Journal
JOURNAL OF FLUID MECHANICS
Volume 764, Issue -, Pages 76-94Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2014.703
Keywords
lubrication theory; thin films; waves/free-surface flows
Categories
Funding
- Australian Postgraduate Awar
- Australian Research Council Discovery Early Career Researcher Award [DE130100031]
- Australian Research Council [DE130100031] Funding Source: Australian Research Council
Ask authors/readers for more resources
Laminar helically-symmetric gravity-driven thin-film flow down a helically-wound channel of rectangular cross-section is considered. We extend the work of Stokes et al. (Phys. Fluids, vol. 25 (8), 2013, 083103) and Lee et al. (Phys. Fluids, vol. 26 (4), 2014, 043302) to channels with arbitrary curvature and torsion or, equivalently, arbitrary curvature and slope. We use a non-orthogonal coordinate system and, remarkably, find an exact steady-state solution. We find that the free-surface shape and flow have a complicated dependence on the curvature, slope and flux down the channel. Moderate to large channel slope has a significant effect on the flow in the region of the channel near the inside wall, particularly when the curvature of the channel is large. This work has application to flow in static spiral particle separators used in mineral processing.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available