Kinetic drop friction

Xiaomei Li, Francisco Bodziony, Mariana Yin, Holger Marschall, Rüdiger Berger and Hans-Jürgen Butt ()
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Xiaomei Li: Max Planck Institute for Polymer Research
Francisco Bodziony: Technische Universität Darmstadt
Mariana Yin: Technische Universität Darmstadt
Holger Marschall: Technische Universität Darmstadt
Rüdiger Berger: Max Planck Institute for Polymer Research
Hans-Jürgen Butt: Max Planck Institute for Polymer Research

Nature Communications, 2023, vol. 14, issue 1, 1-10

Abstract: Abstract Liquid drops sliding on tilted surfaces is an everyday phenomenon and is important for many industrial applications. Still, it is impossible to predict the drop’s sliding velocity. To make a step forward in quantitative understanding, we measured the velocity $$(U)$$ ( U ) , contact width $$(w)$$ ( w ) , contact length $$(L)$$ ( L ) , advancing $$({\theta }_{{{{{{\rm{a}}}}}}})$$ ( θ a ) , and receding contact angle $$({\theta }_{{{{{{\rm{r}}}}}}})$$ ( θ r ) of liquid drops sliding down inclined flat surfaces made of different materials. We find the friction force acting on sliding drops of polar and non-polar liquids with viscosities ( $${\eta }$$ η ) ranging from 10−3 to 1 $${{{{{\rm{Pa}}}}}}\cdot {{{{{\rm{s}}}}}}$$ Pa ⋅ s can empirically be described by $${F}_{{{{{{\rm{f}}}}}}}(U)={F}_{0}+\beta w\eta U$$ F f ( U ) = F 0 + β w η U for a velocity range up to 0.7 ms−1. The dimensionless friction coefficient $$(\beta )$$ ( β ) defined here varies from 20 to 200. It is a material parameter, specific for a liquid/surface combination. While static wetting is fully described by $${\theta }_{{{{{{\rm{a}}}}}}}$$ θ a and $${\theta }_{{{{{{\rm{r}}}}}}}$$ θ r , for dynamic wetting the friction coefficient is additionally necessary.

Date: 2023
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DOI: 10.1038/s41467-023-40289-8

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