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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...
Numerical Investigation of a Dipole Type Solution for Unsteady Groundwater Flow with Capillary Retention and Forced Drainage
Numerical Investigation Dipole Type Solution Unsteady Groundwater Flow Capillary Retention
2010/10/29
A model of unsteady filtration (seepage) in a porous medium with capillary retention is considered. It leads to a free boundary problem for a generalized porous medium equation where the location of t...