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Inviscid flow within an evaporating sessile drop is analyzed. The field equation, E^2(Psi)=0, is solved for the stream function. The exact analytical solution is obtained for arbitrary contact angle and distribution of evaporative flux…

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

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

Equilibrium contact angle of liquid drops over horizontal surfaces has been modeled using Smoothed Particle Hydrodynamics (SPH). The model is capable of accurate implementation of contact angles to stationary and moving contact lines. In…

Fluid Dynamics · Physics 2016-08-10 Amirsaman Farrokhpanah , Babak Samareh , Javad Mostaghimi

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 theory is presented for the formation of a conical tip in water drops that are frozen on a flat surface below freezing temperature. For the known ice to water density ratio r = .917, the angle of aperture of this cone is found to be…

Fluid Dynamics · Physics 2014-04-18 Michael Nauenberg

When a droplet gently lands on an atomically smooth substrate, it will most likely contact the underlying surface in about 0.1 s. However, theoretical estimation from fluid mechanics predicts a contact time of 10 to 100 s. What causes this…

Fluid Dynamics · Physics 2017-06-13 Hau Yung Lo , Yuan Liu , Lei Xu

We report an experimental study of liquid drops moving against gravity, when placed on a vertically vibrating inclined plate, which is partially wetted by the drop. The frequency of vibrations ranges from 30 to 200 Hz, and, above a…

Fluid Dynamics · Physics 2008-09-12 P. Brunet , J. Eggers , R. D. Deegan

The spreading of a cap-shaped spherical droplet of non-Newtonian power-law liquids on a completely wettable spherical substrate is theoretically studied. Both convex spherical substrates and concave spherical cavities with smooth or rough…

Soft Condensed Matter · Physics 2018-12-18 Masao Iwamatsu

We study the formation and decay of electron-hole droplets in diamonds at both low and high temperatures under different excitations by master equations. The calculation reveals that at low temperature the kinetics of the system behaves as…

Materials Science · Physics 2007-05-23 J. H. Jiang , M. W. Wu , M. Nagai , M. Kuwata-Gonokami

The two-dimensional Edwards-Anderson model with Gaussian bond distribution is investigated at T=0 with a numerical method. Droplet excitations are directly observed. It turns out that the averaged volume of droplets is proportional to l^D…

Disordered Systems and Neural Networks · Physics 2009-10-31 Naoki Kawashima

The impact dynamics of spinning droplets onto superhydrophobic surfaces was studied by using Volume-of-Fluid simulations, covering broad ranges of Weber number ($We$) and dimensionless angular velocity ($\mathit{\Omega}$). The omputational…

Fluid Dynamics · Physics 2025-07-18 Jinyang Wang , Feifei Jia , Xiaoyun Peng , Peng Zhang , Kai Sun , Tianyou Wang

Many numerical studies validate droplet wall impact using only maximum spreading diameter, yet this metric alone cannot ensure correct droplet dynamics. We present a combined dynamic contact angle (DCA) model that merges the geometric…

Fluid Dynamics · Physics 2026-02-19 Dmitry Zharikov , Maxim Piskunov , Dmitry Kolomenskiy

Evaporation of surfactant laden sessile droplets is omnipresent in nature and industrial applications such as inkjet printing. Soluble surfactants start to form micelles in an aqueous solution for surfactant concentrations exceeding the…

Escaping of the liquid molecules from their liquid bulk into the vapour phase at the vapour-liquid interface is controlled by the vapour diffusion process, which nevertheless hardly senses the macroscopic shape of this interface. Here,…

Soft Condensed Matter · Physics 2021-08-18 Pan Jia , Mo Zhou , Haiping Yu , Cunjing Lv , Guangyin Jing

We report an extensive computational and experimental investigation of droplet impact and subsequent splitting hydrodynamics on superhydrophobic wedges. 2D and necessary 3D simulations using the volume of fluid method, backed with…

Fluid Dynamics · Physics 2024-07-19 Gudlavalleti V V S Vara Prasad , Parmod Kumar , Purbarun Dhar , Devranjan Samanta

Evaporation of a liquid drop surrounded by either vapor of the same fluid, or vapor and air, is usually attributed to vapor diffusion -- which, however, does not apply to the former setting, as pure fluids do not diffuse. The present paper…

Fluid Dynamics · Physics 2022-04-05 E. S. Benilov

A key question in the interaction of droplets with lubricated and liquid-infused surfaces is what determines the apparent contact angle of droplets. Previous work has determined this using measured values of the geometry of the `skirt' --…

Soft Condensed Matter · Physics 2022-06-03 Zhaohe Dai , Dominic Vella

We report experiments investigating the behaviour of micron-scale fluid droplets jetted onto surfaces patterned with lyophobic and lyophilic stripes. The final droplet shape depends on the droplet size relative to that of the stripes. In…

Soft Condensed Matter · Physics 2007-05-23 J. Leopoldes , A. Dupuis , D. G. Bucknall , J. M. Yeomans

We consider a thin droplet that spreads over a flat, horizontal and chemically heterogeneous surface. The droplet is subjected to changes in its volume though a prescribed, arbitrary spatiotemporal function, which varies slowly and vanishes…

Fluid Dynamics · Physics 2021-12-21 Nikos Savva , Danny Groves

In this article, we study the spreading of droplets of density-matched granular suspensions on the surface of a solid. Bidispersity of the particle size distribution enriches the conclusions drawn from monodisperse experiments by…

Soft Condensed Matter · Physics 2023-01-25 Alice Pelosse , Élisabeth Guazzelli , Matthieu Roché
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