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. 072011. ISSN 10706631

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Abstract
A detailed analysis of smallscale locally unidirectional gravitydriven 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 that varying the Navier slip length lambda (i.e, the strength of the slip at the solidfluid interface) has 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 lambda. Increasing the value of lambda 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, lambda > infinity, for a rivulet of a perfectly wetting fluid and a rivulet with constant width the velocity becomes large and pluglike like O(lambda^(1/2)) >> 1 and the rivulet becomes shallow like O(lambda^(1/2)) << 1, while for a rivulet with positive constant contact angle the velocity becomes large and pluglike like O(lambda^(2/3)) >> 1 and the rivulet becomes narrow like O(lambda^(1/3)) << 1 and shallow like O(lambda^(1/3)) << 1.
Creators(s):  Alshaikhi, Abdulwahed S. ORCID: https://orcid.org/0000000156081813, Wilson, Stephen K. ORCID: https://orcid.org/0000000178419643 and Duffy, Brian R. ORCID: https://orcid.org/0000000326877938; 

Item type:  Article 
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:  07 Aug 2020 09:04 
URI:  https://strathprints.strath.ac.uk/id/eprint/73043 
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