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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

Brownian motion (BM) is pivotal in natural science for the stochastic motion of microscopic droplets. In this study, we investigate BM driven by thermal composition noise at sub-micro scales, where inter-molecular diffusion and surface…

Fluid Dynamics · Physics 2025-02-26 Haodong Zhang , Fei Wang , Lorenz Ratke , Britta Nestler

We study the time evolution of a thin liquid film coating the outer surface of a sphere in the presence of gravity, surface tension and thermal gradients. We derive the fourth-order nonlinear partial differential equation that models the…

Soft Condensed Matter · Physics 2017-08-02 Di Kang , Ali Nadim , Marina Chugunova

Marangoni condensation - where surface tension gradients induce instabilities that lead to condensate film breakup into discrete droplets - has traditionally been thought of being restricted to 'positive' binary mixtures, where the less…

Fluid Dynamics · Physics 2026-05-14 Abenezer Abere , Patricia B. Weisensee

The idea of working with a near-critical phase-separated liquid mixture whereby the surface tension becomes weak, has recently made the field of laser manipulation of liquid interfaces a much more convenient tool in practice. The…

Optics · Physics 2009-11-10 Aslak Hallanger , Iver Brevik , Skjalg Haaland , Roger Sollie

Theoretical description and numerical simulation of an evaporating sessile drop are developed. We jointly take into account the hydrodynamics of an evaporating sessile drop, effects of the thermal conduction in the drop and the diffusion of…

Fluid Dynamics · Physics 2009-04-02 L. Yu. Barash , T. P. Bigioni , V. M. Vinokur , L. N. Shchur

We study two-dimensional, stationary square and hexagonal patterns in the thermocapillary deformational thin-film model for the fluid height $h$\begin{equation*} \partial_t h+\nabla\cdot\left(h^3\left(\nabla\Delta h-g\nabla…

Analysis of PDEs · Mathematics 2025-06-25 Stefano Böhmer , Bastian Hilder , Jonas Jansen

Viscous hydrodynamic flow in a small, slowly evaporating, sessile hemispherical droplet with a pinned contact line is considered. Analytical solutions are obtained for the Deegan outward flow, which is responsible for the coffee ring…

Fluid Dynamics · Physics 2026-02-16 Peter Lebedev-Stepanov

The Marangoni contraction of sessile droplets occurs when a binary mixture of volatile liquids is placed on a high-energy surface. Although the surface is wetted completely by the mixture and its components, a quasi-stationary non-vanishing…

Fluid Dynamics · Physics 2022-02-01 Olinka Ramirez-Soto , Stefan Karpitschka

The deformation of a fluid-fluid interface due to the thermocapillary stress induced by a continuous Gaussian laser wave is investigated analytically. We show that the direction of deformation of the liquid interface strongly depends on the…

Soft Condensed Matter · Physics 2012-03-12 Hamza Chraibi , Jean-Pierre Delville

We report an experimental, numerical and theoretical study of the motion of a ball on a rough inclined surface. The control parameters are $D$, the diameter of the ball, $\theta$, the inclination angle of the rough surface and $E_{ki}$, the…

Soft Condensed Matter · Physics 2009-10-30 C. Henrique , M. A. Aguirre , A. Calvo , I. Ippolito , S. Dippel , G. G. Batrouni , D. Bideau

We investigate the thermo solutal transport phenomena and deposition patterns during the evaporation of surfactant laden droplets experimentally and through theoretical scaling based analysis. Experiments were conducted using the sessile…

Fluid Dynamics · Physics 2026-04-17 Randeep Ravesh , A R Harikrishnan , Purbarun Dhar

Theoretical models of evaporating droplets predict Marangoni flows orders of magnitude faster than those observed experimentally. While this discrepancy is often attributed to surface contamination, the underlying mechanism by which…

Surface-tension-related phenomena have fascinated researchers for a long time, and the mathematical description pioneered by Young and Laplace opened the door to their systematic study. The time scale on which surface-tension-driven motion…

Fluid Dynamics · Physics 2007-05-23 Jens Eggers

In the present study, we investigate the cross-stream migration of a deformable droplet suspended in a non-isothermal Poiseuille flow in the presence of bulk-insoluble surfactants. Owing to the non-linearity present in the system of…

Fluid Dynamics · Physics 2018-10-17 Sayan Das , Suman Chakraborty

A thermomechanical model of continuous fluid media based on second gradient theory is used to study motions in liquid-vapor interfaces. At equilibrium, the model is shown to be equivalent to mean-field molecular theories of capillarity. In…

Fluid Dynamics · Physics 2011-08-17 Henri Gouin

We examine the shape of droplets atop deformable thin elastomeric films prepared with an anisotropic tension. As the droplets generate a deformation in the taut film through capillary forces, they assume a shape that is elongated along the…

Soft Condensed Matter · Physics 2017-05-17 Rafael D. Schulman , René Ledesma-Alonso , Thomas Salez , Elie Raphaël , Kari Dalnoki-Veress

In a recent paper, Sharifi-Mood et al. study colloidal particles trapped at a liquid interface with opposite principal curvatures $c_{1}=-c_{2}$. In the theory part, they claim that the trapping energy vanishes at second order in $\Delta…

Soft Condensed Matter · Physics 2016-01-18 Alois Würger

When a liquid droplet impacts a vibrated micro-structured surface with asymmetric topology, the liquids perform a horizontal motion during its bouncing. The moving effect is observed when the liquid is in contact with a low surface energy…

Fluid Dynamics · Physics 2020-09-10 Dinh-Tuan Phan , Hao Yu , Tuan Tran

We report frozen patterns for the water droplets impacting on a cold substrate through fast-speed images. These patterns can be manipulated by several physical parameters (the droplet size, falling height, and substrate temperature), and…

Fluid Dynamics · Physics 2020-08-25 Man Hu , Feng Wang , Qian Tao , Li Chen , Shmuel M. Rubinstein , Daosheng Deng