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The physics of an electron solid, held on a cryogenic liquid surface by a pressing electric field, is examined in a low-density regime that has not been explored before. We consider the effect of the pressing field in distorting the surface…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Masudul Haque , Indranil Paul , Sergey Pankov

Consider the dynamics of a layer of viscous incompressible fluid under the influence of gravity. The upper boundary is a free boundary with the effect of surface tension taken into account, and the lower boundary is a fixed boundary on…

Analysis of PDEs · Mathematics 2019-11-12 Yanjin Wang , Zhouping Xin

We consider a liquid drop sitting on a rough solid surface at equilibrium, a volume constrained minimizer of the total interfacial energy. The large-scale shape of such a drop strongly depends on the micro-structure of the solid surface.…

Analysis of PDEs · Mathematics 2016-12-22 William M. Feldman , Inwon C. Kim

We describe a tensorial generalization of the Navier slip boundary condition and illustrate its use in solving for flows around anisotropic textured surfaces. Tensorial slip can be derived from molecular or microstructural theories or…

Fluid Dynamics · Physics 2015-05-13 Martin Z. Bazant , Olga I. Vinogradova

A liquid drop impacting a non-wetting rigid substrate laterally spreads, then retracts, and finally jumps off again. An elastic solid, by contrast, undergoes a slight deformation, contacts briefly, and bounces. The impact force on the…

Soft Condensed Matter · Physics 2026-04-06 Saumili Jana , John Kolinski , Detlef Lohse , Vatsal Sanjay

The behavior of an elastic curve bound to a surface will reflect the geometry of its environment. This may occur in an obvious way: the curve may deform freely along directions tangent to the surface, but not along the surface normal.…

Soft Condensed Matter · Physics 2014-08-18 Jemal Guven , Dulce María Valencia , Pablo Vázquez-Montejo

We investigate the rapid spreading dynamics of a viscoelastic drop on a solid. Upon contact, surface tension drives a fast motion of the contact line along the substrate. Here, we resolve this motion for viscoelastic liquids by experiments…

Fluid Dynamics · Physics 2022-06-22 Ambre Bouillant , Pim J. Dekker , Michiel A. Hack , Jacco H. Snoeijer

The lubricated motion of an object near a deformable boundary presents striking subtleties arising from the coupling between the elasticity of the boundary and lubricated flow, including but not limited to the emergence of a lift force…

Soft Condensed Matter · Physics 2025-10-08 Aditya Jha , Yacine Amarouchene , Thomas Salez

We consider a coupled system of partial differential equations describing the interactions between a closed free interface and two viscous incompressible fluids. The fluids are assumed to satisfy the incompressible Navier-Stokes equations…

Optimization and Control · Mathematics 2023-08-01 Sebastien Court

Based on a potential theoretical approach, the subsurface stress field is calculated for an elastic-half space, which is subject to normal and uniaxial tangential surface tractions that - in the case of elastic decoupling - correspond to…

Materials Science · Physics 2023-10-13 Emanuel Willert

The influence of the external pressure and surface energy on the wetting transition at nanotextured interfaces is studied using molecular dynamics and continuum simulations. The surface roughness of the composite interface is introduced via…

Soft Condensed Matter · Physics 2018-07-12 Bishal Bhattarai , Nikolai V. Priezjev

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

The slip of a fluid layer in contact with a solid confining surface is investigated for different temperatures and densities using molecular dynamic simulations. We show that for an anomalous water-like fluid the slip goes as follows: for…

Soft Condensed Matter · Physics 2018-03-21 Patricia Ternes , Evy Salcedo , Marcia C. Barbosa

The experiment shows that small liquid droplets under the action of gravity and the Archimedes force move in the external viscous liquid practically according to the Stokes drag force equation, and not in accordance with the…

Fluid Dynamics · Physics 2025-02-11 Peter Lebedev-Stepanov

This paper is concerned with the diffusion of a fluid through a viscoelastic solid undergoing large deformations. Using ideas from the classical theory of mixtures and a thermodynamic framework based on the notion of maximization of the…

Computational Engineering, Finance, and Science · Computer Science 2015-03-17 Satish Karra

"Granular elasticity," useful for calculating static stress distributions in granular media, is generalized by including the effects of slowly moving, deformed grains. The result is a hydrodynamic theory for granular solids that agrees well…

Soft Condensed Matter · Physics 2009-11-13 Yimin Jiang , Mario Liu

Understanding the influence of hydrodynamic stresses and colloidal interactions between droplets and membranes will inform better engineered membrane surfaces and process conditions. Using a long-wave hydrodynamic description that…

Fluid Dynamics · Physics 2020-04-03 Mariano Galvagno , Guy Z. Ramon

A theory for the non-local stress in liquids captures the crossover from viscous to elastic correlations upon supercooling. It explains the emergence of long-ranged stress fields in glass which originate from the coupling of shear stress to…

Soft Condensed Matter · Physics 2022-05-03 Annette Zippelius , Matthias Fuchs

We study the influence of surface roughness on the adhesion of elastic solids. Most real surfaces have roughness on many different length scales, and this fact is taken into account in our analysis. We consider in detail the case when the…

Materials Science · Physics 2009-11-07 B. N. J. Persson , E. Tosatti

A small drop of a heavier fluid may float on the surface of a lighter fluid supported by surface tension forces. In equilibrium, the drop assumes a radially symmetric shape with a circular triple-phase contact line. We show theoretically…

Fluid Dynamics · Physics 2021-07-27 Andrey Pototsky , Alexander Oron , Michael Bestehorn