An accurate and comprehensive model of thin fluid flows with inertia on curved substrates
Article
Roberts, A. J. and Li, Zhenquan. 2006. "An accurate and comprehensive model of thin fluid flows with inertia on curved substrates." Journal of Fluid Mechanics. 553 (1), pp. 33-73. https://doi.org/10.1017/S0022112006008640
| Article Title | An accurate and comprehensive model of thin fluid flows with inertia on curved substrates |
|---|---|
| ERA Journal ID | 1294 |
| Article Category | Article |
| Authors | Roberts, A. J. (Author) and Li, Zhenquan (Author) |
| Journal Title | Journal of Fluid Mechanics |
| Journal Citation | 553 (1), pp. 33-73 |
| Number of Pages | 41 |
| Year | 2006 |
| Publisher | Cambridge University Press |
| Place of Publication | Cambridge, UK |
| ISSN | 0022-1120 |
| 1469-7645 | |
| Digital Object Identifier (DOI) | https://doi.org/10.1017/S0022112006008640 |
| Web Address (URL) | http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=421727 |
| Abstract | Consider the three-dimensional flow of a viscous Newtonian fluid upon a curved two-dimensional substrate when the fluid film is thin, as occurs in many draining, coating and biological flows. We derive a comprehensive model of the dynamics of the film, the model being expressed in terms of the film thickness n and the average lateral velocity Pu. Centre manifold theory assures us that the model accurately and systematically includes the effects of the curvature of substrate, gravitational body force, fluid inertia and dissipation. The model resolves wavelike phenomena in the |
| Keywords | viscous fluid flows; flow over curved surfaces; thin-film flow |
| ANZSRC Field of Research 2020 | 401207. Fundamental and theoretical fluid dynamics |
| 401299. Fluid mechanics and thermal engineering not elsewhere classified | |
| 490105. Dynamical systems in applications | |
| Public Notes | This is the author's version, deposited in accordance with the publisher's policy. |
| Byline Affiliations | Department of Mathematics and Computing |
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