When

Start: 03/07/2012 - 1:15pm

End : 03/07/2012 - 2:15pm

End : 03/07/2012 - 2:15pm

Category

Applied Math Seminar

Speaker

Aliki Mavromoustaki (UCLA)

Abstract

The studies of gravity-‐driven fluid flows, laden with particles, are pertinent to a number of industrial applications (pharmaceuticals, coating flows, food industry) and geophysical settings (mud and debris flows). Such flows exhibit interesting and complex dynamics such as particle sedimentation and resuspension, which can occur over different time scales; the latter may be dependent on particle properties such as size and density. It has been experimentally shown that, in the presence of contact lines, gravity-‐driven flow laden with negatively buoyant particles, exhibit three distinct regimes depending on the particle concentration and plane angle of inclination: particles either set out of the flow, aggregate at the contact line forming a particle-‐rich ridge or remain well mixed. Starting from the Stokes equations and a particle transport equation, we derive a theoretical model by employing the lubrication approximation, wherein we take into account particle sedimentation and shear-‐induced migration phenomena. The governing system of equations is solved numerically and comparisons with experimental observations are presented.

Where

Roberts North 103, Claremont McKenna College