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Travelling-wave similarity solutions for a steadily translating slender dry patch in a thin fluid film

Abstract:

A novel family of three-dimensional travelling-wave similarity solutions describing a steadily translating slender dry patch in an infinitely wide thin fluid film on an inclined planar substrate is obtained, the flow being driven by gravity and/or a prescribed constant shear stress on the free surface of the film. For both driving mechanisms, the dry patch has a parabolic shape (which may be concave up or concave down the substrate), and the film thickness increases monotonically away from th...

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Y. M. Yatim More by this author
B. R. Duffy More by this author
S. K. Wilson More by this author
Publication date:
2013
URN:
uuid:f9dc9def-7639-40f9-94ed-bfdb757f4037
Local pid:
oai:eprints.maths.ox.ac.uk:1713

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