Nonlinear Theory of Inviscid Taylor Instability Near the Cutoff Wavenumber

1969 ◽  
Vol 12 (7) ◽  
pp. 1333 ◽  
Author(s):  
Robert L. Kiang
Keyword(s):  
Nonlinear Theory ◽  
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.

Nonlinear Theory of the Ablative Rayleigh-Taylor Instability

2002 ◽  
Vol 89 (19) ◽  
Author(s):  
J. Sanz ◽  
J. Ramírez ◽  
R. Ramis ◽  
R. Betti ◽  
R. P. J. Town
Keyword(s):  
Nonlinear Theory ◽  
Taylor Instability ◽  
Rayleigh Taylor Instability

Nonlinear theory of the ablative Rayleigh–Taylor instability

2004 ◽  
Vol 46 (12B) ◽  
pp. B367-B380 ◽  
Author(s):  
J Sanz ◽  
R Betti ◽  
R Ramis ◽  
J Ramírez
Keyword(s):  
Nonlinear Theory ◽  
Taylor Instability ◽  
Rayleigh Taylor Instability
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