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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…

软凝聚态物质 · 物理学 2014-10-10 Julian Freed-Brown

Coffee extraction involves many complex physical and transport processes extremely difficult to model. Among the many factors that will affect the final quality of coffee, the microstructure of the coffee matrix is one of the most critical…

流体动力学 · 物理学 2023-10-10 Chaojie Mo , Richard Johnston , Luciano Navarini , Furio Suggi Liverani , Marco Ellero

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…

Through a combination of experiments and modeling, we have demonstrated a novel pattern formation phenomenon in an isothermal miscible fluid system involving simple protein and sugar solutions. We introduced dye-tagged protein solution into…

Evaporating salty droplets are ubiquitous in nature, in our home and in the laboratory. Interestingly, the transport processes in such apparently simple systems differ strongly from evaporating "freshwater" droplets since convection is…

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…

流体动力学 · 物理学 2026-03-25 Javier Martínez-Puig , Gianluca D'Agostino , Ana Oña , Javier Rodríguez-Rodríguez

We study the size and shape of the final deposit obtained when a drop with colloidal particles has dried on a super-hydrophobic surface made of micro-posts. As expected, most of the particles lie inside a circular area, which radius roughly…

软凝聚态物质 · 物理学 2012-05-22 Philippe Brunet

Falling coffee filters are a common object of study in introductory physics laboratory classes. They are usually used to demonstrate the terminal velocity, and determine how the drag force depends on this velocity. However they can also be…

流体动力学 · 物理学 2022-07-01 Chandra Boyle , James Pantaleone

When a mixture of propylene glycol and water is deposited on a clean glass slide, it forms a droplet of a given apparent contact angle rather than spreading as one would expect on such a high-energy surface. The droplet is stabilized by a…

软凝聚态物质 · 物理学 2017-12-04 Adrien Benusiglio , Nate Cira , Manu Prakash

The evaporation of liquid droplets often results in a ring-like deposition pattern of particles, presenting challenges for applications requiring highly uniform patterns. Despite extensive efforts to suppress the coffee ring effect,…

软凝聚态物质 · 物理学 2025-04-09 Zechao Jiang , Liyiming Tao , Xiuyuan Yang , Masao Doi , Ye Xu , Xingkun Man

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…

流体动力学 · 物理学 2026-02-16 Peter Lebedev-Stepanov

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…

软凝聚态物质 · 物理学 2014-11-19 C. Nadir Kaplan , L. Mahadevan

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…

软凝聚态物质 · 物理学 2016-02-17 Xingkun Man , Masao Doi

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…

流体动力学 · 物理学 2012-10-16 Alvaro G. Marin , Hanneke Gelderblom , Jacco Snoeijer , Detlef Lohse

We develop a lattice gas model for the drying of droplets of a nanoparticle suspension on a planar surface, using dynamical density functional theory (DDFT) to describe the time evolution of the solvent and nanoparticle density profiles.…

软凝聚态物质 · 物理学 2018-09-03 C. Chalmers , R. Smith , A. J. Archer

The drying of a drop of human blood exhibits coupled physical mechanisms, such as Marangoni flow, evaporation and wettability. The final stage of a whole blood drop evaporation reveals regular patterns with a good reproducibility for a…

流体动力学 · 物理学 2015-05-20 D. Brutin , B. Sobac , B. Loquet , J. Sampol

We reproduce patterns of drying paste by means of smoothed particle hydrodynamics which is the one of methods for solving the equations of continuum in the Lagrangian description. In addition to reproduce a realistic pattern, we find that…

计算物理 · 物理学 2016-10-18 Shin-ichi Ito , Satoshi Yukawa

We investigate the impact of a free-falling water drop onto a granular layer. First, we constructed a phase diagram of crater shapes with two control parameters, impact speed and grain size. A low-speed impact makes a deeper cylindrical…

软凝聚态物质 · 物理学 2011-02-17 H. Katsuragi

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…

软凝聚态物质 · 物理学 2018-07-26 Mengmeng Wu , Xingkun Man , Masao Doi

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…

流体动力学 · 物理学 2025-07-21 A. Mokhtari , M. AitSaada , S. Chikh , L. Tadrist