Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/81156
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | Thin-film flow in helically wound rectangular channels with small torsion |
Author: | Stokes, Y. Duffy, B. Wilson, S. Tronnolone, H. |
Citation: | Physics of Fluids, 2013; 25(8):1-23 |
Publisher: | Amer Inst Physics |
Issue Date: | 2013 |
ISSN: | 1070-6631 1089-7666 |
Statement of Responsibility: | Y. M. Stokes, B. R. Duffy, S. K. Wilson, and H. Tronnolone |
Abstract: | Laminar gravity-driven thin-film flow down a helically wound channel of rectangular cross-section with small torsion in which the fluid depth is small is considered. Neglecting the entrance and exit regions we obtain the steady-state solution that is independent of position along the axis of the channel, so that the flow, which comprises a primary flow in the direction of the axis of the channel and a secondary flow in the cross-sectional plane, depends only on position in the two-dimensional cross-section of the channel. A thin-film approximation yields explicit expressions for the fluid velocity and pressure in terms of the free-surface shape, the latter satisfying a nonlinear ordinary differential equation that has a simple exact solution in the special case of a channel of rectangular cross-section. The predictions of the thin-film model are shown to be in good agreement with much more computationally intensive solutions of the small-helix-torsion Navier–Stokes equations. The present work has particular relevance to spiral particle separators used in the mineral-processing industry. The validity of an assumption commonly used in modelling flow in spiral separators, namely, that the flow in the outer region of the separator cross-section is described by a free vortex, is shown to depend on the problem parameters. |
Rights: | © 2013 AIP Publishing LLC |
DOI: | 10.1063/1.4818628 |
Published version: | http://dx.doi.org/10.1063/1.4818628 |
Appears in Collections: | Aurora harvest Mathematical Sciences publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
hdl_81156.pdf | Published version | 1.78 MB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.