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The evaporation of sessile droplets on a flat surface involves a complex interplay between phase change, diffusion, advection and surface forces. In an attempt to significantly reduce the complexity of the problem and to make it manageable,…

Soft Condensed Matter · Physics 2019-04-19 Thijs W. G. van der Heijden , Anton A. Darhuber , Paul van der Schoot

The transport and aggregation of particles in suspensions is an important process in many physicochemical and industrial processes. In this work, we study the transport of particles in an evaporating binary droplet. Surprisingly, the…

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

Droplet evaporation has been intensively investigated in past decades owing to its emerging applications in diverse fields of science and technology. Yet the role transport mechanisms has been the subject of a heated debate, especially the…

Fluid Dynamics · Physics 2021-08-04 Osman Akdag , Yigit Akkus , Barbaros Cetin , Zafer Dursunkaya

The so-called coffee stain effect has been intensively studied over the past decades, but most of the studies are focused on sessile droplets. In this paper, we analyse the origin of the difference between the deposition of suspended…

Fluid Dynamics · Physics 2023-03-22 Marie Corpart , Frédéric Restagno , François Boulogne

The present work investigates numerically the transport of colloidal particles within an evaporating sessile droplet and their deposition on the substrate in unfavourable conditions. The coupled phenomena of fluid flow and heat and mass…

Fluid Dynamics · Physics 2025-07-21 A. Mokhtari , M. AitSaada , S. Chikh , L. Tadrist

We study the time evolution of a sessile liquid droplet, which is initially put onto a solid surface in a non-equilibrium configuration and then evolves towards its equilibrium shape. We adapt here the standard approach to the dynamics of…

Materials Science · Physics 2007-05-23 M. J. de Ruijter , J. De Coninck , G. Oshanin

When a droplet containing a non-volatile component is dried on a substrate, it leaves a ringlike deposit on the substrate. We propose a theory which predicts the deposit distribution based on a model of fluid flow and contact line motion of…

Soft Condensed Matter · Physics 2016-02-17 Xingkun Man , Masao Doi

Deposits from evaporating drops have shown to take a variety of shapes, depending on the physicochemical properties of both solute and solvent. Classically, the evaporation of drops of colloidal suspensions leads to the so-called coffee…

Soft Condensed Matter · Physics 2021-05-04 Marius R. Bittermann , Daniel Bonn , Sander Woutersen , Antoine Deblais

Escaping of the liquid molecules from their liquid bulk into the vapour phase at the vapour-liquid interface is controlled by the vapour diffusion process, which nevertheless hardly senses the macroscopic shape of this interface. Here,…

Soft Condensed Matter · Physics 2021-08-18 Pan Jia , Mo Zhou , Haiping Yu , Cunjing Lv , Guangyin Jing

We present a framework for calculating the surface density profile of a stain deposited by a drop with a receding contact line. Unlike a pinned drop, a receding drop pushes fluid towards its interior, continuously deposits mass across its…

Soft Condensed Matter · Physics 2014-10-10 Julian Freed-Brown

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

A mathematical model for the evolution of, and deposition from, a thin particle-laden droplet on an infinitely thick, isotropic, flooded, porous substrate with interconnected pores undergoing simultaneous evaporation and imbibition is…

Fluid Dynamics · Physics 2025-11-06 David Craig , Alexander W. Wray , Khellil Sefiane , Stephen K. Wilson

We propose a theory for the multi-ring pattern of the deposits that are formed when droplets of suspension are dried on a substrate. Assuming a standard model for the stick-slip motion of the contact line, we show that as droplets…

Soft Condensed Matter · Physics 2018-07-26 Mengmeng Wu , Xingkun Man , Masao Doi

Liquid droplets usually wet smooth and homogeneous substrates isotropically. Recent research works have revealed that droplets sit, slide and spread anisotropically on uniaxially stretched soft substrates, showing an enhanced wettability…

Soft Condensed Matter · Physics 2022-12-02 Yixuan Du , Elmar Bonaccurso , Jianwei Guo , Kai Uhlig , Longquan Chen , Binyu Zhao , Günter K. Auernhammer

We study the dynamics of contact angle of a droplet of binary solution evaporating on a super wetting surface. Recent experiments show that although equilibrium contact angle of such droplet is zero, the contract angle can show complex time…

Soft Condensed Matter · Physics 2021-07-27 Mengmeng Wu , Masao Doi , Xingkun Man

Hypothesis: Evaporation of surfactant droplets on leaves is complicated due to the complex physical and chemical properties of the leaf surfaces. However, for certain leaf surfaces for which the evaporation process appears to follow the…

The evaporation of sessile drops in quiescent air is usually governed by vapour diffusion. For contact angles below $90^\circ$, the evaporative flux from the droplet tends to diverge in the vicinity of the contact line. Therefore, the…

Fluid Dynamics · Physics 2012-12-18 Hanneke Gelderblom , Oscar Bloemen , Jacco H. Snoeijer

The article reports droplet evaporation kinetics on inclined substrates. Comprehensive experimental and theoretical analyses of the droplet evaporation behaviour for different substrate declination, wettability and temperatures have been…

Fluid Dynamics · Physics 2020-12-02 Purbarun Dhar , Raghavendra Kumar Dwivedi , A R Harikrishnan

Building on the recent theoretical work of Wray, Duffy and Wilson [J. Fluid Mech. 884, A45 (2020)] concerning the competitive diffusion-limited evaporation of multiple thin sessile droplets in proximity to each other, we obtain theoretical…

Fluid Dynamics · Physics 2021-07-28 Alexander W. Wray , Patrick S. Wray , Brian R. Duffy , Stephen K. Wilson