Interaction of Three Settling Balls in an Incompressible Viscous
Newtonian Fluid
Three balls sediment in a narrow vertical channel with rectangular
cross section containing an incompressible viscous Newtonian fluid.
We have obtained drafting, kissing, and tumbling many times, then a
stable configuration.
- the dimension of computational domain = (0,1.5)x(0,0.25)x(0,6) initially,
then it moves vertically with the center of the lower one
- The time interval: [0, 15]
- the diameters = 0.2
- the density of balls = 1.02
- the density of fluid = 1
- the viscosity = 0.01
- the mesh size for the velocity field = 1/96
- the mesh size for the pressure = 1/48
- the time step=0.001
- for 110 < t < 120, the averaged mean speed is 0.759.
- for 110 < t < 120, the averaged particle Reynolds number is about 15.18.