Some classes of two-dimensional vortex flows of an ideal fluid

1989 ◽  
Vol 30 (1) ◽  
pp. 105-112 ◽  
Author(s):  
O. V. Kaptsov
Keyword(s):  
Ideal Fluid ◽  
Vortex Flows ◽  
Two Dimensional

Generation of two-dimensional dust vortex flows in a direct current discharge plasma

2009 ◽  
Vol 16 (5) ◽  
pp. 053707 ◽  
Author(s):  
Giichiro Uchida ◽  
Satoru Iizuka ◽  
Tetsuo Kamimura ◽  
Noriyoshi Sato
Keyword(s):  
Direct Current ◽  
Discharge Plasma ◽  
Vortex Flows ◽  
Two Dimensional ◽  
Current Discharge ◽  
Direct Current Discharge

Viscous selection of an elliptical dipole

2010 ◽  
Vol 658 ◽  
pp. 492-508 ◽  
Author(s):  
ZIV KIZNER ◽  
RUVIM KHVOLES ◽  
DAVID A. KESSLER
Keyword(s):  
Aspect Ratio ◽  
Asymptotic Analysis ◽  
Ideal Fluid ◽  
Time Scale ◽  
Initial Conditions ◽  
High Accuracy ◽  
Asymptotic State ◽  
Two Dimensional ◽  
Slow Time ◽  
Selection Of

A theory of viscous evolution and selection of symmetric two-dimensional dipoles is suggested, based on a combination of numerical simulations and an asymptotic analysis, where the slow time scale associated with the vorticity diffusion due to viscosity is incorporated. It is shown that viscosity first brings a dipole to an intermediate asymptotic state, which is independent of the initial conditions, and then slowly takes the dipole away from this state. We demonstrate that, among the variety of possible ideal-fluid dipole solutions, viscosity going to zero selects a unique solution, which is described to high accuracy by the elliptical dipole solution with a separatrix aspect ratio of 1.037.

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