Capillary retraction of the edge of a stretched viscous sheet
Keyword(s):
Surface tension causes the edge of a fluid sheet to retract. If the sheet is also stretched along its edge then the flow and the rate of retraction are modified. A universal similarity solution for the Stokes flow in a stretched edge shows that the scaled shape of the edge is independent of the stretching rate, and that it decays exponentially to its far-field thickness. This solution justifies the use of a stress boundary condition in long-wavelength models of stretched viscous sheets, and gives the detailed shape of the edge of such a sheet, resolving the position of the sheet edge to the order of the thickness.
1989 ◽
Vol 42
(1)
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pp. 99-113
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2018 ◽
Vol 24
(5)
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pp. 1556-1566
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2013 ◽
Vol 2013
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pp. 1-12
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2003 ◽
Vol 129
(7)
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pp. 651-658
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1972 ◽
Vol 56
(2)
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pp. 193-200
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