnar ◽  
Gregory A. Houseman
Keyword(s):  
Boundary Condition ◽  
Shear Stress ◽  
Sierra Nevada ◽  
Taylor Instability ◽  
Mantle Lithosphere ◽  
Rayleigh Taylor Instability

On the steady solutions of the problem of Rayleigh–Taylor instability

1986 ◽  
Vol 170 ◽  
pp. 339-353 ◽  
Author(s):  
M. J. Tan
Keyword(s):  
Boundary Condition ◽  
Bifurcation Theory ◽  
Three Dimensional ◽  
Taylor Instability ◽  
Interface Boundary ◽  
Rigid Boundary ◽  
Approximate Form ◽  
Rayleigh Taylor Instability ◽  
Steady Solutions ◽  
Dimensional Domain

The problem of Rayleigh–Taylor instability is reexamined within the framework of incompressible, inviscid and irrotational fluid flow in a bounded three-dimensional domain. A relation proposed by Pimbley (1976) between the slope and the amplitude of the interface at the rigid boundary is adopted as the interface boundary condition. Steady solutions are derived in approximate form by using bifurcation theory. It is shown that under the conditions given some of the steady solutions exhibit the features of the well-known bubbles-and-spikes configuration and can be stable to infinitesimal disturbances.

The linear stability of mixed convection in a vertical channel flow

1996 ◽  
Vol 325 ◽  
pp. 29-51 ◽  
Author(s):  
Yen-Cho Chen ◽  
J. N. Chung
Keyword(s):  
Boundary Condition ◽  
Heat Flux ◽  
Mixed Convection ◽  
Reynolds Numbers ◽  
Taylor Instability ◽  
Temperature Perturbation ◽  
Zero Temperature ◽  
Opposed Flow ◽  
Rayleigh Taylor Instability ◽  
Flux Perturbation

In this study, the linear stability of mixed-convection flow in a vertical channel is investigated for both buoyancy-assisted and -opposed conditions. The disturbance momentum and energy equations were solved by the Galerkin method. In addition to the case with a zero heat flux perturbation boundary condition, we also examined the zero temperature perturbation boundary condition. In general, the mixed-convection flow is strongly destabilized by the heat transfer and therefore the fully developed heated flow is very unstable and very difficult to maintain in nature. For buoyancy-assisted flow, the two-dimensional disturbances dominate, while for buoyancy-opposed flow, the Rayleigh–Taylor instability prevails for zero heat flux perturbation boundary condition, and for the zero temperature perturbation on the boundaries the two-dimensional disturbances dominate except at lower Reynolds numbers where the Rayleigh–Taylor instability dominates again. The instability characteristics of buoyancy-assisted flow are found to be strongly dependent on the Prandtl number whereas the Prandtl number is a weak parameter for buoyancy-opposed flow. Also the least-stable disturbances are nearly one-dimensional for liquids and heavy oils at high Reynolds numbers in buoyancy-assisted flows.From an energy budget analysis, we found that the thermal–buoyant instability is the dominant type for buoyancy-assisted flow. In buoyancy-opposed flow, under the zero temperature perturbation boundary condition the Rayleigh–Taylor instability dominates for low-Reynolds-number flow and then the thermal–shear instability takes over for the higher Reynolds numbers whereas the Rayleigh–Taylor instability dominates solely for the zero heat flux perturbation boundary condition. It is found that the instability characteristics for some cases of channel flow in this study are significantly different from previous results for heated annulus and pipe flows. Based on the distinctly different wave speed characteristics and disturbance amplification rates, we offer some suggestions regarding the totally different laminar–turbulent transition patterns for buoyancy-assisted and -opposed flows.

Numerical simulation of Rayleigh-Taylor Instability with periodic boundary condition using MPS method

2018 ◽  
Vol 109 ◽  
pp. 130-144 ◽  
Author(s):  
Kailun Guo ◽  
Ronghua Chen ◽  
Yonglin Li ◽  
Wenxi Tian ◽  
Guanghui Su ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Boundary Condition ◽  
Periodic Boundary Condition ◽  
Periodic Boundary ◽  
Taylor Instability ◽  
Mps Method ◽  
Rayleigh Taylor Instability

Rayleigh–Taylor Instability in Electron–Ion Radiative Dense Plasmas

2021 ◽  
Vol 49 (3) ◽  
pp. 1072-1078
Author(s):  
N. Maryam ◽  
Ch. Rozina ◽  
S. Ali
Keyword(s):  
Taylor Instability ◽  
Dense Plasmas ◽  
Rayleigh Taylor Instability
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