Quasi-Steady Endless Vortices with Chaotic Streamlines

2013 ◽  
pp. 111-128 ◽  
Author(s):  
Oscar Velasco Fuentes
Keyword(s):  
Chaotic Streamlines

Cellular flow in a partially filled rotating drum: regular and chaotic advection

2017 ◽  
Vol 825 ◽  
pp. 631-650 ◽  
Author(s):  
Francesco Romanò ◽  
Arash Hajisharifi ◽  
Hendrik C. Kuhlmann
Keyword(s):  
Three Dimensional ◽  
Reynolds Numbers ◽  
Chaotic Advection ◽  
Two Dimensional ◽  
Rotating Drum ◽  
Three Dimensional Flow ◽  
Dimensional Flow ◽  
Heteroclinic Connection ◽  
Two Dimensional Flow ◽  
Chaotic Streamlines

The topology of the incompressible steady three-dimensional flow in a partially filled cylindrical rotating drum, infinitely extended along its axis, is investigated numerically for a ratio of pool depth to radius of 0.2. In the limit of vanishing Froude and capillary numbers, the liquid–gas interface remains flat and the two-dimensional flow becomes unstable to steady three-dimensional convection cells. The Lagrangian transport in the cellular flow is organised by periodic spiralling-in and spiralling-out saddle foci, and by saddle limit cycles. Chaotic advection is caused by a breakup of a degenerate heteroclinic connection between the two saddle foci when the flow becomes three-dimensional. On increasing the Reynolds number, chaotic streamlines invade the cells from the cell boundary and from the interior along the broken heteroclinic connection. This trend is made evident by computing the Kolmogorov–Arnold–Moser tori for five supercritical Reynolds numbers.

Regular and chaotic streamlines of two vortex rings

2001 ◽  
Vol 29 (5) ◽  
pp. 295-311 ◽  
Author(s):  
Emily S C Ching ◽  
Yongnian Huang ◽  
Norbert Schorghofer
Keyword(s):  
Vortex Rings ◽  
Chaotic Streamlines

Chaotic streamlines in pre-turbulent states

Nature ◽  
1989 ◽  
Vol 337 (6203) ◽  
pp. 133-137 ◽  
Author(s):  
V. V. Beloshapkin ◽  
A. A. Chernikov ◽  
M. Ya. Natenzon ◽  
B. A. Petrovichev ◽  
R. Z. Sagdeev ◽  
...  
Keyword(s):  
Chaotic Streamlines

Chaotic streamlines inside drops immersed in steady Stokes flows

1991 ◽  
Vol 232 (-1) ◽  
pp. 629 ◽  
Author(s):  
H. A. Stone ◽  
Ali Nadim ◽  
Steven H. Strogatz
Keyword(s):  
Stokes Flows ◽  
Chaotic Streamlines

Chaotic streamlines in the ABC flows

1986 ◽  
Vol 167 (-1) ◽  
pp. 353 ◽  
Author(s):  
T. Dombre ◽  
U. Frisch ◽  
J. M. Greene ◽  
M. Hénon ◽  
A. Mehr ◽  
...  
Keyword(s):  
Chaotic Streamlines
Sign in / Sign up

Export Citation Format

Share Document