Thin-film flow in helical channels

Start: 03/27/2017 - 4:15pm
End  : 03/27/2017 - 5:15pm

Applied Math Seminar

David Arnold (UCLA)


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.

Emmy Noether Rm Millikan 1021 Pomona College