WOLFRAM|DEMONSTRATIONS PROJECT

Compressible Helical Beltrami Flow

​
t
29.5
view
3D
Poincaré
parameters
ϵ
0.02
l
1.1
c
0
1.
k
1.
number of initial conditions
n
10
seed
Consider the case of a compressible fluid undergoing helical (Beltrami) flow with nonuniform vorticity and velocity. This is a generalization of the ABC (Arnold–Beltrami–Childress) flow for the compressible case [1] in which chaotic dynamics appear [2] that involve a "Q-flow" (flows with quasisymmetry).