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Related papers: Nonlinear force balance at moving contact lines

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The spreading of a pure, volatile liquid on a wettable substrate has been studied in extensive detail. Here we show that the addition of a miscible, non-volatile liquid can strongly alter the contact line dynamics and the final liquid…

Soft Condensed Matter · Physics 2020-02-19 Asher P. Mouat , Clay E. Wood , Justin E. Pye , Justin C. Burton

Controlling the motion of non-Newtonian drops on surfaces is crucial for applications ranging from inkjet printing to biomedical devices and food processing. While the macroscopic behavior of viscoelastic drops sliding on tilted hydrophobic…

We experimentally study linear and nonlinear waves on the surface of a fluid covered by an elastic sheet where both tension and flexural waves take place. An optical method is used to obtain the full space-time wave field, and the…

Fluid Dynamics · Physics 2014-02-10 Luc Deike , Jean-Claude Bacri , Eric Falcon

In a wide range of applications, microfluidic channels are implemented in soft substrates. In such configurations, where fluidic inertia and compressibility are negligible, the propagation of fluids in channels is governed by a balance…

Fluid Dynamics · Physics 2018-12-07 Evgeniy Boyko , Moran Bercovici , Amir D. Gat

The deformation of a soft substrate by a straight contact line is calculated, and the result applied to a static rivulet between two parallel contact lines. The substrate is supposed to be incompressible (Stokes like description of…

Soft Condensed Matter · Physics 2019-11-05 Laurent Limat

We study the interaction of an elastic beam with a liquid drop in the case where bending and extensional effects are both present. We use a variational approach to derive equilibrium equations and constitutive relation for the beam. This…

Soft Condensed Matter · Physics 2014-04-08 Sébastien Neukirch , Arnaud Antkowiak , Jean-Jacques Marigo

The intricate interaction between the deformability of a substrate and the dynamic spreading of a liquid drop on the same, under the application of an electrical voltage, has remained far from being well understood. Here, we demonstrate…

Fluid Dynamics · Physics 2016-04-27 Ranabir Dey , Ashish Daga , Sunando DasGupta , Suman Chakraborty

The effective interactions between the constituents of driven soft matter generically defy Newton's third law. Combining theory and numerical simulations, we establish that six classes of mechanics with no counterparts in equilibrium…

Soft Condensed Matter · Physics 2022-02-02 Alexis Poncet , Denis Bartolo

When a drop of liquid comes into contact with a solid surface, it relaxes towards an equilibrium configuration, either wetting the surface or remaining in a droplet-like shape with a finite contact angle. The force driving the process…

Soft Condensed Matter · Physics 2025-11-27 Niklas Wolf , Nico van der Vegt

Young's classic analysis of the equilibrium of a three-phase contact line ignores the out-of-plane component of the liquid-vapor surface tension. While it has long been appreciated that this unresolved force must be balanced by elastic…

Soft Condensed Matter · Physics 2015-05-27 Elizabeth R. Jerison , Ye Xu , Larry A. Wilen , Eric R. Dufresne

We consider the physical setup of a three-dimensional fluid-structure interaction problem. A viscous compressible gas or liquid interacts with a nonlinear, visco-elastic, three-dimensional bulk solid. The latter is described by a hyperbolic…

Analysis of PDEs · Mathematics 2021-08-09 Dominic Breit , Malte Kampschulte , Sebastian Schwarzacher

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

Within the framework of a semi-microscopic interface displacement model we analyze the linear stability of sessile ridges and drops of a non-volatile liquid on a homogeneous, partially wet substrate, for both signs and arbitrary amplitudes…

Soft Condensed Matter · Physics 2009-11-13 S. Mechkov , G. Oshanin , M. Rauscher , M. Brinkmann , A. M. Cazabat , S. Dietrich

A solid-liquid-gas moving contact line is considered through a diffuse-interface model with the classical boundary condition of no-slip at the solid surface. Examination of the asymptotic behaviour as the contact line is approached shows…

Fluid Dynamics · Physics 2013-10-07 David N. Sibley , Andreas Nold , Nikos Savva , Serafim Kalliadasis

Measuring the rheology of liquids typically requires precise control over shear rates and stresses. Here, we describe an alternative route for predicting the characteristic features of a power-law fluid by simply observing the capillary…

Fluid Dynamics · Physics 2025-07-11 Marcel Moura , Vanessa Kern , Knut Jørgen Måløy , Andreas Carlson , Eirik G. Flekkøy

We show how dynamical equations for liquid films and drops on uneven surfaces, including contact line dynamics and evaporation/condensation effects, may be formulated as a variational dynamics, generated via Onsager's variational principle.…

Soft Condensed Matter · Physics 2026-05-15 Gyula I Tóth , David N Sibley , Agnes J Bokányi-Tóth , Dmitri Tseluiko , Andrew J Archer

A new formulation of the plasma resistivity that arises from the collisional momentum-transfer rate between electrons and ions is presented. The resistivity computed herein is shown to depend not only on the temperature and density but also…

The wetting of solid surfaces can be manoeuvred by altering the energy balance at the interfacial region. While electric field acts favourably to spread a droplet on a rigid surface, this tendency may be significantly suppressed over soft…

Soft Condensed Matter · Physics 2019-05-07 Sumit Kumar , Pawan Kumar , Sunando DasGupta , Suman Chakraborty

Sessile hydrogel drops on rigid surfaces exhibit wetting/contact morphology intermediate between liquid drops and glass spheres. Using density functional theory, we reveal the contact forces acting between a hydrogel and a rigid glass…

Soft Condensed Matter · Physics 2023-08-30 Priyam Chakraborty , Surjyasish Mitra , A-Reum Kim , Boxin Zhao , Sushanta K. Mitra

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