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Rivulet flow over a flexible beam

Abstract:

We study theoretically and experimentally how a thin layer of liquid flows along a flexible beam. The flow is modelled using lubrication theory and the substrate is modelled as an elastica which deforms according to the Euler–Bernoulli equation. A constant flux of liquid is supplied at one end of the beam, which is clamped horizontally, while the other end of the beam is free. As the liquid film spreads, its weight causes the beam deflection to increase, which in turn enhances the spreading r...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1017/jfm.2016.258

Authors


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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Popova, MG More by this author
Publisher:
Cambridge University Press Publisher's website
Journal:
Journal of Fluid Mechanics Journal website
Volume:
796
Pages:
285-305
Publication date:
2016
DOI:
EISSN:
1469-7645
ISSN:
0022-1120
URN:
uuid:04a28a24-6ab8-44f9-9a8d-f9175fd2bda2
Source identifiers:
612541
Local pid:
pubs:612541

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