Particle Laden Flow from THeory to Experiment
Prof Andrea L. Bertozzi
Director of Applied Mathematics, University of California Los Angeles
This talk showcases recent advances in modeling particle laden flow in a thin file geometry. The work began as a collaboration with Hosoi's group at MIT and led to a series of new work at UCLA in the past decade. We show how shock dynamics can describe particle transport and that this particular geormetry lends itself to a dominant balance betwee shear-induced migration of particles and hinder settling. The same theory can be used to explain the mechanism for separation of species in spiral separators used in the mining industry. The general problem area lends itself to interestng mathematical problems as well as modeling challenges in complex fluids.