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Related papers: Sessile liquid drop evaporation: analytical soluti…

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During coalescence of liquid drops contacting a solid, the liquid sweeps wetted and solid-projected areas. The extent of sweeping dictates the performance of devices such as self-cleaning surfaces, anti-frost coatings, water harvesters, and…

Fluid Dynamics · Physics 2020-10-28 Jonathan M. Ludwicki , Paul H. Steen

The evaporation of a sessile droplet spontaneously induces an internal capillary liquid flow. The surface-tension driven minimisation of surface area and/or surface-tension differences at the liquid-gas interface caused by…

Fluid Dynamics · Physics 2022-09-28 Hanneke Gelderblom , Christian Diddens , Alvaro Marin

Evaporation of a liquid layer on a substrate is examined without the often-used isothermality assumption -- i.e., temperature variations are accounted for. Qualitative estimates show that nonisothermality makes the evaporation rate depend…

Soft Condensed Matter · Physics 2023-05-02 E. S. Benilov

We calculate the normal capillary retention force that anchors a drop to a solid surface in the direction perpendicular to the surface, and study the relationship between such force and the Young-Dupre work of adhesion. We also calculate…

Soft Condensed Matter · Physics 2022-06-08 Rafael de la Madrid , Huy Luong , Jacob Zumwalt

We study the interaction of an elastic beam with a liquid drop in the case where bending and extensional effects are both present. We use a variational approach to derive equilibrium equations and constitutive relation for the beam. This…

Soft Condensed Matter · Physics 2014-04-08 Sébastien Neukirch , Arnaud Antkowiak , Jean-Jacques Marigo

We propose a method of transformation from a force curve obtained with a surface force apparatus (SFA) to a density distribution of a liquid near a surface. The method is based on the statistical mechanics of liquids. As a first step, we…

Data Analysis, Statistics and Probability · Physics 2015-11-17 Ken-ich Amano , Ohgi Takahashi

We present a theoretical study related to a recent experiment on the coalescence of sessile drops. The study deals with the kinetics of relaxation towards equilibrium, under the action of surface tension, of a spheroidal drop on a flat…

Soft Condensed Matter · Physics 2016-01-27 Vadim Nikolayev , Daniel Beysens

Using an identity, directly derived from the Young-Laplace equation, the problem of the equilibrium shape of an axisymmetric sessile drop is reduced to a one-parameter shooting method problem. Based on the method the numerical solutions for…

Soft Condensed Matter · Physics 2013-05-17 Amir H. Fatollahi , Maryam Hajirahimi

Droplets can be levitated by their own vapour when placed onto a superheated plate (the Leidenfrost effect). It is less known that the Leidenfrost effect can likewise be observed over a liquid pool (superheated with respect to the drop),…

Scattering by infinite hexagonal ice prisms is calculated using Maxwell's equations in the discrete dipole approximation for size parameters up to x=400. Birefringence is included in the calculations. Applicability of the geometric optics…

Atmospheric and Oceanic Physics · Physics 2015-06-22 P. J. Flatau , B. T. Draine

We discuss several approaches to generalized solutions of problems describing the motion of inviscid fluids. We propose a new concept of dissipative solution to the compressible Euler system based on a careful analysis of possible…

Analysis of PDEs · Mathematics 2019-07-04 Dominic Breit , Eduard Feireisl , Martina Hofmanova

The energy budget and dissipation mechanisms during droplet impact on solid surfaces are studied numerically and theoretically. We find that for high impact velocities and negligible surface friction at the solid surface (i.e. free-slip),…

Fluid Dynamics · Physics 2016-10-07 Sander Wildeman , Claas Willem Visser , Chao Sun , Detlef Lohse

Swept volume computation, the determination of regions occupied by moving objects, is essential in graphics, robotics, and manufacturing. Existing approaches either explicitly track surfaces, suffering from robustness issues under complex…

Computational Geometry · Computer Science 2025-09-12 Pengfei Wang , Yuexin Yang , Shuangmin Chen , Shiqing Xin , Changhe Tu , Wenping Wang

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

We propose simple model of colloidal sessile drop desiccation. The model describes correctly both evolution of the phase boundary between sol and gel inside such a drop and the final shape of the dried film (deposit). The model is based on…

Soft Condensed Matter · Physics 2011-08-23 Yu. Yu. Tarasevich , I. V. Vodolazskaya , O. P. Isakova

We study the interaction of a liquid drop with an elastic beam in the case where bending effects dominate. We use a variational approach to derive equilibrium equations for the system in the presence of gravity and in the presence or…

Soft Condensed Matter · Physics 2013-07-26 Sebastien Neukirch , Arnaud Antkowiak , Jean-Jacques Marigo

We consider a liquid drop sitting on a rough solid surface at equilibrium, a volume constrained minimizer of the total interfacial energy. The large-scale shape of such a drop strongly depends on the micro-structure of the solid surface.…

Analysis of PDEs · Mathematics 2016-12-22 William M. Feldman , Inwon C. Kim

Liquid drops on soft solids generate strong deformations below the contact line, resulting from a balance of capillary and elastic forces. The movement of these drops may cause strong, potentially singular dissipation in the soft solid.…

Fluid Dynamics · Physics 2016-03-25 S. Karpitschka , S. Das , M. van Gorcum , H. Perrin , B. Andreotti , J. H. Snoeijer

We study the mechanics of evaporation and precipitate formation in pure and bacteria-laden sessile whole blood droplets in the context of disease diagnostics. Using experimental and theoretical analysis, we show evaporation process has…

We report on the implementation of evaporative cooling of a magnetically guided beam by adsorption on a ceramic surface. We use a transverse magnetic field to shift locally the beam towards the surface, where atoms are selectively…

Other Condensed Matter · Physics 2016-08-16 Gael Reinaudi , Thierry Lahaye , Antoine Couvert , Zhaoying Wang , David Guéry-Odelin