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Related papers: Sessile liquid drop evaporation: analytical soluti…

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It is well-known that liquid and saturated vapor, separated by a flat interface in an unbounded space, are in equilibrium. One would similarly expect a liquid drop, sitting on a flat substrate, to be in equilibrium with the vapor…

Soft Condensed Matter · Physics 2021-09-29 E. S. Benilov

We discuss a thin film evolution equation for a wetting evaporating liquid on a smooth solid substrate. The model is valid for slowly evaporating small sessile droplets when thermal effects are insignificant, while wettability and…

Soft Condensed Matter · Physics 2012-04-11 Desislava Todorova , Uwe Thiele , Len M. Pismen

Several dynamical stages of the Marangoni convection of an evaporating sessile drop are obtained. We jointly take into account the hydrodynamics of an evaporating sessile drop, effects of the thermal conduction in the drop and the diffusion…

Fluid Dynamics · Physics 2010-08-25 L. Yu. Barash , L. N. Shchur

Naviers Stokes and energy equations of hydrocarbon liquid droplet in evaporation in natural convection are solved numerically using PLIC VOF method. Our new technique allows us to observe clearly the droplet radius regression in each cell…

Fluid Dynamics · Physics 2021-04-29 Jean Nahed , Joseph Dgheim

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

Water evaporation is critically important for hydrogels in open-air applications, but theoretically modeling is difficult due to the complicated intermolecular interactions and sustained deformation. In this work, we construct a simplified…

Soft Condensed Matter · Physics 2025-05-28 Zehua Yu , Yongshun Ren , Kang Liu

A new set of mathematical identities is presented for axi-symmetric sessile drops on flat and curved substrates. The geometrical parameters, including the apex curvature and height, and the contact radius, are related by the identities. The…

Fluid Dynamics · Physics 2020-02-03 Maryam Hajirahimi , Fahimeh Mokhtari , Amir H. Fatollahi

Drying complex fluids is a common phenomenon where a liquid phase transforms into a dense or porous solid. This transformation involves several physical processes, such as the diffusion of liquid molecules into the surrounding atmosphere…

Fluid Dynamics · Physics 2023-06-21 Ranajit Mondal , Hisay Lama , Kirti Chandra Sahu

Dewetting of liquid films on solid surfaces in the presence of evaporation is a common phenomenon and has been studied by many researchers. The previous numerical approach has revealed that evaporation accelerates the dewetting speed of the…

Soft Condensed Matter · Physics 2023-05-16 Xiaolong Zhang , Vadim Nikolayev

Evaporating sessile droplets have been known to exhibit oscillations on the air-liquid interface. These are generally over millimeter scales. Using a novel approach, we are able to measure surface height changes of 500 nm amplitude using…

The evaporation of sessile drops in quiescent air is usually governed by vapour diffusion. For contact angles below $90^\circ$, the evaporative flux from the droplet tends to diverge in the vicinity of the contact line. Therefore, the…

Fluid Dynamics · Physics 2012-12-18 Hanneke Gelderblom , Oscar Bloemen , Jacco H. Snoeijer

The objective of this work is to investigate the coupling of fluid dynamics, heat transfer and mass transfer during the impact and evaporation of droplets on a heated solid substrate. A laser-based thermoreflectance method is used to…

Fluid Dynamics · Physics 2010-10-14 Rajneesh Bhardwaj , Jon P. Longtin , Daniel Attinger

When a drop containing colloidal particles evaporates on a surface, a circular stain made of these particles is often observed due to an internal flow toward the contact line. To hinder this effect, several approaches have been proposed…

Soft Condensed Matter · Physics 2016-01-06 François Boulogne , François Ingremeau , Julien Dervaux , Laurent Limat , Howard A. Stone

In this paper, we address the well-posedness of an evaporation model for a spherical liquid droplet taking into account the convective impact of an air flow in the ambient gas phase. From a mathematical perspective, we are dealing with a…

Analysis of PDEs · Mathematics 2023-12-13 Eberhard Bänsch , Martin Doß , Carsten Gräser , Nadja Ray

This review covers experimental results of evaporative lithography and analyzes existing mathematical models of this method. Evaporating droplets and films are used in different fields, such as cooling of heated surfaces of electronic…

Applied Physics · Physics 2024-04-04 Konstantin Kolegov , Lev Barash

Drop deformation in shear flow is determined up to second order theory in Ca while considering kinetic effects on surfactants distributions in steady state. Surfactants inside the drop are adsorbed faster than those on the surface leading…

Soft Condensed Matter · Physics 2024-10-24 Paul Regazzi , Marc Leonetti

We present a novel dynamic light scattering setup to probe, with time and space resolution, the microscopic dynamics of soft matter systems confined within millimeter-sized spherical drops. By using an ad-hoc optical layout, we tackle the…

Soft Condensed Matter · Physics 2024-02-16 Matteo Milani , Ty Phou , Guillame Prevot , Laurence Ramos , Luca Cipelletti

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

In this paper, we present a mathematical model and numerical simulation of the evaporation and drying process of a liquid droplet containing suspended solids. This type of drying is commonly encountered in manufacturing processes such as…

Fluid Dynamics · Physics 2025-11-27 Anurag Bhattacharjee , Aswin Gnanaskandan

Using direct numerical simulations, the fragmentation of falling liquid droplets in a quiescent media is studied. Three simulations with different Eotvos numbers were performed. An adaptive volume of fluid(VOF) method based on octree…

Fluid Dynamics · Physics 2011-10-18 M. Jalaal , M. Schwalbach , K. Mehravaran
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