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Related papers: Contact line stability of ridges and drops

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This article is concerned with the dynamic behaviour of two immiscible and incompressible fluids in a cylindrical domain, which are separated by a sharp interface. In case that the heavy fluid is situated on top of the light fluid, one…

Analysis of PDEs · Mathematics 2017-03-16 Mathias Wilke

Breakup of water jets under gravity is a common-place phenomenon. The role of surface tension in the instability of water jets was recognized by Rayleigh and the theory propounded goes by the name of Plateau-Rayleigh theory. The necks and…

Fluid Dynamics · Physics 2017-06-07 Wellstandfree K Bani , Mangal C. Mahato

The impact of liquid drops on a rigid surface is central in cleaning, cooling and coating processes in both nature and industrial applications. However, it is not clear how details of pores, roughness and texture on the solid surface…

We perform a thermodynamic analysis of various contributions to the size dependence of the contact-angle cosine for both axisymmetric and cylindrical sessile droplets. This shows that a commonly used method to determine the line tension…

Soft Condensed Matter · Physics 2025-03-31 Dmitry V. Tatyanenko , Konstantin D. Apitsin

Boundary conditions at a liquid-solid interface are crucial to dynamics of a liquid film coated on a fibre. Here a theoretical framework based on axisymmetric Stokes equations is developed to explore the influence of liquid-solid slip on…

Fluid Dynamics · Physics 2023-01-25 Chengxi Zhao , Yixin Zhang , Ting Si

We present a theoretical and numerical study on the (in)stability of the interface between two immiscible liquids, i.e., viscous fingering, in angled Hele-Shaw cells across a range of capillary numbers ($Ca$). We consider two types of…

Fluid Dynamics · Physics 2020-03-06 Daihui Lu , Federico Municchi , Ivan C. Christov

In this paper we study the morphology of drops formed on partially wetting substrates, whose footprint is not circular. This type of drops is a consequence of the breakup processes occurring in thin films when anisotropic contact line…

Fluid Dynamics · Physics 2016-05-04 Pablo D. Ravazzoli , Alejandro G. González , Javier A. Diez

A coarse grained description of a two phase fluid is used to study the steady state configuration of the interface separating the coexisting phases, and the motion of the contact line at which the interface intersects a solid boundary. The…

Statistical Mechanics · Physics 2009-10-31 Hsuan-Yi Chen , David Jasnow , Jorge Vinals

We study a spontaneous relaxation dynamics of arbitrarily shaped liquid drops on solid surfaces in the partial wetting regime. It is assumed that the energy dissipated near the contact line is much larger than that in the bulk of the fluid.…

Fluid Dynamics · Physics 2016-01-27 S. Iliev , N. Pesheva , Vadim Nikolayev

We experimentally show that, unlike the solid-solid frictional force, the solid-liquid retention force is determined by interactions at the triple line rather than over the solid-liquid contact area, as predicted by theory. We have prepared…

Soft Condensed Matter · Physics 2023-06-16 Rafael de la Madrid , Caleb Gregory , Huy Luong , Tyler Stuck

The contact angle of a fluid droplet on an heterogeneous surface is analysed using the statistical dynamics of the spreading contact line. The statistical properties of the final droplet radius and contact angle are obtained through…

Soft Condensed Matter · Physics 2015-06-05 Mikko J. Alava , Martin Dube

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

Electrohydrodynamic instabilities of fluid-fluid interfaces can be exploited in various microfluidic applications in order to enhance mixing, replicate well-controlled patterns or generate drops of a particular size. In this work, we study…

Fluid Dynamics · Physics 2021-06-29 Mohammadhossein Firouznia , David Saintillan

We explore flow of a completely wetting fluid in a funnel, with particular focus on contact line instabilities at the fluid front. While the flow in a funnel may be related to a number of other flow configurations as limiting cases,…

Fluid Dynamics · Physics 2023-06-13 T. -S. Lin , J. A. Dijksman , L. Kondic

We consider the time evolution of a sessile drop of volatile partially wetting liquid on a rigid solid substrate. Thereby, the drop evaporates under strong confinement, namely, it sits on one of the two parallel plates that form a narrow…

Fluid Dynamics · Physics 2023-08-11 S. Hartmann , C. Diddens , M. Jalaal , U. Thiele

Physical experiments show that a capillary water jet is exponentially unstable under long wave perturbations, while remaining stable under short wave perturbations. Measurements indicate that the exponential growth rate in the long wave…

Analysis of PDEs · Mathematics 2026-03-13 Chengyang Shao , Haocheng Yang

An example of capillary phenomena commonly seen and often studied is a droplet of water hanging in air from a horizontal surface. A thin capillary surface interface between the liquid and gas develops tangential surface tension, which…

Fluid Dynamics · Physics 2019-04-09 Dale G. Karr

When a liquid drop strikes a deep pool of a second liquid, an impact crater opens while the liquid of the drop decelerates and spreads on the surface of the crater. If the density of the drop is larger than the surrounding, the interface…

Fluid Dynamics · Physics 2020-12-21 V. Lherm , R. Deguen , T. Alboussière , M. Landeau

In recent decades novel solid substrates have been designed which change their wettability in response to light or an electrostatic field. Here, we investigate a droplet on substrates with oscillating uniform wettability by varying minimium…

Fluid Dynamics · Physics 2021-10-28 Josua Grawitter , Holger Stark

Superhydrophobicity relies on the stability of drops's interfaces pinned on sharp edges to sustain non-wetting (Cassie-Baxter) equilibrium states. Gibbs already pointed out that equilibrium is possible as long as the pinning angle at the…

Fluid Dynamics · Physics 2019-08-26 José Graña Otero , Ignacio E. Parra Fabián