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When

Start: 03/27/2017 - 4:15pm

End : 03/27/2017 - 5:15pm

End : 03/27/2017 - 5:15pm

Category

Applied Math Seminar

Speaker

David Arnold (UCLA)

Abstract

Spiral particle separators are devices used in the mining and

mineral processing industries to separate ores and clean coal. Their

design process remains fairly experimental, and the work I will speak

about aims to help improve mathematical modelling of the flow in these

devices, and other flow in helical geometries. The cross-sectional flow

is known to be an important factor for particle separation

characteristics, but measuring this is very difficult experimentally,

due to the small fluid depths associated with spiral separators. Using a

non-orthogonal coordinate system we derive the Navier-Stokes equations

and take the thin-film limit to obtain a simplified system of equations.

In this talk I will discuss the clear-fluid problem (with no particles

in the flow), for channels with arbitrary centreline pitch and radius,

and arbitrary (but shallow) cross-sectional shape. Remarkably, for

channels with rectangular cross-section, we are able to solve the

governing equations analytically. Finally, I will discuss modelling of

particle-laden flows in helical channels.

Where

Emmy Noether Rm
Millikan 1021
Pomona College