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Gradient, chemically modified, flat surfaces enable directed transport of droplets. Calculation of apparent contact angles inherent for gradient surfaces is challenging even for atomically flat ones. Wetting of gradient, flat solid surfaces…

Fluid Dynamics · Physics 2018-01-16 Edward Bormashenko

Wettability is the affinity of a liquid for a solid surface. For energetic reasons, macroscopic drops of liquid are nearly spherical away from interfaces with solids, and any local deformations due to molecular-scale surface interactions…

Mesoscale and Nanoscale Physics · Physics 2017-11-27 Ronaldo Giro , Peter W. Bryant , Michael Engel , Rodrigo F. Neumann , Mathias Steiner

The impact of a heavier droplet into a deep pool of lighter liquid is investigated using three-dimensional numerical simulations. Unprecedented to any numerical simulations, we demonstrate that the heavier droplets can hang from the surface…

Fluid Dynamics · Physics 2023-03-29 Piyush Singh , Anikesh Pal , Narinder Singh

The wetting of soft elastic substrates exhibits many features that have no counterpart on rigid surfaces. Modelling the detailed elastocapillary interactions is challenging, and has so far been limited to single contact lines or single…

Fluid Dynamics · Physics 2023-08-11 Christopher Henkel , Jacco H. Snoeijer , Uwe Thiele

In Molecular Dynamics (MD) simulations, interactions between water molecules and graphitic surfaces are often modeled as a simple Lennard-Jones potential between oxygen and carbon atoms. A possible method for tuning this parameter consists…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Giulio Scocchi , Danilo Sergi , Claudio D'Angelo , Alberto Ortona

We propose diagrams representing the equilibrium morphologies of two immiscible liquid droplets brought into contact. We study the dependence of the shape of the droplets on the surface tensions and ratio of volumes. We study theoretically…

Soft Condensed Matter · Physics 2014-09-25 J. Guzowski , P. Garstecki , P. Korczyk

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

In this paper, a novel method for the measurement of equilibrium contact angle of highly volatile binary liquids is proposed. The proposed method, which combines finite element method and energy equilibration, is able to calculate the…

Soft Condensed Matter · Physics 2019-08-02 K Nilavarasi , V. Madhurima

Droplet impact on solid surfaces is a fluid phenomenon widely involved in additive manufacturing, heat management, and coating, in which the ability to exert control over the impact dynamics and duration is critical. While past studies have…

Fluid Dynamics · Physics 2023-02-14 Hussein Dalgamoni , Xin Yong

The interfacial tension of a liquid droplet surrounded by another liquid in the presence of microscopic ions is studied as a function of the droplet radius. An analytical expression for the interfacial tension is obtained within a linear…

Soft Condensed Matter · Physics 2011-09-14 Markus Bier , Joost de Graaf , Jos Zwanikken , Rene van Roij

We consider the problem of a cylindrical (quasi-two-dimensional) droplet impacting on a hard surface. Cylindrical droplet impact can be engineered in the laboratory, and a theoretical model of the system can also be used to shed light on…

Fluid Dynamics · Physics 2026-01-14 Lennon Ó Náraigh , Nicola Young

Droplets deform soft substrates near their contact lines. Using confocal microscopy, we measure the deformation of silicone gel substrates due to glycerol and fluorinated-oil droplets for a range of droplet radii and substrate thicknesses.…

Soft Condensed Matter · Physics 2015-03-13 Robert W. Style , Yonglu Che , John. S. Wettlaufer , Larry A. Wilen , Eric R. Dufresne

The evaporation of sessile drops in quiescent air is usually governed by vapour diffusion. For contact angles below $90^\circ$, the evaporative flux from the droplet tends to diverge in the vicinity of the contact line. Therefore, the…

Fluid Dynamics · Physics 2012-12-18 Hanneke Gelderblom , Oscar Bloemen , Jacco H. Snoeijer

Oscillating shape motion of a freely falling water droplet has long fascinated and inspired scientists. We propose dynamic non-linear equations for closed, two dimensional surfaces in gravity and apply it to analyze shape dynamics of freely…

Fluid Dynamics · Physics 2018-02-22 David V. Svintradze

Accurate prediction of the natural frequency for the lateral oscillation of a liquid drop pinned on a vertical planar surface is important to many drop applications. The natural oscillation frequency, normalized by the capillary frequency,…

Fluid Dynamics · Physics 2023-11-16 Jordan Sakakeeny , C. Deshpande , S. Deb , Jorge L. Alvarado , Yue Ling

Liquid drops on soft solids generate strong deformations below the contact line, resulting from a balance of capillary and elastic forces. The movement of these drops may cause strong, potentially singular dissipation in the soft solid.…

Fluid Dynamics · Physics 2016-03-25 S. Karpitschka , S. Das , M. van Gorcum , H. Perrin , B. Andreotti , J. H. Snoeijer

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…

Soft Condensed Matter · Physics 2017-05-24 Masao Iwamatsu

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…

Soft Condensed Matter · Physics 2008-03-18 R. Garcia , K. Osborne , E. Subashi

A density functional for the lattice gas (Ising model) from fundamental measure theory is applied to the problem of droplet states in three-dimensional, finite systems. Similar to previous simulation studies, the sequence of droplets…

Statistical Mechanics · Physics 2021-09-29 Manuel Maeritz , Martin Oettel

The steady state motion of cylindrical droplets under the action of external body force is investigated both theoretically and via lattice Boltzmann simulation. As long as the shape-invariance of droplet is maintained, the droplet's…

Soft Condensed Matter · Physics 2011-02-11 Nasrollah Moradi , Fathollah Varnik , Ingo Steinbach