Kinetic drop friction
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 ...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-07-01
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| Series: | Nature Communications |
| Online Access: | https://doi.org/10.1038/s41467-023-40289-8 |
| _version_ | 1797769434792722432 |
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| author | Xiaomei Li Francisco Bodziony Mariana Yin Holger Marschall Rüdiger Berger Hans-Jürgen Butt |
| author_facet | Xiaomei Li Francisco Bodziony Mariana Yin Holger Marschall Rüdiger Berger Hans-Jürgen Butt |
| author_sort | Xiaomei Li |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T21:07:59Z |
| format | Article |
| id | doaj.art-5f73126d234b4e71a492fbb955571a12 |
| institution | Directory Open Access Journal |
| issn | 2041-1723 |
| language | English |
| last_indexed | 2024-03-12T21:07:59Z |
| publishDate | 2023-07-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Nature Communications |
| spelling | doaj.art-5f73126d234b4e71a492fbb955571a122023-07-30T11:20:15ZengNature PortfolioNature Communications2041-17232023-07-0114111010.1038/s41467-023-40289-8Kinetic drop frictionXiaomei Li0Francisco Bodziony1Mariana Yin2Holger Marschall3Rüdiger Berger4Hans-Jürgen Butt5Max Planck Institute for Polymer ResearchComputational Multiphase Flows, Technische Universität DarmstadtComputational Multiphase Flows, Technische Universität DarmstadtComputational Multiphase Flows, Technische Universität DarmstadtMax Planck Institute for Polymer ResearchMax Planck Institute for Polymer ResearchAbstract 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.https://doi.org/10.1038/s41467-023-40289-8 |
| spellingShingle | Xiaomei Li Francisco Bodziony Mariana Yin Holger Marschall Rüdiger Berger Hans-Jürgen Butt Kinetic drop friction Nature Communications |
| title | Kinetic drop friction |
| title_full | Kinetic drop friction |
| title_fullStr | Kinetic drop friction |
| title_full_unstemmed | Kinetic drop friction |
| title_short | Kinetic drop friction |
| title_sort | kinetic drop friction |
| url | https://doi.org/10.1038/s41467-023-40289-8 |
| work_keys_str_mv | AT xiaomeili kineticdropfriction AT franciscobodziony kineticdropfriction AT marianayin kineticdropfriction AT holgermarschall kineticdropfriction AT rudigerberger kineticdropfriction AT hansjurgenbutt kineticdropfriction |