scholarly journals Linear theory of the Rayleigh–Taylor instability at a discontinuous surface of a relativistic flow

2017 ◽  
Vol 472 (2) ◽  
pp. 1421-1431 ◽  
Author(s):  
Jin Matsumoto ◽  
Miguel A. Aloy ◽  
Manel Perucho
Keyword(s):  
Linear Theory ◽  
Taylor Instability ◽  
Discontinuous Surface ◽  
Relativistic Flow ◽  
Rayleigh Taylor Instability

Nonlinear Rayleigh–Taylor instability in hydromagnetics

1976 ◽  
Vol 15 (2) ◽  
pp. 239-244 ◽  
Author(s):  
G. L. Kalra ◽  
S. N. Kathuria
Keyword(s):  
Magnetic Field ◽  
Power Generation ◽  
Growth Rate ◽  
Linear Theory ◽  
Nonlinear Theory ◽  
Taylor Instability ◽  
Rayleigh Taylor Instability ◽  
Image Position

Nonlinear theory of Rayleigh—Taylor instability in plasma supported by a vacuum magnetic field shows that the growth rate of the mode, unstable in the linear theory, increases if the wavelength of perturbation π lies betweenand 2πcrit. This might have an important bearing on the proposed thermonuclear MHD power generation experiments.

Rayleigh–Taylor instability of a plasma in a magnetic field: nonlinear theory

1982 ◽  
Vol 27 (1) ◽  
pp. 129-134 ◽  
Author(s):  
Bhimsen K. Shivamoggi
Keyword(s):  
Magnetic Field ◽  
Nonlinear Analysis ◽  
Linear Theory ◽  
Nonlinear Theory ◽  
Multiple Scales ◽  
Method Of Multiple Scales ◽  
Taylor Instability ◽  
Rayleigh Taylor Instability ◽  
Linear Cut

Kaira & Kathuria used the method of multiple scales to develop nonlinear analysis of Rayleigh–Taylor instability of a plasma in a magnetic field. Their calculations remain valid only for wavenumbers k away from the linear cut-off value kc, and break down for wavenumbers near kc. The purpose of this paper is to treat the latter case. The solution uses the method of strained parameters. The results show the instability persists even at k = kc, despite the cut-off predicted by the linear theory.

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.

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