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The transport of single-phase fluid mixtures in porous media is described by cross-diffusion equations for the mass densities. The equations are obtained in a thermodynamic consistent way from mass balance, Darcy's law, and the van der…

Analysis of PDEs · Mathematics 2016-12-14 Ansgar Jüngel , Jiří Mikyška , Nicola Zamponi

Liquid drops start spreading directly after brought into contact with a partial wetting substrate. Although this phenomenon involves a three-phase contact line, the spreading motion is very fast. We study the initial spreading dynamics of…

Fluid Dynamics · Physics 2012-11-19 Koen G. Winkels , Joost H. Weijs , Antonin Eddi , Jacco H. Snoeijer

We have studied the dynamics of spreading of viscous non-volatile fluids on surfaces by MC simulations of SOS models. We have concentrated on the complete wetting regime, with surface diffusion barriers neglected for simplicity. First, we…

Condensed Matter · Physics 2015-06-25 O. Venalainen , T. Ala-Nissila , K. Kaski

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 consider a spherical particle levitating above a liquid bath owing to the Leidenfrost effect, where the vapour of either the bath or sphere forms an insulating film whose pressure supports the sphere's weight. Starting from a reduced…

Fluid Dynamics · Physics 2022-01-07 Rodolfo Brandão , Ory Schnitzer

Controlling the spatial distribution of liquid droplets on surfaces via surface energy patterning can be used to control material delivery to specified regions via selective liquid/solid wetting. While studies of the equilibrium shape of…

Soft Condensed Matter · Physics 2007-05-23 Gary S. Grest , David R. Heine , Edmund B. Webb

The evaporation coefficients of water in air and nitrogen were found as a function of temperature, by studying the evaporation of pure water droplet. The droplet was levitated in an electrodynamic trap placed in a climatic chamber…

Chemical Physics · Physics 2016-09-28 M. Zientara , D. Jakubczyk , K. Kolwas , M. Kolwas

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

Effects of substrate temperature, substrate wettability and particles concentration are experimentally investigated for evaporation of a sessile water droplet containing colloidal particles. Time-varying droplet shapes and temperature of…

Fluid Dynamics · Physics 2016-10-21 Nagesh D. Patil , Prathamesh G. Bange , Rajneesh Bhardwaj , Atul Sharma

The van der Waals forces across a very thin liquid layer (nanofilm) in contact with a plane solid wall make the liquid nonhomogeneous. The dynamics of such flat liquid nanofilms is studied in isothermal case. The Navier-Stokes equations are…

Classical Physics · Physics 2008-09-23 Henri Gouin , Sergey Gavrilyuk

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

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

In this paper, diffusion in polymer solutions undergoing evaporation of solvent is modeled as a coupled heat and mass transfer problem with moving boundary condition within the framework of nonequilibrium thermodynamics. The proposed…

Chemical Physics · Physics 2012-04-13 Siamak. Shams Es-haghi

The hydrodynamic phase field model is applied to the problem of film spreading on a solid surface. The disjoining potential, responsible for modification of the fluid properties near a three-phase contact line, is computed from the…

Fluid Dynamics · Physics 2009-11-06 Len M. Pismen , Yves Pomeau

Evolution of fuel droplet evaporation zone and its interaction with the propagating flame front are studied in this work. A general theory is developed to describe the evolutions of flame propagation speed, flame temperature, droplet…

Fluid Dynamics · Physics 2022-12-14 Qiang Li , Chang Shu , Huangwei Zhang

This review article examines the complex dynamics of thin-film flows of granular suspensions spreading over rigid solid substrates with free air interfaces. Such systems feature an involved coupling of the free-surface dynamics with the…

Soft Condensed Matter · Physics 2025-10-14 Alice Pelosse , Elisabeth Guazzelli , Matthieu Roché

We present a theoretical study of wetting phenomena and interactions between liquid-vapor interfaces based on the density functional theory. The focus is mostly on the impact of long-range van der Waals interactions both within the fluid…

Chemical Physics · Physics 2011-11-10 Arik Yochelis , Len M. Pismen

Temperature distributions and the corresponding vortex structures in an evaporating sessile droplet are obtained by performing detailed numerical calculations. A Marangoni convection induced by thermal conduction processes in the drop and…

Fluid Dynamics · Physics 2015-01-23 L. Yu. Barash

Condensation is an important aspect of many flow applications due to the universal presence of humidity in the air at ambient conditions. For direct numerical simulations of such flows, simulating the gas phase as a mixture characterized by…

Fluid Dynamics · Physics 2022-06-29 Philipp Bahavar , Claus Wagner

In the Leidenfrost effect, liquid drops deposited on a hot surface levitate on a thin vapor cushion fed by evaporation of the liquid. This vapor layer forms a concave depression in the drop interface. Using laser-light interference coupled…

Soft Condensed Matter · Physics 2018-02-21 J. C. Burton , A. L. Sharpe , R. C. A. van der Veen , A. Franco , S. R. Nagel