Equilibrium configurations for a floating drop View Full Text


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Article Info

DATE

2004-12

AUTHORS

Alan Elcrat, Robert Neel, David Siegel

ABSTRACT

If a drop of fluid of density ρ1 rests on the surface of a fluid of density ρ 2 below a fluid of densitypo, po ρ1 < π2, 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. More... »

PAGES

405-429

References to SciGraph publications

  • 1968-01. Interior and exterior boundary value problems from the theory of the capillary tube in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
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    http://scigraph.springernature.com/pub.10.1007/bf02674776

    DOI

    http://dx.doi.org/10.1007/bf02674776

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