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Dynamics of volatile liquid droplets on heated surfaces: theory versus experiment

Published online by Cambridge University Press:  08 August 2008

CHRISTOF SODTKE ,
VLADIMIR S. AJAEV  and
PETER STEPHAN
CHRISTOF SODTKE
Affiliation:
Darmstadt University of Technology, Petersenstrasse 30, 64287 Darmstadt, Germany
VLADIMIR S. AJAEV
Affiliation:
Southern Methodist University, Dallas, TX 75275, USA
PETER STEPHAN
Affiliation:
Darmstadt University of Technology, Petersenstrasse 30, 64287 Darmstadt, Germany
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Abstract

We consider the evaporation of volatile liquid droplets deposited on a heated substrate in a pure saturated vapour environment. A mathematical model is developed that incorporates the effects of surface tension, evaporation, thermocapillarity, gravity, disjoining pressure, as well as unsteady heat conduction in the solid substrate. The apparent contact line is treated mathematically as a transition region between the macroscopic droplet shape and the adsorbed film of liquid on the heated substrate. Theoretical parametric studies are conducted to clarify the effects of thermocapillarity and wetting properties on the droplet dynamics. An experimental study is conducted in a closed container with de-ionized water droplets on a stainless steel foil heated by an electric current. The interface shapes are recorded together with the temperature profiles under the droplets, measured using thermochromic liquid crystals. Experiment and theory are in very good agreement as long as the conditions of applicability of our lubrication-type mathematical model are satisfied.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 610 , 10 September 2008 , pp. 343 - 362
Copyright
Copyright © Cambridge University Press 2008

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