Rivulet flow down a slippery substrate
Alshaikhi, Abdulwahed S. and Wilson, Stephen K. and Duffy, Brian R. (2020) Rivulet flow down a slippery substrate. Physics of Fluids, 32 (7). 072011. ISSN 1070-6631
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Abstract
A detailed analysis of small-scale locally unidirectional gravity-driven rivulet flow with prescribed volume flux down an inclined slippery substrate for a rivulet with either constant width (i.e., pinned contact lines) or constant contact angle is undertaken. In particular, we determine the effect of varying the Navier slip length λ (i.e., the strength of the slip at the solid-fluid interface) on the rivulet. The present analysis shows that the shape and size of the rivulet and the velocity within it depend strongly on the value of λ. Increasing the value of λ reduces the viscous resistance at the substrate and, hence, leads to a larger velocity within the rivulet, and so the prescribed flux is achieved with a smaller rivulet. In particular, in the limit of strong slip, λ → ∞, for a rivulet of a perfectly wetting fluid and a rivulet with constant width, the velocity becomes large and plug-like like O(λ1/2) ≫ 1, and the rivulet becomes shallow like O(λ-1/2) ≪ 1, while for a rivulet with positive constant contact angle, the velocity becomes large and plug-like like O(λ2/3) ≫ 1, and the rivulet becomes narrow like O(λ-1/3) ≪ 1 and shallow like O(λ-1/3) ≪ 1.
Creators(s): |
Alshaikhi, Abdulwahed S. ![]() ![]() ![]() | Item type: | Article |
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ID code: | 73043 |
Keywords: | rivulet flows, microfluidics, nanofluidics, mathematical physics, fluid dynamics, Mathematics, Mathematical Physics |
Subjects: | Science > Mathematics |
Department: | Faculty of Science > Mathematics and Statistics Strategic Research Themes > Ocean, Air and Space Strategic Research Themes > Measurement Science and Enabling Technologies Strategic Research Themes > Energy Strategic Research Themes > Advanced Manufacturing and Materials |
Depositing user: | Pure Administrator |
Date deposited: | 06 Jul 2020 12:10 |
Last modified: | 21 Jan 2021 12:06 |
URI: | https://strathprints.strath.ac.uk/id/eprint/73043 |
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