Multiple cutoff wave numbers of the ablative Rayleigh-Taylor instability

1994 ◽  
Vol 50 (5) ◽  
pp. 3968-3972 ◽  
Author(s):  
R. Betti ◽  
V. Goncharov ◽  
R. L. McCrory ◽  
E. Turano ◽  
C. P. Verdon
Keyword(s):  
Taylor Instability ◽  
Wave Numbers ◽  
Rayleigh Taylor Instability

scholarly journals Influence of ablation-to-critical surface distance upon Rayleigh–Taylor instability

1991 ◽  
Vol 9 (2) ◽  
pp. 273-281 ◽  
Author(s):  
J. Sanz ◽  
A. Estevez
Keyword(s):  
Growth Rate ◽  
Taylor Instability ◽  
Slab Thickness ◽  
Critical Surface ◽  
Slab Model ◽  
Surface Distance ◽  
Wave Numbers ◽  
Instability Growth ◽  
Rayleigh Taylor Instability ◽  
Ablation Front

The Rayleigh—Taylor instability is studied by means of a slab model and when slab thickness D is comparable to the ablation-to-critical surface distance. Under these conditions the perturbations originating at the ablation front reach the critical surface, and in order to determine the instability growth rate, we must impose boundary conditions at the corona. Stabilization occurs for perturbation wave numbers such that kD ˜ 10.

Rayleigh-Taylor Instability of Newtonian and Oldroydian Viscoelastic Fluids in Porous Medium

1994 ◽  
Vol 49 (10) ◽  
pp. 927-930
Author(s):  
R. C. Sharma ◽  
V. K. Bhardwaj
Keyword(s):  
Porous Medium ◽  
Interfacial Tension ◽  
Viscoelastic Fluids ◽  
Taylor Instability ◽  
Horizontal Boundary ◽  
Wave Numbers ◽  
Unstable Configuration ◽  
Rayleigh Taylor Instability

AbstractThe Rayleigh-Taylor instability of viscous and viscoelastic (Oldroydian) fluids, separately, has been considered in porous medium. Two uniform fluids separated by a horizontal boundary and the case of exponentially varying density have been considered in both viscous and viscoelastic fluids. The effective interfacial tension succeeds in stabilizing perturbations of certain wave numbers (small wavelength perturbations) which were unstable in the absence of effective interfacial tension, for unstable configuration/stratification.

scholarly journals Ablation effects in weakly nonlinear stage of the ablative Rayleigh–Taylor instability

1996 ◽  
Vol 14 (1) ◽  
pp. 45-54
Author(s):  
Susumu Hasegawa ◽  
Katsunobu Nishihara
Keyword(s):  
Perturbation Theory ◽  
Mode Coupling ◽  
Wave Amplitude ◽  
Taylor Instability ◽  
Weakly Nonlinear ◽  
Effective Gravity ◽  
Nonlinear Stage ◽  
Excited Wave ◽  
Wave Numbers ◽  
Rayleigh Taylor Instability

Weakly nonlinear stage of the ablative Rayleigh-Taylor instability has been studied by the perturbation theory. Mode coupling of linear growing waves with wave numbers kA and kB drives new excited waves with wave numbers k0 (= kA ± kB, 2kA, 2kB). We have investigated time evolution of the excited waves and found that the ablation effect plays an important role even in the nonlinear stage to reduce amplitude of the excited waves. Differences between an ablation surface and a classical contact surface have been discussed. Dependence of the excited wave amplitude on the wavenumber k0, the ablation velocity va, and the effective gravity g is also investigated.

Rayleigh-Taylor Instability of a Partially Ionized Plasma in a Porous Medium in Presence of a Variable Magnetic Field

1992 ◽  
Vol 47 (12) ◽  
pp. 1227-1231
Author(s):  
R. C. Sharma ◽  
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Variable Magnetic Field ◽  
Taylor Instability ◽  
Wave Number ◽  
Medium Permeability ◽  
Wave Numbers ◽  
Rayleigh Taylor Instability ◽  
Partially Ionized ◽  
The Magnetic Field

Abstract The Rayleigh-Taylor instability of a partially ionized plasma in a porous medium is considered in the presence of a variable magnetic field perpendicular to gravity. The cases of two uniform partially ionized plasmas separated by a horizontal boundary and exponentially varying density, viscosity, magnetic field and neutral particle number density are considered. In each case, the magnetic field succeeds in stabilizing waves in a certain wave-number range which were unstable in the absence of the magnetic field, whereas the system is found to be stable for potentially stable configuration/stable stratifications. The growth rates both increase (for certain wave numbers) and decrease (for different wave numbers) with the increase in kinematic viscosity, medium permeability and collisional frequency. The medium permeability and collisions do not have any qualitative effect on the nature of stability or instability.

Experimental Rayleigh-Taylor Instability in a Circular Tube

1985 ◽  
Vol 107 (4) ◽  
pp. 460-466 ◽  
Author(s):  
J. W. Jacobs ◽  
A. Bunster ◽  
I. Catton ◽  
M. S. Plesset
Keyword(s):  
Linear Theory ◽  
Circular Tube ◽  
Water System ◽  
Taylor Instability ◽  
Pressure Differential ◽  
Gravitational Acceleration ◽  
Inside Diameter ◽  
Wave Numbers ◽  
Rayleigh Taylor Instability

The Rayleigh-Taylor instability of an air-water system has been investigated experimentally. The instability was produced by accelerating a slug of water down a vertical circular tube of 6.25 in. inside diameter employing a pressure differential. Accelerations from 3 to 25 times gravitational acceleration with fluid depths from 5 to 20 centimeters were studied. The disturbances first observed were purely axisymmetric with wave numbers corresponding closely to the fastest growing values given by linear theory. Later stages of planform development were characterized by a series of transitions which cannot be predicted by linear theory. These transitions were correlated with disturbance height.

scholarly journals Nonlinear excitation of the ablative Rayleigh-Taylor instability for all wave numbers

2018 ◽  
Vol 97 (1) ◽  
Author(s):  
H. Zhang ◽  
R. Betti ◽  
V. Gopalaswamy ◽  
R. Yan ◽  
H. Aluie
Keyword(s):  
Taylor Instability ◽  
Nonlinear Excitation ◽  
Wave Numbers ◽  
Rayleigh Taylor Instability
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