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Thin viscous liquid films driven by capillarity are well described in the lubrication theory through the thin film equation. In this article, we present an analytical solution of this equation for a particular initial profile: a stepped…

Soft Condensed Matter · Physics 2015-06-11 Thomas Salez , Joshua D. McGraw , Oliver Bäumchen , Kari Dalnoki-Veress , Élie Raphaël

Manipulation of small-scale particles across streamlines is the elementary task of microfluidic devices. Many such devices operate at very low Reynolds numbers and deflect particles using arrays of obstacles, but a systematic quantification…

Fluid Dynamics · Physics 2025-03-19 Xuchen Liu , Partha Kumar Das , Sascha Hilgenfeldt

An efficient way to precisely pattern particles on solid surfaces is to dispense and evaporate colloidal drops, as for bioassays. The dried deposits often exhibit complex structures exemplified by the coffee ring pattern, where most…

Fluid Dynamics · Physics 2015-05-20 Rajneesh Bhardwaj , Xiaohua Fang , Daniel Attinger

The description of molecular motion by macroscopic hydrodynamics has a long and continuing history. The Stokes-Einstein relation between the diffusion coefficient of a solute and the solvent viscosity predicted using macroscopic continuum…

Disordered Systems and Neural Networks · Physics 2007-05-23 Xiaoyu Xia , Peter G. Wolynes

Non-isothermal particles suspended in a fluid lead to complex interactions -- the particles respond to changes in the fluid flow, which in turn is modified by their temperature anomaly. Here, we perform a novel proof-of-concept numerical…

Fluid Dynamics · Physics 2022-12-06 Lokahith Agasthya , Andreas Bartel , Luca Biferale , Matthias Ehrhardt , Federico Toschi

The deformation of an elastic micro-capsule in an infinite shear flow is studied numerically using a spectral method. The shape of the capsule and the hydrodynamic flow field are expanded into smooth basis functions. Analytic expressions…

Soft Condensed Matter · Physics 2008-09-03 S. Kessler , R. Finken , U. Seifert

In this study we present an interferometric technique based on multiple wavelengths to capture the transient free surface contour of nanoliter drops spreading on a wettable surface, in particular close to the three-phase contact line.…

Fluid Dynamics · Physics 2024-12-24 Timo Richter , Mathis Fricke , Peter Stephan , Cameron Tropea , Jeanette Hussong

A novel way to handle surface tension gradient driven flows is developed in the volume-of-fluid (VoF) framework. Using an open source Navier-Stokes solver, {\it Basilisk}, and the present formulation, we investigate thermocapillary…

Fluid Dynamics · Physics 2018-06-19 Manoj Kumar Tripathi , Kirti Chandra Sahu

Fluid instabilities are ubiquitous phenomena of great theoretical and applied importance. In particular, an intriguing example is the thermocapillary or B\'enard-Marangoni instability which occurs when a thin horizontal fluid layer, whose…

Fluid Dynamics · Physics 2023-06-16 Renzo Guido , Mateo Dutra , Martín Monteiro , Arturo C. Marti

The computation of damping rates of an oscillating fluid with a free surface in which viscosity is small and surface tension high is numerically challenging. A typical application requiring such computation is drop-on-demand (DoD)…

Computational Physics · Physics 2024-12-11 Søren Taverniers , Svyatoslav Korneev , Christoforos Somarakis , Morad Behandish , Adrian J. Lew

Experimental and modeling/simulation studies of phase equilibrium and growth morphologies of novel polymer-dispersed liquid crystal (PDLC) mixtures of PS (polystyrene) and liquid crystals that exhibit a direct isotropic/smectic-A (lamellar)…

Soft Condensed Matter · Physics 2015-05-13 Ezequiel R. Soule , Nasser Mohieddin Abukhdeir , Alejandro D. Rey

Capillarity always favors drop fusion. Nevertheless sessile drops from different but completely miscible liquids often do not fuse instantaneously upon contact. Rather, intermediate non-coalescence is observed. Two separate drop bodies,…

Fluid Dynamics · Physics 2016-03-25 Stefan Karpitschka , Hans Riegler

In the present paper the behavior of a single artificial microswimmer is addressed, namely an active droplet moving by Marangoni flow. The non-uniform surface tension distribution underlying the propulsion mechanism of the droplet, is…

Computational Physics · Physics 2017-09-13 Laura Stricker

A quasi 2-dimensional recursive lattice formed by planar elements have been designed to investigate the surface thermodynamics of Ising spin glass system with the aim to study the metastability of supercooled liquids and the ideal glass…

Statistical Mechanics · Physics 2015-02-24 Ran Huang , Purushottam D. Gujrati

The interface between a pure liquid and its vapor is usually close to saturation temperature, hence strongly hindering any thermocapillary flow. In contrast, when the gas phase contains an inert gas such as air, surface-tension-driven…

Fluid Dynamics · Physics 2012-01-31 Fabien Chauvet , Sam Dehaeck , Pierre Colinet

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

Liquid flow in sessile evaporating droplets of ultrapure water typically results from two main contributions: a capillary flow pushing the liquid towards the contact line from the bulk and a thermal Marangoni flow pulling the drop free…

Fluid Dynamics · Physics 2025-03-05 Massimiliano Rossi , Alvaro Marin , Christian Kaehler

Experiments indicate that microdroplets undergoing micellar solubilization in the bulk of surfactant solution may excite Marangoni flows and self-propel spontaneously. Surprisingly, self-propulsion emerges even when the critical micelle…

Fluid Dynamics · Physics 2020-06-09 Matvey Morozov

The coupled dynamics of two conjugated liquid layers of disparate thicknesses, which coat a solid substrate and are subjected to a transverse temperature gradient, is investigated. The upper liquid layer evolves under the short-wavelength…

Fluid Dynamics · Physics 2016-05-04 Iman Nejati , Mathias Dietzel , Steffen Hardt

We report a series of experiments carried out with a dichloromethane drop deposited on the surface of an aqueous solution containing a surfactant, cetyltrimethylammonium bromide. After an induction stage during which the drop stays…

Fluid Dynamics · Physics 2022-03-30 Dolachai Boniface , Julien Sebilleau , Jacques Magnaudet , Véronique Pimienta