Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
The equilibrium shape of an axisymmetric sessile drop subject to local stresses
 

Summary: The equilibrium shape of an axisymmetric sessile drop
subject to local stresses
S.J. Miklavcic
and P. Attard

Department of Science and Technology, Campus NorrkĻoping,
LinkĻoping University, S-601 74, NorrkĻoping, Sweden
Ian Wark Research Institute, The Levels Campus,
University of South Australia, Mawson Lakes, SA 5086, Australia.
June 17, 2001
Abstract
The exact equation describing the shape of a fluid drop under the action of local surface
stresses induced by colloidal interactions is derived without resorting to any of the approxima-
tions inherent in the profile equation currently employed in the literature. The exact equation
implies, and numerical examples confirm, that repulsive external (i.e., positive) surface ener-
gies assist in stabilising the drop against deformation, while attractive (i.e., negative) energies
destabilise the drop, promoting or enhancing deformation. An inherent singularity in the gov-
erning differential equation (absent from the approximate equations currently used) when the
surface energy (surface tension) is identically matched by an external attractive energy repre-
sents an instability limit. Explicit bounds are established for a further instability criterion and

  

Source: Attard, Phil - School of Chemistry, University of Sydney

 

Collections: Chemistry