Session DS: Invited Session: Particle Laden Viscous Fluids and the Gulf of Mexico Oilspill
3:30 PM–4:05 PM, Sunday, November 21, 2010
Long Beach Convention Center Room: Grand Ballroom A
Chair: Anette Peko Hosoi, Massachusetts Institute of Technology
Abstract ID: BAPS.2010.DFD.DS.1
Abstract: DS.00001 : Particle Laden Viscous Fluids and the Gulf of Mexico Oilspill
3:30 PM–4:05 PM
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Author:
Andrea Bertozzi
(UCLA)
The dynamics of particulates (e.g. sand) in viscous fluids is a complex process involving hindered settling dynamics and dynamics of the fluid such as shear. There is a renewed interest in understanding the dynamics of viscous fluids interacting with particulates due to the large volume of crude oil washing up on beaches in the Gulf of Mexico. I will address both modeling and mathematical challenges associated with this problem. Settling of particles in particle-oil mixtures on an incline can be quantitatively analyzed by a bifurcation that occurs between regimes of particle settling downstream of the flow and clear fluid separating out from the flow. An equilibrium theory compares shear-induced migration due to the bulk flow properties with hindered settling due to gravity, and matches well with laboratory experiments. I discuss current work on dynamic models for such particle-fluid mixtures and possible future work directed at understanding the formation of different classes of oil deposits on beaches in the Gulf.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2010.DFD.DS.1