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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

Using density functional theory we calculate the density profiles of a binary solvent adsorbed around a pair of big solute particles. All species interact via repulsive Gaussian potentials. The solvent exhibits fluid-fluid phase separation…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer , R. Evans , R. Roth , M. Oettel

We numerically examine the properties of a two-dimensional system of particles which have competing long range repulsive and short range attractive interactions as a function of density and temperature. For increasing density, there are…

Soft Condensed Matter · Physics 2015-05-18 C. J. Olson Reichhardt , C. Reichhardt , A. R. Bishop

The fluid-fluid interface is a complex environment for a floating object where the statics and dynamics may be governed by capillarity, gravity, inertia, and other external body forces. Yet, the alignment of these forces in intricate ways…

We study the equilibrium solutions of a sessile drop on top of a horizontal substrate when it is partially covered by another inmiscible liquid, so that part of the drop is in contact with a third fluid (typically, air). The shapes of the…

Fluid Dynamics · Physics 2022-11-11 Pablo D. Ravazzoli , Alejandro G. González , Javier A. Diez

By solving the Young Laplace equation of capillary hydrostatics one can accurately determine equilibrium shapes of droplets on relatively smooth solid surfaces. The solution, however of the Young Laplace equation becomes tricky when a…

Soft Condensed Matter · Physics 2013-06-05 Nikolaos T. Chamakos , Michail E. Kavousanakis , Athanasios G. Papathanasiou

We use confocal microscopy to directly visualize the simultaneous flow of both a wetting and a non-wetting fluid through a model three-dimensional (3D) porous medium. We find that, for small flow rates, both fluids flow through unchanging,…

Soft Condensed Matter · Physics 2014-06-30 Sujit S. Datta , Jean-Baptiste Dupin , David A. Weitz

We propose a continuum theory of the liquid-liquid phase separation in an elastic network where phase-separated microscopic droplets rich in one fluid component can form as an interplay of fluids mixing, droplet nucleation, network…

Soft Condensed Matter · Physics 2021-01-04 Xuefeng Wei , Jiajia Zhou , Yanting Wang , Fanlong Meng

Collisions between a stream of drops and a continuous jet of a different liquid are experimentally investigated. In contrast to previous studies, our work focuses on the effects of liquid miscibility and wettability on the collision…

Microdrop impact and spreading phenomena are explored as an interface formation process using a recently developed computational framework. The accuracy of the results obtained from this framework for the simulation of high deformation…

Fluid Dynamics · Physics 2015-06-04 J. E. Sprittles , Y. D. Shikhmurzaev

Motivated by recent experiments on biomimetic membranes exposed to several aqueous phases, we theoretically study the morphology of a membrane in contact with a liquid droplet formed via aqueous phase separation. We concentrate on membranes…

Soft Condensed Matter · Physics 2012-02-07 Halim Kusumaatmaja , Reinhard Lipowsky

We use microscopic density functional theory to study filling transitions in systems with long-ranged wall-fluid and short-ranged fluid-fluid forces occurring in a right-angle wedge. By changing the strength of the wall-fluid interaction we…

Statistical Mechanics · Physics 2016-05-04 Alexandr Malijevský , Andrew O. Parry

We study the dynamic properties of a model for wetting with two competing adsorbates on a planar substrate. The two species of particles have identical properties and repel each other. Starting with a flat interface one observes the…

Statistical Mechanics · Physics 2009-04-09 Christian Gogolin , Christian Meltzer , Marvin Willers , Haye Hinrichsen

We use density functional theory to investigate adsorption of liquid mixtures on solid surfaces modified with end-grafted chains. The chains are modelled as freely joined spheres. The fluid molecules are spherical. All spherical species…

Soft Condensed Matter · Physics 2016-03-08 M. Borówko , T. Staszewski

Liquid structure at solid-liquid interfaces is critical for many natural and engineered processes ranging from biological signal transduction to electrochemical energy conversion. Advanced experimental and computational methods have…

This paper investigates the properties of a three dimensional shear flow overpassing a hemispherical droplet resting on a plane wall. The exact solution is computed as a function of the viscosity ratio between the droplet and the…

Soft Condensed Matter · Physics 2009-01-27 K. Sugiyama , M. Sbragaglia

We study equilibrium states of a drop between flexible sheets clamped on both ends. Revisiting first the case of parallel sheets, we find multiple equilibria which we classify in a parameter space. In solution branching diagrams we identify…

Soft Condensed Matter · Physics 2024-07-12 Mouad Boudina , Gwynn J. Elfring

We consider a nano-patterned planar wall consisting of a periodic array of stripes of width $L$, which are completely wet by liquid (contact angle $\theta=0$), separated by regions of width $D$ which are completely dry (contact angle…

Statistical Mechanics · Physics 2019-10-02 Martin Pospisil , Martin Láska , Andrew O. Parry , Alexandr Malijevský

We propose a simplified description of fluid adsorption on heterogenenous micropatterned substrates. Using this approach, we are able to rederive results obtained earlier using effective interfacial Hamiltonian methods and predict a number…

Condensed Matter · Physics 2009-11-07 C. Rascon , A. O. Parry

We present a detailed derivation of a microscopic theory for the glass transition of a liquid enclosed between two parallel walls relying on a mode-coupling approximation. This geometry lacks translational invariance perpendicular to the…

Soft Condensed Matter · Physics 2012-08-16 Simon Lang , Rolf Schilling , Vincent Krakoviack , Thomas Franosch