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Related papers: Sessile liquid drop evaporation: analytical soluti…

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We investigate evaporation of a sessile droplet on a non-wetted surface in the framework of diffusion-limited and quasi-steady evaporation. We extend previous models and numerically solve Laplace equation for the diffusion of liquid vapor…

Fluid Dynamics · Physics 2018-07-11 Rajneesh Bhardwaj

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…

The theory of solute transfer and deposit growth in evaporating sessile drops on a plane substrate is presented. The main ideas and the principal equations are formulated. The problem is solved analytically for two important geometries:…

Soft Condensed Matter · Physics 2007-05-23 Yuri Popov

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

The idea of contact angle was generalized by using the principle of minimum total energy. The problems of the shape of the two-dimensional sessile drop and the drop on an inclined surface are considered. The differential equations…

Fluid Dynamics · Physics 2007-05-23 Y. I. Frenkel

Drop evaporation is a simple phenomena but still unclear concerning the mechanisms of evaporation. A common agreement of the scientific community based on experimental and numerical work evidences that most of the evaporation occurs at the…

Fluid Dynamics · Physics 2011-01-18 D. Brutin , F. Rigollet , C. Le Niliot

This paper presents an experimental study on thermal transport to single water droplets evaporating on heated bi-phobic surfaces consisting of a superhydrophobic matrix with a circular hydrophobic pattern with strong contact line pinning. A…

Fluid Dynamics · Physics 2019-12-17 Wenliang Qi , Junhui Li , Patricia B. Weisensee

This fluid dynamics video was submitted to the Gallery of Fluid Motion for the 2009 APS Division of Fluid Dynamics Meeting in Minneapolis, Minnesota. Drop evaporation is a simple phenomena but still unclear concerning the mechanisms of…

Fluid Dynamics · Physics 2009-10-26 D. Brutin , F. Rigollet , C. LeNiliot

We consider the time evolution of a sessile drop of volatile partially wetting liquid on a rigid solid substrate. Thereby, the drop evaporates under strong confinement, namely, it sits on one of the two parallel plates that form a narrow…

Fluid Dynamics · Physics 2023-08-11 S. Hartmann , C. Diddens , M. Jalaal , U. Thiele

The shape of drop on a flat horizontal plane is obtained by including the first order of correction by the weight. The sphere solution of the weightless drop is used to introduce a new polar coordinate by which the perturbative expression…

Mathematical Physics · Physics 2013-03-11 Amir H. Fatollahi

We numerically and experimentally investigate evaporation of a sessile droplet on a heated substrate. We develop a finite element (FE) model in two-dimensional axisymmetric coordinates to solve coupled transport of heat in the droplet and…

Applied Physics · Physics 2019-07-15 Manish Kumar , Rajneesh Bhardwaj

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

The evaporation of sessile droplets on a flat surface involves a complex interplay between phase change, diffusion, advection and surface forces. In an attempt to significantly reduce the complexity of the problem and to make it manageable,…

Soft Condensed Matter · Physics 2019-04-19 Thijs W. G. van der Heijden , Anton A. Darhuber , Paul van der Schoot

We investigate the evaporation of a two-dimensional droplet on a solid surface. The solid is flat but with smooth chemical variations that lead to a space-dependent local contact angle. We perform a detailed bifurcation analysis of the…

Fluid Dynamics · Physics 2021-03-31 Michael Ewetola , Rodrigo Ledesma-Aguilar , Marc Pradas

A finite element model was developed to compute the fluid flow inside a sessile evaporating droplet on hydrophilic substrate in ambient conditions. The evaporation is assumed as quasi-steady and the flow is considered as axisymmetric with a…

Fluid Dynamics · Physics 2020-09-08 Manish Kumar , Rajneesh Bhardwaj

We investigate theoretically and numerically the diffusion-limited evaporation of a liquid deposited on a fiber in two configurations: a sleeve and a axisymmetric barrel-shaped droplet. For a sleeve, the local flux depends on both the…

Soft Condensed Matter · Physics 2022-04-27 Marie Corpart , Julien Dervaux , Christophe Poulard , Frédéric Restagno , François Boulogne

The dynamics of thin volatile droplets comprising of binary mixtures deposited on a heated substrate are investigated. Using lubrication theory, we develop a novel one-sided model to predict the spreading and retraction of an evaporating…

Fluid Dynamics · Physics 2020-09-23 A. G. L. Williams. G. Karapetsas , D. Mamalis , K. Sefiane , O. K. Matar , P. Valluri

A model accounting for finite spatial dimensions of the deposit patterns in the evaporating sessile drops of colloidal solution on a plane substrate is proposed. The model is based on the assumption that the solute particles occupy finite…

Soft Condensed Matter · Physics 2009-11-10 Yuri O. Popov

The present article experimentally and theoretically probes the evaporation kinetics of sessile saline droplets. Observations reveal that presence of solvated ions leads to modulated evaporation kinetics, which is further a function of…

Fluid Dynamics · Physics 2020-06-24 Abhishek Kaushal , Vivek Jaiswal , Vishwajeet Mehandia , Purbarun Dhar

Theoretical description and numerical simulation of an evaporating sessile drop are developed. We jointly take into account the hydrodynamics of an evaporating sessile drop, effects of the thermal conduction in the drop and the diffusion of…

Fluid Dynamics · Physics 2009-04-02 L. Yu. Barash , T. P. Bigioni , V. M. Vinokur , L. N. Shchur
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