Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Journal of Colloid and Interface Science 240, 259271 (2001) doi:10.1006/jcis.2001.7562, available online at http://www.idealibrary.com on
 

Summary: Journal of Colloid and Interface Science 240, 259­271 (2001)
doi:10.1006/jcis.2001.7562, available online at http://www.idealibrary.com on
Steady Vapor Bubbles in Rectangular Microchannels
Vladimir S. Ajaev and G. M. Homsy1
Department of Chemical Engineering, Stanford University, Stanford, CA 94305
Received September 18, 2000; accepted March 17, 2001; published online June 26, 2001
We consider vapor bubbles in microchannels in which the vapor
is produced by a heater element and condenses in cooler parts of
the interface. The free boundary problem is formulated for a long
steady-state bubble in a rectangular channel with a heated bottom.
Lubrication-type equations are derived for the shape of the liquid­
vapor interface in a cross-sectional plane and in the regime for
which the vapor phase fills most of the cross section.These equa-
tions are then solved numerically over a range of parameter values
with given temperature profiles in the walls and subject to a global
integral condition requiring evaporation near the heater to balance
condensation in colder areas of the interface. Our results show that
depending on the temperature, the side walls can be either dry or
covered with a liquid film and we identify criteria for these two
different regimes. The asymptotic method breaks down in the limit

  

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

 

Collections: Mathematics; Physics