Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/88947
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Type: | Journal article |
Title: | Thin-film flow in helically-wound rectangular channels of arbitrary torsion and curvature |
Author: | Arnold, D. Stokes, Y. Green, J. |
Citation: | Journal of Fluid Mechanics, 2015; 764:76-94 |
Publisher: | Cambridge University Press |
Issue Date: | 2015 |
ISSN: | 0022-1120 1469-7645 |
Statement of Responsibility: | D. J. Arnold, Y. M. Stokes, and J. E. F. Green |
Abstract: | 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. |
Keywords: | lubrication theory; thin films; waves/free-surface flows |
Rights: | © Cambridge University Press 2014 |
DOI: | 10.1017/jfm.2014.703 |
Grant ID: | http://purl.org/au-research/grants/arc/DE130100031 |
Appears in Collections: | Aurora harvest 7 Mathematical Sciences publications |
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hdl_88947.pdf | Submitted version | 739.87 kB | Adobe PDF | View/Open |
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