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We study the interaction of a liquid drop with an elastic beam in the case where bending effects dominate. We use a variational approach to derive equilibrium equations for the system in the presence of gravity and in the presence or…

软凝聚态物质 · 物理学 2013-07-26 Sebastien Neukirch , Arnaud Antkowiak , Jean-Jacques Marigo

The complicated dynamics of the contact line of a moving droplet on a solid substrate often hamper the efficient modeling of microfluidic systems. In particular, the selection of the effective boundary conditions, specifying the contact…

This study considers the spreading of a Newtonian and perfectly wetting liquid in a square array of cylindric micropillars confined between two plates. We show experimentally that the dynamics of the contact line follows a Washburn-like law…

流体动力学 · 物理学 2016-02-26 Baptiste Darbois Texier , Philippe Laurent , Serguei Stoukatch , Stéphane Dorbolo

The spreading of a cap-shaped spherical droplet on a completely wettable spherical substrate is studied. The non-equilibrium thermodynamic formulation is used to derive the thermodynamic driving force of spreading including the line-tension…

软凝聚态物质 · 物理学 2017-05-24 Masao Iwamatsu

When a droplet spreads on a solid substrate, it is unclear what are the correct boundary conditions to impose at the moving contact line. The classical no-slip condition is generally acknowledged to lead to a non-integrable singularity at…

流体动力学 · 物理学 2023-07-19 Weiqing Ren , Philippe H. Trinh , Weinan E

The spreading of liquid drops on soft substrates is extremely slow, owing to strong viscoelastic dissipation inside the solid. A detailed understanding of the spreading dynamics has remained elusive, partly owing to the difficulty in…

软凝聚态物质 · 物理学 2019-07-19 M. van Gorcum , S. Karpitschka , B. Andreotti , J. H. Snoeijer

We study a solid plate plunging into or being withdrawn from a liquid bath, to highlight the fundamental difference between the local behavior of an advancing or a receding contact line, respectively. It is assumed that the liquid partially…

流体动力学 · 物理学 2007-05-23 Jens Eggers

The contact angle of a liquid droplet on a solid surface is a direct measure of fundamental atomic-scale forces acting between liquid molecules and the solid surface. In this work, the validity is assessed of a simple equation, which…

软凝聚态物质 · 物理学 2008-03-18 R. Garcia , K. Osborne , E. Subashi

The profiles of a spreading wetting film are computed taking into account intermolecular forces and introducing a kinetic slip condition at a molecular cut-off distance. This eliminates the stress singularity, so that both "true" and…

流体动力学 · 物理学 2007-05-23 Len M. Pismen , Boris Y. Rubinstein

We report on the onset of fluid entrainment when a contact line is forced to advance over a dry solid of arbitrary wettability. We show that entrainment occurs at a critical advancing speed beyond which the balance between capillary,…

软凝聚态物质 · 物理学 2015-06-16 Rodrigo Ledesma-Aguilar , Aurora Hernández-Machado , Ignacio Pagonabarraga

We study the dewetting of a porous plate withdrawn from a bath of fluid. The microscopic contact angle is fixed to zero and the flow is assumed to be parallel to the plate (lubrication approximation). The ordinary differential equation…

软凝聚态物质 · 物理学 2007-05-23 Olivier Devauchelle , Christophe Josserand , Stephane Zaleski

The shape of a drop pinned in a local equilibrium on an incline is a long-standing problem. The substrate can be homogeneous or heterogeneous and we herewith consider a drop pinned on an incline at the junction between a hydrophilic…

软凝聚态物质 · 物理学 2017-11-01 Joel De Coninck , Juan Carlos Fernandez Toledano , François Dunlop , Thierry Huillet

In this article, we study the spreading of droplets of density-matched granular suspensions on the surface of a solid. Bidispersity of the particle size distribution enriches the conclusions drawn from monodisperse experiments by…

软凝聚态物质 · 物理学 2023-01-25 Alice Pelosse , Élisabeth Guazzelli , Matthieu Roché

A prototypical problem in the study of wetting phenomena is that of a solid plunging into or being withdrawn from a liquid bath. In the latter, de-wetting case, a critical speed exists above which a stationary contact line is no longer…

流体动力学 · 物理学 2009-11-10 Jens Eggers

We discuss the behavior of partially wetting liquids on a rotating cylinder using a model that takes into account the effects of gravity, viscosity, rotation, surface tension and wettability. Such a system can be considered as a prototype…

流体动力学 · 物理学 2018-07-24 Te-Sheng Lin , Steven Rogers , Dmitri Tseluiko , Uwe Thiele

The effects of line tension on the morphology of a lens-shaped droplet and bubble placed on the inner wall of a spherical cavity are studied. The contact angle between the lens-shaped droplet and the concave spherical substrate is expressed…

软凝聚态物质 · 物理学 2016-05-04 Masao Iwamatsu

The contact angle that a liquid drop makes on a soft substrate does not obey the classical Young's relation, since the solid is deformed elastically by the action of the capillary forces. The finite elasticity of the solid also renders the…

流体动力学 · 物理学 2015-06-05 Antonin Marchand , Siddhartha Das , Jacco H. Snoeijer , Bruno Andreotti

A difficulty in the classical hydrodynamic analysis of moving contact-line problems, associated with the no-slip wall boundary condition resulting in an unbalanced divergence of the viscous stresses, is reexamined with a smoothed,…

流体动力学 · 物理学 2008-06-25 X. Y. Hu , N. A. Adams

We show that to account for the full spectrum of surface fluctuations from low scattering vector qd << 1 (classical capillary wave theory) to high qd > 1 (bulk-like fluctuations), one must take account of the interface's bending rigidity at…

软凝聚态物质 · 物理学 2009-11-13 Edgar M. Blokhuis

Interfacial flows close to a moving contact line are inherently multi-scale. The shape of the interface and the flow at meso- and macroscopic scales inherit an apparent interface slope and a regularization length, both called after Voinov,…

软凝聚态物质 · 物理学 2015-06-12 V. Janecek , B. Andreotti , D. Prazak , T. Barta , V. S. Nikolayev