Dynamic drying transition via free-surface cusps
| Autor: | Jacco H. Snoeijer, James E. Sprittles, Catherine Kamal, Jens Eggers |
|---|---|
| Přispěvatelé: | Physics of Fluids |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Materials science
Mechanical Engineering Airflow contact lines UT-Hybrid-D interfacial flows (free surface) Slip (materials science) Mechanics gas/liquid flow Viscous liquid Condensed Matter Physics 01 natural sciences Capillary number 010305 fluids & plasmas Physics::Fluid Dynamics Mechanics of Materials Free surface 0103 physical sciences Air entrainment Wetting 010306 general physics QA TC QC Dimensionless quantity |
| Zdroj: | Journal of fluid mechanics, 858, 760-786. Cambridge University Press Kamal, C E M, sprittles, J, Snoeijer, J & Eggers, J 2019, ' Dynamic drying transition via free-surface cusps ', Journal of Fluid Mechanics, vol. 858, pp. 760-786 . https://doi.org/10.1017/jfm.2018.794 |
| ISSN: | 0022-1120 |
| DOI: | 10.1017/jfm.2018.794 |
| Popis: | We study air entrainment by a solid plate plunging into a viscous liquid, theoretically and numerically. At dimensionless speeds $Ca=U\unicode[STIX]{x1D702}/\unicode[STIX]{x1D6FE}$ of order unity, a near-cusp forms due to the presence of a moving contact line. The radius of curvature of the cusp’s tip scales with the slip length multiplied by an exponential of $-Ca$. The pressure from the air flow drawn inside the cusp leads to a bifurcation, at which air is entrained, i.e. there is ‘wetting failure’. We develop an analytical theory of the threshold to air entrainment, which predicts the critical capillary number to depend logarithmically on the viscosity ratio, with corrections coming from the slip in the gas phase. |
| Databáze: | OpenAIRE |
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