Springer Nature - SN SciGraph project
Department of Mathematics, Harvard University, 02138-2901, Cambridge, MA, USA
Harvard University
Siegel
David
405-429
articles
research_article
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.
Equilibrium Configurations for a Floating Drop
true
en
2004-12-01
https://scigraph.springernature.com/explorer/license/
http://link.springer.com/10.1007/s00021-004-0119-5
2004-12
2019-04-11T01:01
Department of Applied Mathematics, University of Waterloo, N2L 3G1, Waterloo, ON, Canada
University of Waterloo
6
Neel
Robert
Elcrat
Alan
Wichita State University
Department of Mathematics and Statistics, Wichita State University, 67260-0033, Wichita, KA, USA
Chemical Sciences
readcube_id
2c29c99d6f30974859ec38fbf3fb995301d6fb9f8c96116dafd4dc2f66d89379
1422-6928
Journal of Mathematical Fluid Mechanics
1422-6952
Physical Chemistry (incl. Structural)
pub.1009270939
dimensions_id
doi
10.1007/s00021-004-0119-5
4