Abstract:
In this talk we investigate the pattern formation of a rotating suspension of non-Brownian settling particles in incompressible Newtonian viscous fluids by direct numerical simulation. These phenomena are modeled by the Navier–Stokes equations coupled to the Euler–Newton equations describing rigid–solid motions. The numerical methodology relies on the combination of a finite element approximation with operator-splitting and Lagrange multiplier based fictitious domain methods allowing the flow calculations to take place in a fixed rectangular parallelepiped. We found that the particles attract and expel each other all the time when rotating in a horizontal cylinder and the formation of clusters depends on the rotating speed and the number of particles.
This seminar is easily accessible to persons with disabilities. For more information or for assistance, please contact the Mathematics Department at 743-3500.