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Fluid accumulation in thin-film flows driven by surface tension and gravity (I): Rigorous analysis of a drainage equation
Fluid accumulation surface tension and gravity drainage equation
2011/9/23
Abstract: We derive a boundary layer equation describing accumulation regions within a thin-film approximation framework where gravity and surface tension balance. As part of the analysis of this prob...
Surface tension of multi-phase flow with multiple junctions governed by the variational principle
multi-phase flow Surface tension variational principle Numerical Analysis
2011/10/8
Abstract: We explore a computational model of an incompressible fluid with a multi-phase field in three-dimensional Euclidean space. By investigating an incompressible fluid with a two-phase field geo...
Pole solutions in formation of the Saffman-Teylor "finger" with one half of the channel width without surface tension
surface tension integro-differential motion equations Laplacian growth
2011/7/5
Laplacian growth without surface tension has nice analytical solutions which replace its complex integro-differential motion equations by simple differential equations of poles motion in a complex pla...
Consider a viscous fluid of finite depth below the air. In the absence of the surface tension effect at the air-fluid interface, the long time behavior of a free surface with small amplitude has been ...
A jet from container and flow past a vertical flat plate in a channel with the surface tension effects
Free surface Potential flow Jet Surface tension
2010/9/16
The problem of steady two-dimensional free surface potential flow of incompressible fluid emerging from a slot of container of infinite long is considered. The fluid is assumed to be inviscid and the ...
Free surface flow with surface tension and gravity
free surface flow surface tension gravity series truncation
2010/9/16
Two-dimensional free surface flow of poured liquid from a container is computed numerically. The flow is assumed to be steady. The liquid is inviscid and incompressible. Both effects of gravity g and ...
Surface tension effect on a two dimensional channel flow against an inclined wall
free surface potential flow jet flow Weber number
2010/9/16
Surface tension effect on a two dimensional channel flow against an inclined wall is considered. The flow is assumed to be steady, irrotational, inviscid and incompressible. The effect of surface tens...
The free-surface flow due to a jet against an infinite vertical plate in presence of surface tension
Free surface Potential flow Weber number
2010/9/16
In the present work, we are interested by the study of a bidimensional and potential jet with a free surface. The fluid is assumed to be inviscid, incompressible and irrotational against a vertical pl...