Please use this identifier to cite or link to this item:
Scopus Web of Science® Altmetric
Full metadata record
DC FieldValueLanguage
dc.contributor.authorArnold, D.-
dc.contributor.authorStokes, Y.-
dc.contributor.authorGreen, J.-
dc.identifier.citationJournal of Fluid Mechanics, 2015; 764:76-94-
dc.description.abstractLaminar 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.-
dc.description.statementofresponsibilityD. J. Arnold, Y. M. Stokes, and J. E. F. Green-
dc.publisherCambridge University Press-
dc.rights© Cambridge University Press 2014-
dc.subjectlubrication theory; thin films; waves/free-surface flows-
dc.titleThin-film flow in helically-wound rectangular channels of arbitrary torsion and curvature-
dc.typeJournal article-
dc.identifier.orcidStokes, Y. [0000-0003-0027-6077]-
dc.identifier.orcidGreen, J. [0000-0001-5061-9563]-
Appears in Collections:Aurora harvest 7
Mathematical Sciences publications

Files in This Item:
File Description SizeFormat 
hdl_88947.pdfSubmitted version739.87 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.