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相关论文: Near-critical spreading of droplets

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We present results on the leveling of polymer microdroplets on thin films prepared from the same material. In particular, we explore the crossover from a droplet spreading on an infinitesimally thin film (Tanner's law regime) to that of a…

软凝聚态物质 · 物理学 2015-06-11 Sara L. Cormier , Joshua D. McGraw , Thomas Salez , Elie Raphael , Kari Dalnoki-Veress

The quasistationary spreading of a circular liquid drop on a solid substrate typically obeys the so-called Tanner law, with the instantaneous base radius R(t) growing with time as R ~ t^{1/10} -- an effect of the dominant role of capillary…

软凝聚态物质 · 物理学 2015-05-14 S. Mechkov , A. -M. Cazabat , G. Oshanin

The spreading of a circular liquid drop on a solid substrate can be described by the time evolution of its base radius R(t). In complete wetting the quasistationary regime (far away from initial and final transients) typically obeys the…

软凝聚态物质 · 物理学 2015-05-14 Serguei Mechkov , Anne-Marie Cazabat , Gleb Oshanin

Droplet spreading is ubiquitous and plays a significant role in liquid-based energy systems, thermal management devices, and microfluidics. While the spreading of non-volatile droplets is quantitatively understood, the spreading and flow…

流体动力学 · 物理学 2023-08-24 Zhenying Wang , George Karapetsas , Prashant Valluri , Chihiro Inoue

We study the spreading of viscous drops on a solid substrate, taking into account the effects of thermal fluctuations in the fluid momentum. A nonlinear stochastic lubrication equation is derived, and studied using numerical simulations and…

统计力学 · 物理学 2015-06-25 Benny Davidovitch , Esteban Moro , Howard A. Stone

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…

软凝聚态物质 · 物理学 2012-06-18 M. N. Popescu , G. Oshanin , S. Dietrich , A. -M. Cazabat

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…

流体动力学 · 物理学 2017-05-09 Feng Xu , Oliver E. Jensen

This paper is devoted to the asymptotic analysis of a thin film equation which describes the evolution of a thin liquid droplet on a solid support driven by capillary forces. We propose an analytic framework to rigorously investigate the…

偏微分方程分析 · 数学 2019-01-29 Matias G. Delgadino , Antoine Mellet

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…

流体动力学 · 物理学 2018-07-27 Feng Xu , Sam Coveney , Oliver E. Jensen

The early stages of sintering of highly viscous droplets are very similar to the early stages of a viscous droplet spreading on a solid substrate. The flows in both problems are closely analogous to the displacements in a Hertzian elastic…

软凝聚态物质 · 物理学 2019-07-15 Scott T. Milner

In this work we study the spreading dynamics of tiny liquid droplets on solid surfaces in the case where the ends of the molecules feel different interactions with respect to the surface. We consider a simple model of dimers and short…

凝聚态物理 · 物理学 2009-10-28 M. Haataja , J. A. Nieminen , T. Ala-Nissila

The spreading of a cap-shaped spherical droplet of non-Newtonian power-law liquids, both shear-thinning and shear-thinning liquids, that completely wet a spherical substrate is theoretically investigated in the capillary-controlled…

软凝聚态物质 · 物理学 2017-10-12 Masao Iwamatsu

When a liquid droplet completely wets a hard substrate, its spreading dynamics follow Tanner's law, with the droplet radius growing as the one-tenth power of time. Here, we investigate how these dynamics change when silicone oil droplets…

软凝聚态物质 · 物理学 2026-01-14 Lauren Dutcher , Benjamin Baylis , John R. Dutcher , Elie Raphael , Kari Dalnoki-Veress

We investigate the dynamics of spreading of a small liquid droplet in gas in a one-component simple fluid, where the temperature is inhomogeneous around 0.9Tc and latent heat is released or generated at the interface upon evaporation or…

软凝聚态物质 · 物理学 2015-05-18 Ryohei Teshigawara , Akira Onuki

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…

软凝聚态物质 · 物理学 2023-01-25 Alice Pelosse , Élisabeth Guazzelli , Matthieu Roché

We study the spreading dynamics of a sphere-shaped elastic non-Newtonian liquid drop on a spherical substrate in the capillary driven regime. We use the simplified Phan Thien Tanner model to represent the rheology of the elastic…

The dynamics of evaporation of wetting droplets has been investigated experimentally in an extended range of drop sizes, in order to provide trends relevant for a theoretical analysis. A model is proposed, which generalises Tanner's law,…

软凝聚态物质 · 物理学 2016-08-16 Christophe Poulard , Geoffroy Guéna , Anne-Marie Cazabat , A. Boudaoud , M. Ben Amar

Existing energy balance models, which estimate maximum droplet spreading, insufficiently capture the droplet spreading from low to high Weber and Reynolds numbers and contact angles. This is mainly due to the simplified definition of the…

流体动力学 · 物理学 2022-04-12 Yunus Tansu Aksoy , Pinar Eneren , Erin Koos , Maria Rosaria Vetrano

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…

流体动力学 · 物理学 2021-07-01 Maziyar Jalaal , Boris Stoeber , Neil Balmforth

Spreading of nano-droplets is an interesting and technologically relevant phenomenon where thermal fluctuations lead to unexpected deviations from well-known deterministic laws. Here, we apply the newly developed fluctuating non-ideal…

流体动力学 · 物理学 2013-12-24 Markus Gross , Fathollah Varnik
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