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It is well known that, at a macroscopic level, the boundary condition for a viscous fluid at a solid wall is one of "no-slip". The liquid velocity field vanishes at a fixed solid boundary. In this paper, we consider the special case of a…

Soft Condensed Matter · Physics 2015-06-25 Jean-Louis Barrat , Lydéric Bocquet

We present a solvable model inspired by dimensional analysis for the time-dependent spreading of droplets that partially wet a substrate, where the spreading eventually stops and the contact angle reaches a nonzero equilibrium value. We…

Controlling the spatial distribution of liquid droplets on surfaces via surface energy patterning can be used to control material delivery to specified regions via selective liquid/solid wetting. While studies of the equilibrium shape of…

Soft Condensed Matter · Physics 2007-05-23 Gary S. Grest , David R. Heine , Edmund B. Webb

We introduce an accurate and efficient method for characterizing surface wetting and interfacial properties, such as the contact angle made by a liquid droplet on a solid surface, and the vapor-liquid surface tension of a fluid. The method…

Soft Condensed Matter · Physics 2018-11-14 Hao Jiang , Suruchi Fialoke , Zachariah Vicars , Amish J. Patel

We consider the gravity-driven flow of a perfect dielectric, viscous, thin liquid film, wetting a flat substrate inclined at a non-zero angle to the horizontal. The dynamics of the thin film is influenced by an electric field which is set…

Fluid Dynamics · Physics 2019-08-30 Ruben J Tomlin , Radu Cimpeanu , Demetrios T Papageorgiou

We consider the flotation of deformable, non-wetting drops on a liquid interface. We consider the deflection of both the liquid interface and the droplet itself in response to the buoyancy forces, density difference and the various surface…

Soft Condensed Matter · Physics 2017-08-10 Clint Y. H. Wong , Mokhtar Adda-Bedia , Dominic Vella

Tree frogs are able take advantage of an interconnected network of epithelial cells in their toe pads to modulate their adhesion to surfaces under dry, wet, and flooded environments. It has been hypothesized that these interconnected…

Soft Condensed Matter · Physics 2015-02-10 Charles Dhong , Joelle Frechette

Ambient air cushions the impact of drops on solid substrates, an effect usually revealed by the entrainment of a bubble, trapped as the air squeezed under the drop drains and liquid-solid contact occurs. The presence of air becomes evident…

Fluid Dynamics · Physics 2023-05-24 Pierre Chantelot , Detlef Lohse

Volatile drops deposited on a hot solid can levitate on a cushion of their own vapor, without contacting the surface. We propose to understand the onset of this so-called Leidenfrost effect through an analogy to non-equilibrium systems…

Fluid Dynamics · Physics 2021-09-22 Pierre Chantelot , Detlef Lohse

We develop a new numerical method for thin plates falling in inviscid fluid that allows for leading-edge vortex shedding. The inclusion of leading-edge shedding restores physical dynamics to vortex-sheet models of falling bodies, and for…

Fluid Dynamics · Physics 2025-10-02 Yu Jun Loo , Silas Alben

We develop a lattice gas model for the drying of droplets of a nanoparticle suspension on a planar surface, using dynamical density functional theory (DDFT) to describe the time evolution of the solvent and nanoparticle density profiles.…

Soft Condensed Matter · Physics 2018-09-03 C. Chalmers , R. Smith , A. J. Archer

Directed motion of liquid droplets is of considerable importance in various industrial processes. Despite extensive advances in this field of research, our understanding and the ability to control droplet dynamics at high temperature remain…

Fluid Dynamics · Physics 2015-12-23 Jing Li , Youmin Hou , Yahua Liu , Chonglei Hao , Minfei Li , Manoj K. Chaudhury , Shuhuai Yao

We study the time dependency of the (average) interfacial separation between an elastic solid with a flat surface and a rigid solid with a randomly rough surface, squeezed together in a fluid. We use an analytical theory describing the…

Soft Condensed Matter · Physics 2015-05-27 B. Lorenz , B. N. J. Persson

Wetting of micropatterned surfaces is ubiquitous in nature and key to many technological applications like spray cooling, inkjet printing, and semiconductor processing. Overcoming the intrinsic, chemistry- and topography-governed wetting…

Soft Condensed Matter · Physics 2025-04-01 Ze Xu , Raphael Saiseau , Olinka Ramírez Soto , Stefan Karpitschka

When a liquid droplet impacts a hot solid surface, enough vapor may be generated under it as to prevent its contact with the solid. The minimum solid temperature for this so-called Leidenfrost effect to occur is termed the Leidenfrost…

Pattern formation inside a liquid phase is a phenomenon involved in many different aspects of life on our planet. The droplet form of a liquid that evaporates can reveal patterns that depend on the chemistry of the droplet and the physical…

Soft Condensed Matter · Physics 2024-09-12 Vahid Nasirimarekani

We study the hydrodynamic mechanisms involved in the motion of the contact line formed at the end region of a liquid filament laying on a planar and horizontal substrate. Since the flow develops under partially wetting conditions, the tip…

Fluid Dynamics · Physics 2017-05-31 Pablo D. Ravazzoli , Ingrith P. Cuellar , Alejandro G. González , Javier A. Diez

We prove the invariance of the contact angle in liquid-solid wetting phenomena : an electrified droplet is spreading on a solid surface. The drop is minimizing its energy. We express the differential of this energy with respect to the shape…

Classical Analysis and ODEs · Mathematics 2007-07-19 C. Scheid , P. Witomski

Recently, there has been much interest in using lubricated flat and nano-/micro-structured surfaces to achieve extreme liquid-repellency: any foreign droplet immiscible with the underlying lubricant layer was shown to slide off at a small…

Fluid Dynamics · Physics 2017-07-26 Dan Daniel , Jaakko V. I. Timonen , Ruoping Li , Seneca J. Velling , Joanna Aizenberg

We present a modification of a recently developed volume of fluid method for multiphase problems, so that it can be used in conjunction with a fractional step-method and fast Poisson solver, and validate it with standard benchmark problems.…

Fluid Dynamics · Physics 2018-07-06 Marco Edoardo Rosti , Francesco De Vita , Luca Brandt
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