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Universal rescaling of drop impact on smooth and rough surfaces

Published online by Cambridge University Press:  30 November 2015

J. B. Lee ,
N. Laan ,
K. G. de Bruin ,
G. Skantzaris ,
N. Shahidzadeh ,
D. Derome ,
J. Carmeliet  and
D. Bonn
J. B. Lee
Affiliation:
Chair of Building Physics, ETH Zürich, Stefano-Franscini-Platz 5, CH-8093 Zürich, Switzerland
N. Laan
Affiliation:
Van der Waals-Zeeman Institute, Institute of Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, Netherlands
K. G. de Bruin
Affiliation:
Netherlands Forensic Institute, Laan van Ypenburg 6, 2497 GB The Hague, Netherlands
G. Skantzaris
Affiliation:
Van der Waals-Zeeman Institute, Institute of Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, Netherlands
N. Shahidzadeh
Affiliation:
Van der Waals-Zeeman Institute, Institute of Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, Netherlands
D. Derome
Affiliation:
Laboratory for Multiscale Studies in Building Physics, Swiss Federal Laboratories for Materials Science and Technology, EMPA, Überlandstrasse 129, CH-8600 Dübendorf, Switzerland
J. Carmeliet*
Affiliation:
Chair of Building Physics, ETH Zürich, Stefano-Franscini-Platz 5, CH-8093 Zürich, Switzerland Laboratory for Multiscale Studies in Building Physics, Swiss Federal Laboratories for Materials Science and Technology, EMPA, Überlandstrasse 129, CH-8600 Dübendorf, Switzerland
D. Bonn
Affiliation:
Van der Waals-Zeeman Institute, Institute of Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, Netherlands
*
†Email address for correspondence: [email protected]
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Abstract

The maximum spreading of drops impacting on smooth and rough surfaces is measured from low to high impact velocity for liquids with different surface tensions and viscosities. We demonstrate that dynamic wetting plays an important role in the spreading at low velocity, characterized by the dynamic contact angle at maximum spreading. In the energy balance, we account for the dynamic wettability by introducing the capillary energy at zero impact velocity, which relates to the spreading ratio at zero impact velocity. Correcting the measured spreading ratio by the spreading ratio at zero velocity, we find a correct scaling behaviour for low and high impact velocity and, by interpolation between the two, we find a universal scaling curve. The influence of the liquid as well as the nature and roughness of the surface are taken into account properly by rescaling with the spreading ratio at zero velocity, which, as demonstrated, is equivalent to accounting for the dynamic contact angle.

JFM classification

Drops and Bubbles: Drops Interfacial Flows (free surface): Interfacial Flows (free surface)
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 786 , 10 January 2016 , R4
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Copyright
© 2015 Cambridge University Press 

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