Equilibrium configurations for a floating drop
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Issue Date
2004-12-01
Authors
Elcrat, Alan R.
Neel, Robert
Siegel, David
Advisor
Citation
Elcrat, A., R. Neel, et al. (2004). "Equilibrium configurations for a floating drop." Journal of Mathematical Fluid Mechanics 6(4): 405-429.
Abstract
If a drop of fluid of density ρ1 rests on the surface of a fluid of density ρ2 below a
fluid of density ρ0, ρ0 < ρ1 < ρ2, the surface of the drop is made up of a sessile drop and an
inverted sessile drop which match an external capillary surface. Solutions of this problem are
constructed by matching solutions of the axisymmetric capillary surface equation. For general
values of the surface tensions at the common boundaries of the three fluids the surfaces need
not be graphs and the profiles of these axisymmetric surfaces are parametrized by their tangent
angles. The solutions are obtained by finding the value of the tangent angle for which the three
surfaces match. In addition the asymptotic form of the solution is found for small drops.
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