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We consider the effect of droplet geometry on the early-stages of coffee ring formation during the evaporation of a thin droplet with an arbitrary simple, smooth, pinned contact line. We perform a systematic matched asymptotic analysis of…

Fluid Dynamics · Physics 2023-03-22 Matthew R. Moore , Dominic Vella , James M. Oliver

"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

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

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…

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 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

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 pioneering work of Deegan et al. [Nature 389, (1997)] showed how a drying sessile droplet suspension of particles presents a maximum evaporating flux at its contact line which drags liquid and particles creating the well known coffee…

Fluid Dynamics · Physics 2012-10-16 Alvaro G. Marin , Hanneke Gelderblom , Jacco Snoeijer , Detlef Lohse

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

Evaporating suspensions of colloidal particles lead to the formation of a variety of patterns, ranging from a left-over ring of a dried coffee drop to uniformly distributed solid pigments left behind wet paint. To characterize the…

Soft Condensed Matter · Physics 2014-11-19 C. Nadir Kaplan , L. Mahadevan

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

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…

We discuss a thin film evolution equation for a wetting evaporating liquid on a smooth solid substrate. The model is valid for slowly evaporating small sessile droplets when thermal effects are insignificant, while wettability and…

Soft Condensed Matter · Physics 2012-04-11 Desislava Todorova , Uwe Thiele , Len M. Pismen

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…

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

An evaporating droplet is a dynamic system in which flow is spontaneously generated to minimize the surface energy, dragging particles to the borders and ultimately resulting in the so-called "coffee-stain effect". The situation becomes…

Fluid Dynamics · Physics 2015-11-24 Alvaro Marin , Robert Liepelt , Massimiliano Rossi , Christian J. Kähler

The present study experimentally and numerically investigates the evaporation and resultant patterns of dried deposits of aqueous colloidal sessile droplets, when the droplets are initially elevated to a high temperature before being placed…

When a drop dries, it often leaves a ring-shaped stain through a ubiquitous phenomenon known as the coffee-ring effect. This also occurs when the liquid contains suspended microbes; evaporation leaves cells at higher concentrations in the…

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

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
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