Calculation of particle trajectories in a swirling flow


Formulation of the problem is here

Steady axisymmetric flow is calculated at g=1.75, Re=1850.

This flow is stable (see stability diagram).

Trajectories of three separate particles whose initial coordinates are:
(0.001, 0.36), (0.1, 0.5), and (0.4, 0.5)
were calculated for duration t=10,000 and for the following parameters:

Fbuoyancy = Fcentrifugal =Fcoriolis = 0

Fbuoyancy = 0.003, Fcentrifugal = 0, Fcoriolis = 0

Fbuoyancy = 0.01, Fcentrifugal = 0, Fcoriolis = 0

Fbuoyancy = 0, Fcentrifugal = 0.0001, Fcoriolis = 0

Fbuoyancy = 0, Fcentrifugal = 0.0003, Fcoriolis = 0

Fbuoyancy = 0, Fcentrifugal = 0.003, Fcoriolis = 0

Fbuoyancy = 0, Fcentrifugal = 0.01, Fcoriolis = 0

Fbuoyancy = 0.001, Fcentrifugal = 0.0001, Fcoriolis = 0

Fbuoyancy = 0.003, Fcentrifugal = 0.0003, Fcoriolis = 0

Fbuoyancy = 0.006, Fcentrifugal = 0.0006, Fcoriolis = 0

Fbuoyancy = 0, Fcentrifugal = 0.0001, Fcoriolis = 0.0001

Fbuoyancy = 0, Fcentrifugal = 0.001, Fcoriolis = 0.001

Fbuoyancy = 0, Fcentrifugal = 0.003, Fcoriolis = 0.003

Fbuoyancy = 0, Fcentrifugal = 0.006, Fcoriolis = 0.006

Fbuoyancy = 0.001, Fcentrifugal = 0.0001, Fcoriolis = 0.0001

Fbuoyancy = 0.003, Fcentrifugal = 0.0003, Fcoriolis = 0.0003

Fbuoyancy = 0.006, Fcentrifugal = 0.0006, Fcoriolis = 0.0006

Fbuoyancy = 0.01, Fcentrifugal = 0.001, Fcoriolis = 0.001


Trajectories of family of particles:

Fbuoyancy = 0.001, Fcentrifugal = 0.0001, Fcoriolis = 0.0001
Particles ejected at the coordinates 0.01 < r < 0.1 with Dr = 0.001 and 0.35 < z < 0.4 with Dz = 0.01.
Time duration t = 300

Fbuoyancy = 0.001, Fcentrifugal = 0.0001, Fcoriolis = 0.0001
Particles ejected at the coordinates 0.01 < r < 0.1 with Dr = 0.001 and 0.35 < z < 0.47 with Dz = 0.01.
Time duration t = 300

Fbuoyancy = 0.001, Fcentrifugal = 0.0001, Fcoriolis = 0.0001
Particles ejected at the coordinates 0.01 < r < 0.1 with Dr = 0.001 and 0.35 < z < 0.47 with Dz = 0.01.
Time duration t = 10,000

Fbuoyancy = 0.001, Fcentrifugal = 0.0001, Fcoriolis = 0.0001
Particles ejected at the coordinates 0.01 < r < 0.2 with Dr = 0.001 and z =0.36.
Time duration t = 10,000

Fbuoyancy = 0.01, Fcentrifugal = 0.001, Fcoriolis = 0.001
Particles ejected at the coordinates 0.01 < r < 0.1 with Dr = 0.001 and z =0.5.
Time duration t = 10,000

Fbuoyancy = 0.01, Fcentrifugal = 0.001, Fcoriolis = 0.001
Particles ejected at the coordinates 0.2 < r < 0.3 with Dr = 0.001 and z =0.5.
Time duration t = 10,000

Fbuoyancy = 0.01, Fcentrifugal = 0.001, Fcoriolis = 0.001
Particles ejected at the coordinates 0.2 < r < 0.3 with Dr = 0.001 and z =0.5.
Time duration t = 60,000

Fbuoyancy = 0.003, Fcentrifugal = 0.0003, Fcoriolis = 0.0003
Particles ejected at the coordinates 0.01 < r < 0.2 with Dr = 0.001 and z =0.5.
Time duration t = 10,000

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