A.A. Abdalla
Steady bilayer channel and free-surface isothermal film flow over topography
Abdalla, A.A.; Veremieiev, S.; Gaskell, P.H.
Authors
Dr Sergii Veremieiev s.veremieiev@durham.ac.uk
Associate Professor
Professor Philip Gaskell p.h.gaskell@durham.ac.uk
Professor
Abstract
Two flow configurations, involving bilayers, are explored systematically: through an inclined channel comprised of two planar surfaces in parallel alignment and down an inclined plane. Both liquid layers are assumed to be perfectly immiscible and the lower rigid bounding surface contains locally defined steep-sided topographical features – either a step-up/-down or a trench. A common governing equation-set based on the long-wave approximation and depth-averaging is derived, embodying the more general case of a system of n-layers, and solved numerically. Results for the particular case of flow in a vertically aligned channel are found to be indistinguishable from corresponding solutions in the literature; those for the case of a step-up and non-zero Reynolds number having not been reported hitherto. New to this, the case of flow in a inclined channel is investigated as is the situation when, in horizontal alignment, the channel’s upper planar bounding surface moves with a constant speed inducing a shear flow. Gravity-driven bilayer film flow reveals a number of interesting features dependent on the fluid properties, the Reynolds number and the ratio of the upper to lower liquid layer thickness, with parallels drawn to the practically relevant cascade/slide-coating mode of multi-layer thin-film deposition. In the limit when both layers have identical properties the corresponding equivalent single layer solution is recovered exactly.
Citation
Abdalla, A., Veremieiev, S., & Gaskell, P. (2018). Steady bilayer channel and free-surface isothermal film flow over topography. Chemical Engineering Science, 181, 215-236. https://doi.org/10.1016/j.ces.2018.01.031
Journal Article Type | Article |
---|---|
Acceptance Date | Jan 22, 2018 |
Online Publication Date | Feb 10, 2018 |
Publication Date | May 1, 2018 |
Deposit Date | Feb 16, 2018 |
Publicly Available Date | Feb 10, 2019 |
Journal | Chemical Engineering Science |
Print ISSN | 0009-2509 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 181 |
Pages | 215-236 |
DOI | https://doi.org/10.1016/j.ces.2018.01.031 |
Public URL | https://durham-repository.worktribe.com/output/1339534 |
Files
Accepted Journal Article
(4.8 Mb)
PDF
Publisher Licence URL
http://creativecommons.org/licenses/by-nc-nd/4.0/
Copyright Statement
© 2018 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
You might also like
Formation and evolution of vortex rings with weak to moderate swirl
(2023)
Journal Article
An advanced, comprehensive thermochemical equilibrium model of a downdraft biomass gasifier
(2022)
Journal Article
Gravity-driven film flow down a uniformly heated smoothly corrugated rigid substrate
(2021)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search