2000
DOI: 10.1007/s004199900039
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Influence of the capillarity on a creeping film flow down an inclined plane with an edge

Abstract: In creeping¯ows of thin ®lms, the capillarity can play a dominant role. In this paper, the creeping ®lm¯ow down an inclined plane with an edge is considered. The in¯uence of the capillarity on the velocity and the ®lm surface is studied analytically, numerically and experimentally.

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Cited by 22 publications
(12 citation statements)
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“…Following Aksel (2000), an appropriate length scale for non-dimensionalization purposes is the undisturbed fully developed film thickness:…”
Section: Full-width Topographymentioning
confidence: 99%
“…Following Aksel (2000), an appropriate length scale for non-dimensionalization purposes is the undisturbed fully developed film thickness:…”
Section: Full-width Topographymentioning
confidence: 99%
“…Equation (11) implies that the free surface velocity is proportional to the inverse film thickness f = h − b. Substituting Eq.…”
Section: Inverse Solution For a Given Free Surface Velocitymentioning
confidence: 97%
“…We now solve the simplified set of equations according to [11]. The momentum balance in the z-direction reduces to the hydrostatic pressure balance.…”
Section: Modeling and Governing Equationsmentioning
confidence: 99%
“…Then, the free surface is given asz = H . Furthermore, the spatial extensions of the bottom in the flow direction and in the y-direction are assumed to be sufficiently large that effects due to the inflow and outflow regions, as discussed in [27], and the side-walls effects discussed in [28,29], can be neglected. Thus, a two-dimensional flow geometry…”
Section: Field Equations and Scalingmentioning
confidence: 99%