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The contact line of an evaporating droplet over a solid wedge and the pinned–unpinned transition

Published online by Cambridge University Press:  23 February 2016

Seok Hyun Hong ,
Marco A. Fontelos  and
Hyung Ju Hwang
Seok Hyun Hong
Affiliation:
Department of Mathematics, POSTECH, 77 Cheongam-Ro, Nam-Gu, Pohang, Gyeongbuk 37673, Korea
Marco A. Fontelos*
Affiliation:
Instituto de Ciencias Matemáticas (ICMAT), C/Nicolás Cabrera, Madrid 28049, Spain
Hyung Ju Hwang
Affiliation:
Department of Mathematics, POSTECH, 77 Cheongam-Ro, Nam-Gu, Pohang, Gyeongbuk 37673, Korea
*
†Email address for correspondence: [email protected]
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Abstract

We compute the equilibrium contact angles for an evaporating droplet whose contact line lies over a solid wedge. The stability of the liquid interface is also considered and an integro-differential equation for small perturbations is deduced. The analysis of this equation yields criteria for stability and instability of the contact line, where the instability represents transition from the pinned to unpinned contact line representative of stick–slip motion.

JFM classification

Interfacial Flows (free surface): Capillary flows Phase change: Condensation/evaporation Interfacial Flows (free surface): Interfacial Flows (free surface)
Type
Papers
Information
Journal of Fluid Mechanics , Volume 791 , 25 March 2016 , pp. 519 - 538
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Copyright
© 2016 Cambridge University Press 

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