Steady solutions of inertial film flow along strongly undulated substrates
Steady flow of a liquid film along sinusoidal, steeply corrugated walls is investigated by finite-element simulation of the 2D Navier-Stokes equations. Resonance between the wall and capillary-gravity waves travelling against the flow defines a critical Re and separates the flow into a subcritical a...
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Published in | Physics of fluids (1994) Vol. 23; no. 5; pp. 052103 - 052103-13 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Melville, NY
American Institute of Physics
01.05.2011
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Subjects | |
Online Access | Get full text |
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Summary: | Steady flow of a liquid film along sinusoidal, steeply corrugated walls is investigated by finite-element simulation of the 2D Navier-Stokes equations. Resonance between the wall and capillary-gravity waves travelling against the flow defines a critical
Re
and separates the flow into a subcritical and a supercritical regime. Steep corrugations trigger extensive flow separation in both regimes. However, the separation characteristics-most notably the limiting behavior for very thin and very thick films-vary because of the different significance of capillary forces in the two regimes. For very steep corrugations, two intersecting solution branches co-exist. The present computational predictions are compared favorably with independent experimental observations. |
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ISSN: | 1070-6631 1089-7666 |
DOI: | 10.1063/1.3591154 |