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We study the initial evolution of the coffee ring that is formed by the evaporation of a thin, axisymmetric, surface tension-dominated droplet containing a dilute solute. When the solutal P\'{e}clet number is large, we show that diffusion…

Fluid Dynamics · Physics 2021-06-21 Matthew R. Moore , Dominic Vella , James M. Oliver

The coffee-ring effect is a universal feature of evaporating sessile droplets with pinned contact line, wherein solutes or particles are advected to the droplet's edge due to evaporation-driven flows. While existing models have successfully…

We consider the role of gravity in solute transport when a thin droplet evaporates. Under the physically-relevant assumptions that the contact line is pinned and the solutal P\'{e}clet number, $\mbox{Pe}$ is large, we identify two…

Fluid Dynamics · Physics 2023-01-30 Matt R Moore , Alexander W Wray

Evaporating a droplet containing dispersed colloids leaves behind a dried deposit whose shape is determined by capillary flows and the resulting particle transport. The classical coffee-ring effect occurs when an outward radial flow drives…

Soft Condensed Matter · Physics 2026-04-27 Samuel S. Nielsen , Ryker Fish , Brian C. Seper , Brennan Sprinkle , Michelle M. Driscoll

"When the liquid phase of a particle-laden droplet evaporates, a ring of solute is typically formed - what has become known as the "coffee ring effect". A key focus of recent work has been the suppression of the coffee-ring effect to leave…

Fluid Dynamics · Physics 2022-12-22 John McCarthy , Alfonso Castrejón-Pita , Mokhtar Adda-Bedia , Dominic Vella

When a colloidal sessile droplet dries on a substrate, the particles suspended in it usually deposit in a ring-like pattern. This phenomenon is commonly referred to as the "coffee-ring" effect. One paradigm for why this occurs is as a…

Fluid Dynamics · Physics 2016-12-14 Saeed Jafari Kang , Vahid Vandadi , James D. Felske , Hassan Masoud

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

Spilling tea or coffee leads to a tell-tale circular stain after the droplet dries, known as the "coffee ring effect". The evaporation of suspension droplets is a complex physical process, and predicting and controlling the particle deposit…

The present study examines evaporative cooling and the resulting deposition patterns of a sessile $Al_2O_3$-based nanofluid droplet on a hydrophobic glass substrate at different temperatures. Evaporation predominantly occurs in the pinned…

Fluid Dynamics · Physics 2026-03-26 S. K. Saroj , P. K. Panigrahi

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

Evaporating colloidal droplets have long been used as model systems to understand capillarity, interfacial transport, and particle assembly, most prominently through the coffee ring effect. In classical descriptions, suspended particles are…

Soft Condensed Matter · Physics 2026-05-15 Meneka Banik , Ranjini Bandyopadhyay

Hypothesis: Contact-line motion upon drying of sessile droplet strongly affects the solute transport and solvent evaporation profile. Hence, it should have a strong impact on the deposit formation and might be responsible for volcano-like,…

How particles are deposited at the edge of evaporating droplets, i.e. the {\em coffee ring} effect, plays a crucial role in phenomena as diverse as thin-film deposition, self-assembly, and biofilm formation. Recently, microorganisms have…

Solute deposits from evaporating drops with pinned contact line are usually concentrated near the contact line. The stain, or pattern, left on the substrate then consists of a single ring, commonly known as a coffee ring. Here we report on…

Soft Condensed Matter · Physics 2007-05-23 Vladimir A. Belyi , D. Kaya , M. Muthukumar

The drying of a drop containing particles often results in the accumulation of the particles at the contact line. In this work, we investigate the drying of an aqueous colloidal drop surrounded by a hydrogel that is also evaporating. We…

Soft Condensed Matter · Physics 2017-01-31 François Boulogne , François Ingremeau , Howard A. Stone

Our numerical study aims to investigate particle deposit patterns from the evaporation of a sessile colloidal droplet. An in house finite volume code is developed to simulate the coupled phenomena of flow and heat and mass transfer with…

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

We study numerically the influence of contact angle on slow evaporation in two-dimensional model porous media. For sufficiently low contact angles, the drying pattern is fractal and can be predicted by a simple model combining the invasion…

Soft Condensed Matter · Physics 2009-03-11 Hamza Chraibi , M. Prat , O. Chapuis

Evaporation of water droplets on a superhydrophobic substrate, on which the contact line is pinned, is investigated. While previous studies mainly focused on droplets with contact angles smaller than 90^\circ, here we analyze almost the…

Controlling the deposition of filaments, such as nanowires and nanotubes, from evaporating droplets is critical for the performance of emerging technologies like flexible sensors and printed electronics. The final deposit morphology…

Soft Condensed Matter · Physics 2026-02-10 Johannes Schöttner , Qingguang Xie , Gaurav Nath , Jens Harting

Self-encapsulated droplets floating at an oil--air interface undergo striking shape changes during evaporation, including flattening and localized loss of membrane tension leading to crumpling and wrinkling. Here we combine experiments,…

Soft Condensed Matter · Physics 2026-05-11 D. Andrini , D. Riccobelli , L. Gazzera , S. Molteni , P. Metrangolo , P. Ciarletta
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