Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
J. Fluid Mech. (2005), vol. 528, pp. 279296. c 2005 Cambridge University Press doi:10.1017/S0022112005003320 Printed in the United Kingdom
 

Summary: J. Fluid Mech. (2005), vol. 528, pp. 279296. c 2005 Cambridge University Press
doi:10.1017/S0022112005003320 Printed in the United Kingdom
279
Spreading of thin volatile liquid droplets
on uniformly heated surfaces
By VLADIMIR S. AJAEV
Department of Mathematics, Southern Methodist University, Dallas, TX 75275, USA
(Received 22 October 2003 and in revised form 29 October 2004)
We develop a mathematical model for the spreading of a thin volatile liquid droplet
on a uniformly heated surface. The model accounts for the effects of surface tension,
evaporation, thermocapillarity, gravity and disjoining pressure for both perfectly
wetting and partially wetting liquids. Previous studies of non-isothermal spreading
did not include the effects of disjoining pressure and therefore had to address the
difficult issue of imposing proper boundary conditions at the contact line where
the droplet surface touches the heated substrate. We avoid this difficulty by taking
advantage of the fact that dry areas on the heated solid surface are typically covered
by a microscopic adsorbed film where the disjoining pressure suppresses evaporation.
We use a lubrication-type approach to derive a single partial differential equation
capable of describing both the time-dependent macroscopic shape of the droplet and
the microscopic adsorbed film; the contact line is then defined as the transition region

  

Source: Ajaev, Vladimir - Department of Mathematics, Southern Methodist University

 

Collections: Mathematics; Physics