Characteristic lengths at moving contact lines for a perfectly wetting fluid: the influence of speed on the dynamic contact angle

By Jens Eggers, Howard A. Stone. Journal of Fluid Mechanics, 2002

148 citations recorded by the source corpus.

It is common to relate the dynamic contact angle $\theta_d$ to the relative speed between the substrate and the contact line; theory suggests $\theta_d^3 \propto U$. In fact, available physical models show that the dynamic angle involves speed logarithmically and in a model-dependent manner. Experimental data consistent with this interpretation are cited.

Subfields: Computational Mechanics, Surfaces, Coatings and Films

View Paper: https://www.semanticscholar.org/paper/b1e4bc723b7aa3bcd7a38e1c0eb9fbb45b2ba576

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In Computational Mechanics

In Surfaces, Coatings and Films

Citations in the corpus

Inertial effects in droplet spreading: a comparison between diffuse-interface and level-set simulations (2007, background): “This falls well short of realistic conditions for millimetric droplets, which would demand λ=O(10−4) at most (Marsh, Garoff & Dussan V. 1993; Eggers & Stone 2004).”
Spreading of thin volatile liquid droplets on uniformly heated surfaces (2005, methodology): “Additional physical effects, such as Marangoni stresses at the droplet surface and chemical reaction at the solid–liquid interface, were investigated later for non-volatile droplets in the framework of the same approach by Ehrhard & Davis (1991) and Braun et al.”
Microfluidics: Fluid physics at the nanoliter scale (2005, background): “However, fluid dissipation diverges near the contact line, requiring a cutoff length scale from microscopic physics Dussan, 1979; de Gennes, 1985; de Gennes, Brochard-Wyart, and Quere, 2004; Eggers and Stone, 2004 .”
Microfluidics: The no-slip boundary condition (2005, background): “Consequently, macroscopic measurements on moving droplets cannot be used in general to deduce the exact slip law [48].”