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Etiologies of tear breakup include evaporation-driven, divergent flow-driven, and a combination of these two. A mathematical model incorporating evaporation and lipid-driven tangential flow is fit to fluorescence imaging data. The…

We propose an explanation for the commonly-seen fading in the density of a stain remaining after a droplet has dried on a surface. The density decreases as a power $p$ of the distance from the edge. For thin, dilute drops of general shape…

Soft Condensed Matter · Physics 2015-05-13 T. A. Witten

When processing dense emulsions, complex flows stretch and deform droplets to the point of breakup, changing the droplet size distribution and the mechanical properties of the final product. For steady homogeneous flows, a droplet's shape…

Fluid Dynamics · Physics 2023-05-29 Joseph Peterson , Ioannis Bagkeris , Vipin Michael

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

Thermocapillary migration of a planar non-deformable droplet in flow fields with two uniform temperature gradients at moderate and large Marangoni numbers is studied numerically by using the front-tracking method. It is observed that the…

Fluid Dynamics · Physics 2011-12-14 Zuo-Bing Wu , Wen-Rui Hu

While a drop of liquid is placed on another liquid surface, two possible coalescence outcomes are observed. The parent drop bounces several times, floats and then disappears within the liquid pool without producing daughter droplets. This…

We have studied shrinkage crack patterns which form when a thin layer of an alumina/water slurry dries. Both isotropic and directional drying were studied. The dynamics of the pattern formation process and the geometric properties of the…

patt-sol · Physics 2009-10-31 Kelly A. Shorlin , John R. de Bruyn , Malcolm Graham , Stephen W. Morris

Watercolor or aquarelle is one of the oldest painting methods in which pigments suspended in an aqueous liquid are deposited over a substrate, typically an absorbing material such as paper. The physical processes which lead to pattern…

Understanding the stability of foam films and foams remains a challenge, despite the considerable efforts provided by the scientific community to refine their physical descriptions. This persistent difficulty underscores the interplay of…

Soft Condensed Matter · Physics 2025-09-12 F. Boulogne , E. Rio

Patterns are quotidian in nature. Distinct multiscale patterns are generally a consequence of nonequilibrium dynamical processes associated with mechanical or hydrodynamic instabilities. In this thesis, I report experimental investigations…

Soft Condensed Matter · Physics 2019-05-30 Xiaolei Ma

Solvent loss due to evaporation in a drying drop can drive capillary flows and solute migration. The flow is controlled by the evaporation profile and the geometry of the drop. We predict the flow and solute migration near a sharp corner of…

Soft Condensed Matter · Physics 2009-09-29 Rui Zheng , Yuri O. Popov , Thomas A. Witten

The evaporation of a binary sessile ethanol-water droplet on an inclined substrate is studied experimentally just below the critical sliding angles for different substrate temperatures. A customized goniometer equipped with a CMOS camera…

In this paper, thermocapillary migration of a planar droplet at moderate and large Marangoni numbers is investigated analytically and numerically. By using the dimension-analysis method, the thermal diffusion time scale is determined as the…

Fluid Dynamics · Physics 2017-05-30 Zuo-Bing Wu

A deposited drop of bovine serum albumin salt solution experiences both gelation and fracturation during evaporation. The cracks appearing at the edge of the gelling drop are regularly spaced, due to the competition between the…

Soft Condensed Matter · Physics 2015-06-24 Celine Annarelli , Jean Fornazero , Jacques Bert , Jean Colombani

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

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 evaporation of a drop from a liquid subphase is investigated. The two liquids are immiscible, and the contact angles between them are given by the Neumann construction. The evaporation of the drop gives rise to flows in both liquids,…

Fluid Dynamics · Physics 2015-02-10 Hanneke Gelderblom , Howard A. Stone , Jacco H. Snoeijer

The shape of deposits obtained from drying drops containing colloidal particles matters for technologies such as inkjet printing, microelectronics and bioassay manufacturing. In this work, the formation of deposits during the drying of…

Fluid Dynamics · Physics 2010-10-14 Rajneesh Bhardwaj , Xiaohua Fang , Ponisseril Somasundaran , Daniel Attinger

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

This is the companion paper of the Fluid Dynamics Video "The short life of a drop" where it is argued that the geometry of the sediment of a drop of water with particles in suspension can be correlated with the dynamics of the fluid inside…