scholarly journals Bell-Plesset effects in Rayleigh-Taylor instability of finite-thickness spherical and cylindrical shells

2015 ◽  
Vol 22 (12) ◽  
pp. 122711 ◽  
Author(s):  
A. L. Velikovich ◽  
P. F. Schmit
Keyword(s):  
Cylindrical Shells ◽  
Finite Thickness ◽  
Taylor Instability ◽  
Rayleigh Taylor Instability

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

Nonlinear Rayleigh–Taylor Instability of a Cylindrical Interface in Explosion Flows

2014 ◽  
Vol 136 (6) ◽  
Author(s):  
Subramanian Annamalai ◽  
Manoj K. Parmar ◽  
Yue Ling ◽  
S. Balachandar
Keyword(s):  
Blast Wave ◽  
Contact Surface ◽  
Finite Thickness ◽  
Single Mode ◽  
Taylor Instability ◽  
Flow Models ◽  
Nonlinear Growth ◽  
Cylindrical Interface ◽  
Rayleigh Taylor Instability ◽  
Secondary Instabilities

The nonlinear growth of instabilities of an outward propagating, but decelerating, cylindrical interface separated by fluids of different densities is investigated. Single mode perturbations are introduced around the contact-surface, and their evolution is studied by conducting inviscid 2D and 3D numerical simulations. In the past, a significant amount of work has been carried out to model the development of the perturbations in a planar context where the contact surface is stationary or in a spherical context where a point-source blast wave is initiated at the origin. However, for the finite-source cylindrical blast-wave problem under consideration, there is a need for a framework which includes additional complexities such as compressibility, transition from linear to nonlinear stages of instability, finite thickness of the contact interface (CI), and time-dependent deceleration of the contact surface. Several theoretical potential flow models are presented. The model which is able to capture the above mentioned effects (causing deviation from the classical Rayleigh–Taylor Instability (RTI)) is identified as it compares reasonably well with the DNS results. Only for higher wavenumbers, the early development of secondary instabilities (Kelvin–Helmholtz) complicates the model prediction, especially in the estimation of the high-density fluid moving into low-density ambient.

scholarly journals Rayleigh-Taylor Instability of a Compressible Plasma with Finite Larmor Radius Effects

1993 ◽  
Vol 48 (8-9) ◽  
pp. 844-850
Author(s):  
P. D. Ariel
Keyword(s):  
Magnetic Field ◽  
Variational Principle ◽  
Plasma Layer ◽  
Finite Thickness ◽  
Taylor Instability ◽  
Larmor Radius ◽  
Horizontal Magnetic Field ◽  
Finite Larmor Radius ◽  
Compressible Plasma ◽  
Rayleigh Taylor Instability

Abstract The Rayleigh-Taylor instability of a compressible plasma in the presence of a horizontal magnetic field is investigated, taking into account the effects of finite Larmor radius. Only transverse perturbations are considered. The problem is shown to be characterized by a variational principle. Using it, the dispersion relation is obtained for a plasma layer of finite thickness and having an exponentially varying density. It is found that the finite Larmor radius effects can thoroughly stabilize unstable configurations. For configurations which are not completely stabilized, the compressibility stabilizes some of the disturbances which are unstable for an incompressible plasma.

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