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The strong influence of substrate conductivity on droplet evaporation

Published online by Cambridge University Press:  06 March 2009

G. J. DUNN ,
S. K. WILSON ,
B. R. DUFFY ,
S. DAVID  and
K. SEFIANE
G. J. DUNN
Affiliation:
Department of Mathematics, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, UK
S. K. WILSON*
Affiliation:
Department of Mathematics, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, UK
B. R. DUFFY
Affiliation:
Department of Mathematics, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, UK
S. DAVID
Affiliation:
School of Engineering and Electronics, The University of Edinburgh, The King's Buildings, Mayfield Road, Edinburgh, EH9 3JLUK
K. SEFIANE
Affiliation:
School of Engineering and Electronics, The University of Edinburgh, The King's Buildings, Mayfield Road, Edinburgh, EH9 3JLUK
*
†Email address for correspondence: [email protected]
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Abstract

We report the results of physical experiments that demonstrate the strong influence of the thermal conductivity of the substrate on the evaporation of a pinned droplet. We show that this behaviour can be captured by a mathematical model including the variation of the saturation concentration with temperature, and hence coupling the problems for the vapour concentration in the atmosphere and the temperature in the liquid and the substrate. Furthermore, we show that including two ad hoc improvements to the model, namely a Newton's law of cooling on the unwetted surface of the substrate and the buoyancy of water vapour in the atmosphere, give excellent quantitative agreement for all of the combinations of liquid and substrate considered.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 623 , 25 March 2009 , pp. 329 - 351
Copyright
Copyright © Cambridge University Press 2009

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