Nonlinear effects of ionization on surface waves on a plasma–metal interface

1998 ◽  
Vol 84 (8) ◽  
pp. 4176-4179 ◽  
Author(s):  
K. N. Ostrikov ◽  
M. Y. Yu ◽  
N. A. Azarenkov
2004 ◽  
Vol 70 (1) ◽  
pp. 33-37 ◽  
Author(s):  
Yu A Akimov ◽  
N A Azarenko ◽  
V P Olefir

1972 ◽  
Vol 50 (19) ◽  
pp. 2235-2243
Author(s):  
F. L. Curzon ◽  
G. N. Ionides

The results presented in this paper show that fluid surface waves, resonantly driven by spatially nonuniform, time periodic electric fields, exhibit nonlinear effects when the wave amplitude ξ exceeds a significant fraction of the distance D between the driver electrode and the fluid surface. The phase difference between the surface wave and the driving force, as well as the dependence of wave amplitude on the electric stress are computed and compared with experimental results. For ξ/D exceeding ~0.7 (dependent on electrode geometry) the surface waves excited are unstable (also confirmed experimentally). The experiments are performed on surface waves on mercury contained in a cylindrical microwave resonator. Shifts in the microwave resonant frequency (caused by the surface waves) monitor the displacement of the fluid surface.


2008 ◽  
Vol 34 (8) ◽  
pp. 698-707
Author(s):  
S. A. Dvinin ◽  
A. G. Vologirov ◽  
V. V. Mikheev ◽  
V. S. Sviridkina

The fully developed laminar flow of air over water confined between two infinite parallel plates was used to study nonlinear effects in the generation of surface waves. A linear stability analysis of the basic flow was made and the conditions at which small amplitude surface waves first begin to grow were determined. Then, following Stewartson & Stuart (1971), the nonlinear stability of the flow was examined and the usual parabolic equation with cubic nonlinearity obtained for the amplitude of the disturbances. The calculation of the linear stability characteristics and the coefficients appearing in the amplitude equation was a lengthy computational task, with most interest centred on the coefficient of the nonlinear terms in the amplitude equation. In two profiles, used as crude models of a boundary layer flow of air over water, the calculations indicated that, over a range of parameters, the non-linear effects would reduce the growth rate of the surface waves and hence lead to equilibrium amplitude waves.


1972 ◽  
Vol 33 (C6) ◽  
pp. C6-263-C6-265 ◽  
Author(s):  
A. ALIPPI ◽  
A. PALMA ◽  
L. PALMIERI ◽  
G. SOCINO

2003 ◽  
Vol 29 (12) ◽  
pp. 1041-1048 ◽  
Author(s):  
N. A. Azarenkov ◽  
Yu. A. Akimov ◽  
V. P. Olefir

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