Particles settling under gravity in a viscous fluid

• Stokes equations and their symmetries (in Polish)

• Single point-particle in an unbounded fluid

  • derivation of the Oseen tensor

• Single point-particle close to a planar fluid boundary (solid wall or free surface)

• fluid pressure
• fluid velocity

• Two particles in an unbounded fluid

          Points

• motion of the particles (in Polish)
• fluid streamlines (in Polish)

Spheres

• Rotne-Prager mobility matrix

• Periodic orbits of four point-particles in an unbounded fluid

• motion of the particles
• fluid streamlines (in Polish)