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We investigate compound drops composed of two immiscible nonvolatile partially wetting liquids that slide down an inclined homogeneous smooth solid substrate based on a mesoscopic hydrodynamic two-layer model in full-curvature formulation.…

Fluid Dynamics · Physics 2026-03-30 Dominik Thy , Jan Diekmann , Uwe Thiele

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

The transport of small quantities of liquid on a solid surface is inhibited by the resistance to motion caused by the contact between the liquid and the solid. To overcome such resistance, motion can be externally driven through gradients…

We consider the spreading of a thin two-dimensional droplet on a planar substrate as a prototype system to compare the contemporary model for contact line motion based on interface formation of Shikhmurzaev [Int. J. Multiphas. Flow 19, 589…

Fluid Dynamics · Physics 2012-08-17 David N. Sibley , Nikos Savva , Serafim Kalliadasis

We present a study of the spreading of liquid droplets on a solid substrate at very small scales. We focus on the regime where effective wetting energy (binding potential) and surface tension effects significantly influence steady and…

Fluid Dynamics · Physics 2017-02-15 Hanyu Yin , David N. Sibley , Uwe Thiele , Andrew J. Archer

Ice accumulation hinders the performance of, and poses safety threats for infrastructure both on the ground and in the air. Previously, rationally designed superhydrophobic surfaces have demonstrated some potential as a passive means to…

Soft Condensed Matter · Physics 2018-09-10 Thomas Vasileiou , Thomas M. Schutzius , Dimos Poulikakos

A droplet of millimeter-to-centimeter scale can exhibit electrostatic levitation, and such levitated droplets can be used for the measurement of the surface tension of the liquids by observing the characteristic frequency of oscillatory…

The understanding of sliding friction for wet, patterned surfaces from first principles is challenging. While emerging applications have sought design principles from biology, a general framework is lacking because soft interfaces…

Soft Condensed Matter · Physics 2021-04-14 Yunhu Peng , Christopher M. Serfass , Catherine N. Hill , Lilian C. Hsiao

Pinning and depinning of drops on an inclined heterogeneous substrate is studied as a function of the inclination and heterogeneity amplitude. Two types of heterogeneity are considered: a hydrophobic defect that blocks the droplet in front,…

Fluid Dynamics · Physics 2013-03-25 Uwe Thiele , Edgar Knobloch

We employ a free energy lattice Boltzmann method to study the dynamics of a ternary fluid system consisting of a liquid drop driven by a body force across a regularly textured substrate, infused by a lubricating liquid. We focus on the case…

Soft Condensed Matter · Physics 2018-05-21 Muhammad Subkhi Sadullah , Ciro Semprebon , Halim Kusumaatmaja

A filament of liquid is usually unstable and breaks up into small droplets, while a filament of polymer solution is known to be quite stable against such instability, and they form a stable configuration of filament connecting two spherical…

Soft Condensed Matter · Physics 2020-08-20 Jiajia Zhou , Masao Doi

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

The self-sustained motion of fluids on gradient substrates is a spectacular phenomenon, which can be employed and controlled in applications by carefully engineering the substrate properties. Here, we report on a design of a gel substrate…

Fluid Dynamics · Physics 2024-08-22 R. Kajouri , P. E. Theodorakis , A. Milchev

The motion of submerged magnetic microspheres rolling at a glass-water interface has been studied using magnetic rotation and optical tweezers combined with bright-field microscopy particle tracking techniques. Individual microspheres of…

Optics · Physics 2008-09-15 Rodney R. Agayan , Ron G. Smith , Raoul Kopelman

The shapes of liquid polystyrene (PS) droplets on viscoelastic polydimethylsiloxane (PDMS) substrates are investigated experimentally using atomic force microscopy for a range of droplet sizes and substrate elasticities. These shapes, which…

Soft Condensed Matter · Physics 2024-12-24 Khalil Remini , Leonie Schmeller , Dirk Peschka , Barbara Wagner , Ralf Seemann

When a volatile droplet is deposited on a floating swellable sheet, it becomes asymmetric, lobed and mobile. We describe and quantify this phenomena that involves nonequilibrium swelling, evaporation and motion, working together to realize…

Soft Condensed Matter · Physics 2020-07-01 Aditi Chakrabarti , Gary P. T. Choi , L. Mahadevan

A mesoscopic continuum model is employed to analyse the transport mechanisms and structure formation during the redistribution stage of deposition experiments where organic molecules are deposited on a solid substrate with periodic…

Mesoscale and Nanoscale Physics · Physics 2018-07-24 Christoph Honisch , Te-Sheng Lin , Andreas Heuer , Uwe Thiele , Svetlana Gurevich

Rivulets and droplets are naturally appearing shapes when small amounts of liquid are deposited on a partially wettable substrate. Here we study, by means of numerical simulations, the dewetting dynamics of a ring-rivulet on substrates with…

Fluid Dynamics · Physics 2026-02-09 Stefan Zitz , Andrea Scagliarini , Johan Roenby

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

Many complex wetting behaviors of fibrous materials are rooted in the behaviors of individual droplets attached to pairs of fibers. Here, we study the splitting of a droplet held between the tips of two cylindrical fibers. We discover a…

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