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Equilibrium configurations for a floating drop
Elcrat, Alan R. Neel, Robert Siegel, David
Elcrat, Alan R.
Neel, Robert
Siegel, David
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MAT_Elcrat_2004a.pdf
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2004-12-01
Type
Article
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Keywords
Capillary surface,Floating drop,Surface tension
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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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Publisher
Birkhäuser-Verlag, Basel
Journal
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Journal of Mathematical Fluid Mechanics;v.6 no.4
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ISSN
1422-6928
1422-6952
1422-6952