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We study the problem of evaporating drops contracting to a point. Going back to Maxwell and Langmuir, the existence of a spherical solution for which evaporating drops collapse to a point in a self-similar manner is well established in the…

Analysis of PDEs · Mathematics 2014-12-16 Marco A. Fontelos , Seok Hyun Hong , Hyung Ju Hwang

A fluid in a pore can form diverse heterogeneous structures. We combine a capillary description with the cubic-plus-association equation of state to study the thermodynamic stability of droplets, bubbles and films of water at 358 K in a…

Computational Physics · Physics 2019-09-04 Magnus Aa. Gjennestad , Øivind Wilhelmsen

Aqueous dispersions of exfoliated, bile-salt stabilized single-wall carbon nanotubes exhibit a first order transition to a nematic liquid-crystalline phase. The nematic phase presents itself in the form of micron-sized nematic droplets also…

Soft Condensed Matter · Physics 2013-06-25 Nicolas Puech , Eric Grelet , Philippe Poulin , Christophe Blanc , Paul van der Schoot

This paper analyzes the configurations of shapes that shows a spacelike liquid drop in Minkowski space deposited over a spacelike plane $\Pi$. We assume the presence of a uniform gravity field directed toward $\Pi$ and that the volume of…

Mathematical Physics · Physics 2007-05-23 Rafael Lopez

In this paper, we propose to predict analytically the temperature of an evaporating spherical droplet. To do so, we first review, from data in the literature, the effect of temperature on the physical parameters involved in cooling-induced…

Fluid Dynamics · Physics 2023-07-03 Marie Corpart , Frédéric Restagno , François Boulogne

Exact analytical solutions are derived for the Stokes flows within evaporating sessile drops of spherical and cylindrical cap shapes. The results are valid for arbitrary contact angle. Solutions are obtained for arbitrary evaporative flux…

Fluid Dynamics · Physics 2009-09-29 Hassan Masoud , James D. Felske

It has been implicitly assumed that ices on grains in molecular clouds and proto planetary disks are formed by homogeneous layers regardless of their composition or crystallinity. To verify this assumption, we observed the H2O deposition…

Water molecules play a fundamental role in the physics of slow crack propagation in glasses. It is commonly understood that, during stress-corrosion, water molecules that move in the crack cavity effectively reduce the bond strength at the…

Materials Science · Physics 2009-11-13 M. Ciccotti , M. George , V. Ranieri , L. Wondraczek , C. Marliere

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…

Soft Condensed Matter · Physics 2012-05-22 Philippe Brunet

The study of wetting phenomena is of great interest due to the multifaceted technological applications of hydrophobic and hydrophilic surfaces. The theoretical approaches proposed by Wenzel and later by Cassie and Baxter to describe the…

Soft Condensed Matter · Physics 2021-10-15 Marion Silvestrini , Antonio Tinti , Alberto Giacomello , Carolina Brito

We investigate theoretically the stability of thermo-capillary convection within a droplet when heated by a point source from below. To model the droplet, we use a mathematical model based on lubrication theory. We formulate a base-state…

Fluid Dynamics · Physics 2023-07-19 Khang Ee Pang , Charles Cuvillier , Yutaku Kita , Lennon Ó Náraigh

We present measurements of the diffusion-limited growth of ice crystals from water vapor at different supersaturation levels in air at a temperature of -15 C. Starting with thin, c-axis ice needle crystals, the subsequent growth…

Materials Science · Physics 2015-12-14 Kenneth Libbrecht , Christopher Miller , Ryan Potter , Nina Budaeva , Cameron Lemon , Sarah Thomas

A study of ice formation in stationary turbulent conditions is carried out in various limit regimes of crystal growth, supercooling and ice entrainment at the water surface. Analytical expressions for the temperature, salinity and ice…

Fluid Dynamics · Physics 2017-10-18 Francesca De Santi , Piero Olla

Up to 90% of the chemical reactions during star formation occurs on ice surfaces, probably including the formation of complex organics. Only the most abundant ice species are however observed directly by infrared spectroscopy. This study…

Solar and Stellar Astrophysics · Physics 2015-05-13 Karin I. Oberg , Sandrine Bottinelli , Ewine F. van Dishoeck

The fast evaporative cooling of micrometer-sized water droplets in vacuum offers the appealing possibility to investigate supercooled water - below the melting point but still a liquid - at temperatures far beyond the state-of-the-art.…

Geometry and topology play a fundamental role in determining pattern formation on 2D surfaces in condensed matter physics. For example, local positive Gaussian curvature of a 2D surface attracts positive topological defects in a liquid…

Soft Condensed Matter · Physics 2024-12-05 Cheng Long , David R. Nelson

In the paper arXiv:1803.11463, the authors study the arctic curve arising in random tilings of some planar domains with an arbitrary distribution of defects on one edge. Using the tangent method they derive a parametric equation for…

Mathematical Physics · Physics 2020-01-30 Bryan Debin , Philippe Ruelle

Large circular ice blocks up to 80 m of diameter have been observed on frozen river around the world. This rare event has been reported in a publication in 1993. This fascinating self-fashioned object slowly rotates at about 1$^o$ per…

Fluid Dynamics · Physics 2016-03-23 S. Dorbolo , N. Adami , C. Dubois , H. Caps , N. Vandewalle , B. Darbois-Texier

In the framework of the lubrication approximation, we derive a set of equations describing the steady bottom profile of Leidenfrost drops coupled with the vapor pressure. This allows to derive scaling laws for the geometry of the concave…

Fluid Dynamics · Physics 2015-06-11 Yves Pomeau , Martine Le Berre , Franck Celestini , Thomas Frisch

We use ultra-high-speed video imaging to look at the initial contact of a drop impacting onto a liquid layer. We observe experimentally the vortex street and the bubble-ring entrapments predicted numerically, for high impact velocities, by…

Fluid Dynamics · Physics 2013-05-01 M. -J. Thoraval , K. Takehara , T. G. Etoh , S. T. Thoroddsen