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We examine theoretically the spreading of a viscous liquid drop over a thin film of uniform thickness, assuming the liquid's viscosity is regulated by the concentration of a solute that is carried passively by the spreading flow. The solute…

Fluid Dynamics · Physics 2017-05-09 Feng Xu , Oliver E. Jensen

Volatile viscous fluids on partially-wetting solid substrates can exhibit interesting interfacial instabilities and pattern formation. We study the dynamics of vapor condensation and fluid evaporation governed by a one-sided model in a low…

Fluid Dynamics · Physics 2018-02-07 Hangjie Ji , Thomas P. Witelski

This paper presents a mathematically exact self-similar solution to the joint nonsteady problems of vapour diffusion towards a droplet growing in a vapour-gas medium and of removal of heat released by a droplet into a vapour-gas medium…

Statistical Mechanics · Physics 2009-12-05 A. P. Grinin , G. Yu. Gor , F. M. Kuni

We present a computational investigation of thin viscoelastic films and drops on a solid substrate subject to the van der Waals interaction force, in two spatial dimensions. The governing equations are obtained within a long-wave…

Fluid Dynamics · Physics 2016-10-11 Valeria Barra , Shahriar Afkhami , Lou Kondic

When a volatile drop impacts on a superheated solid, air drainage and vapor generation conspire to create an intermediate gas layer that delays or even prevents contact between the liquid and the solid. In this article, we use high-speed…

Fluid Dynamics · Physics 2021-04-13 Pierre Chantelot , Detlef Lohse

An isolated Leidenfrost droplet levitating over its own vapor above a superheated flat substrate is considered theoretically, the superheating for water being up to several hundred degrees above the boiling temperature. The focus is on the…

Fluid Dynamics · Physics 2025-05-14 Benjamin Sobac , Alexey Rednikov , Pierre Colinet

We present a mesoscopic hydrodynamic model for a spreading drop of volatile partially wetting liquid on a solid porous layer of small thickness. Thereby, evaporation takes place under strong confinement, i.e., we consider a drop that…

Fluid Dynamics · Physics 2025-08-27 Simon Hartmann , Uwe Thiele

The stability of an evaporating thin liquid film on a solid substrate is investigated within lubrication theory. The heat flux due to evaporation induces thermal gradients; the generated Marangoni stresses are accounted for. Assuming the…

Soft Condensed Matter · Physics 2009-11-10 Eric Sultan , Arezki Boudaoud , Martine Ben Amar

We develop a model for the thermodynamics and evaporation dynamics of aerosol droplets of a liquid such as water, surrounded by the gas. When the temperature and the chemical potential (or equivalently the humidity) are such that the vapour…

Soft Condensed Matter · Physics 2023-11-23 A. J. Archer , B. D. Goddard , R. Roth

A theoretical framework is established to model the evaporation from continuously fed droplets, promising tools in the thermal management of high heat flux electronics. Using the framework, a comprehensive model is developed for a…

Applied Physics · Physics 2020-08-25 Yigit Akkus , Barbaros Cetin , Zafer Dursunkaya

Recent experimental studies of molten metal droplets wetting high temperature reactive substrates have established that the majority of triple-line motion occurs when inertial effects are dominant. In light of these studies, this paper…

Materials Science · Physics 2013-05-29 Daniel Wheeler , James A. Warren , William J. Boettinger

This paper is concerned with the diffusion of a fluid through a viscoelastic solid undergoing large deformations. Using ideas from the classical theory of mixtures and a thermodynamic framework based on the notion of maximization of the…

Computational Engineering, Finance, and Science · Computer Science 2015-03-17 Satish Karra

The spreading under surface tension and gravity of a droplet of yield-stress fluid over a thin film of the same material is studied. The droplet converges to a final equilibrium shape once the driving stresses inside the droplet fall below…

Fluid Dynamics · Physics 2021-07-01 Maziyar Jalaal , Boris Stoeber , Neil Balmforth

Heterogeneous condensation of vapours mixed with a carrier gas in the stagnation point boundary layer flow near a cold wall is considered in the presence of solid particles much larger than the mean free path of vapour particles. The…

Other Condensed Matter · Physics 2009-07-22 J. C. Neu , A. Carpio , L. L. Bonilla

The spontaneous spreading of non-volatile liquid droplets on solid substrates poses a classic problem in the context of wetting phenomena. It is well known that the spreading of a macroscopic droplet is in many cases accompanied by a thin…

Soft Condensed Matter · Physics 2012-06-18 M. N. Popescu , G. Oshanin , S. Dietrich , A. -M. Cazabat

It is argued that the van der Waals force exerted by the liquid and vapor/air on the molecules escaping from one phase into the other strongly affects the characteristics of evaporation. This is shown using two distinct descriptions of the…

Soft Condensed Matter · Physics 2024-02-14 E. S. Benilov

A liquid drop spreading over a thin heterogeneous precursor film (such as an inhaled droplet on the mucus-lined wall of a lung airway) will experience perturbations in shape and location as its advancing contact line encounters regions of…

Fluid Dynamics · Physics 2018-07-27 Feng Xu , Sam Coveney , Oliver E. Jensen

We investigate the occurrence of waterlike thermodynamic and dynamic anomalous behavior in a one dimensional lattice gas model. The system thermodynamics is obtained using the transfer matrix technique and anomalies on density and…

Soft Condensed Matter · Physics 2015-03-11 Marco Aurélio A. Barbosa , Fernando Vito Barbosa , Fernando Albuquerque de Oliveira

The dynamics of a thin layer of liquid, between a flat solid substrate and an infinitely-thick layer of saturated vapor, is examined. The liquid and vapor are two phases of the same fluid, governed by the diffuse-interface model. The…

Statistical Mechanics · Physics 2021-09-27 E. S. Benilov

We investigate numerically quasi-steady internal flows in an axially symmetrical evaporating sessile droplet depending on the ratio of substrate to fluid thermal conductivities, fluid volatility, contact angle and droplet size. Temperature…

Fluid Dynamics · Physics 2021-02-04 M. N. Turchaninova , E. S. Melnikova , A. A. Gavrilina , L. Yu. Barash