Numerical Results

Particle / Vortex Plot

The background is a plot of the vorticity. It is the Z component of the curl of the velocity field. Red stands for positive value (counter-clockwise rotation) and blue stands for a negative value (clockwise rotation). The particles are not plotted in accordance with their actual diameter, but rather a constant of 0.3 for better visual purposes.

From the results below, we can observe maximum coupling between the particles and the vortices at stokes = 1. We can observe particles being trapped in the vortices at  stokes = 0 condition and ballistic motion of particles at stokes = 100. The results for stokes = 0.2 and stokes = 5 tend to be more intermediate and less apparent.

Stokes\Time	t = 0.5(s)	t = 20(s)	t = 40(s)	t = 60(s)	t = 80(s)
Stk = 0
Stk = 0.2
Stk = 1
Stk = 5
Stk = 100

Video of Particle Motion for Stokes = 1 Particles

The video below shows the particle motion of the stokes = 1 particles. Maximum coupling between the fluid vortices and the particles can be observed.

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