Séminaire ACSIOM :
Le 03 novembre 2020 à 13:15 - salle 330
Présentée par Höfer Richard -
Reporté à une date ultérieure Effective equations for fluids with many small particles
Particles immersed in fluids are ubiquitous in nature and technology.
Depending on the model, various effective equations may occur in the
limit of many small particles.
One of the most well-studied models are the incompressible Stokes
equations with no slip bounday conditions.
In this case, the individual drag forces of the particles give rise to a
collective force leading to the Brinkman equations or Darcy's law.
However, the same collective effect can also be observed for
non-creeping flows such as the incompressible and even the compressible
Navier-Stokes equations.
In this talk we will discuss in which cases the local fluid flow around
each particle can be well approximated by the incompressible Stokes
equations
such that the Stokes-Brinkman force prevails.
The talk is based on joint work with Arianna Giunti, Jonas Jansen,
Karina Kowalczyk, Sebastian Schwarzacher and Juan J.L. Velázquez.