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This paper presents an analytical investigation of the solutions to a control volume model for liquid films flowing down a vertical fibre. The evolution of the free surface is governed by a coupled system of degenerate nonlinear partial…

偏微分方程分析 · 数学 2024-02-13 Roman M. Taranets , Hangjie Ji , Marina Chugunova

Ultrathin polymer films that are produced e.g. by spin-coating are believed to be stressed since polymers are 'frozen in' into out-of-equilibrium configurations during this process. In the framework of a viscoelastic thin film model, we…

软凝聚态物质 · 物理学 2011-03-01 Falko Ziebert , Elie Raphael

A gradient dynamics model based on an extended interface Hamiltonian is presented that is able to describe the dynamics of structuring processes in thin films of liquid mixtures, solutions and suspensions on solid substrates including…

软凝聚态物质 · 物理学 2014-05-13 Uwe Thiele , Desislava V. Todorova , Hender Lopez

In this technical report, we consider a nonlinear 4th-order degenerate parabolic partial differential equation that arises in modelling the dynamics of an incompressible thin liquid film on the outer surface of a rotating horizontal…

偏微分方程分析 · 数学 2009-10-28 Marina Chugunova , M. C. Pugh , R. M. Taranets

A continuum dynamical model is developed to determine the morphological and compositional instabilities on the free surface of heteroepitaxial alloy films in the absence of growth. We use linear stability analysis to study the early…

统计力学 · 物理学 2009-11-07 Zhi-Feng Huang , Rashmi C. Desai

Dewetting of thin polystyrene films deposited onto silicone wafers at temperatures close to the glass transition exhibits unusual dynamics and front morphologies. Here, we present a new theoretical approach of these phenomena taking into…

软凝聚态物质 · 物理学 2007-05-23 Elie Raphael , Thomas Vilmin

We present the results of large scale simulations of 4th order nonlinear partial differential equations of dif- fusion type that are typically encountered when modeling dynamics of thin fluid films on substrates. The simulations are based…

流体动力学 · 物理学 2018-06-28 Michael-Angelo Y. -H. Lam , Linda J. Cummings , Lou Kondic

The out-of-plane vibration of a rough surface causes an in-plane vibration of its speckle pattern when observed with a defocused optical photographic system. If the frequency of the oscillations is high enough, a time-averaged specklegram…

光学 · 物理学 2014-03-24 Jose M. Diazdelacruz

When a droplet impacts a liquid film, a vortex ring form and govern momentum and species transport. We experimentally investigate vortex ring formation, propagation and instability during droplet impact onto liquid films, with particular…

Switchable and adaptive substrates emerged as valuable tools for the control of wetting and actuation of droplet motion. Here we report a computational study of the dynamics of an unstable thin liquid film deposited on a switchable…

流体动力学 · 物理学 2024-01-03 Stefan Zitz , Andrea Scagliarini , Jens Harting

Paints and coatings often feature interfacial defects due to disturbances during the deposition process which, if they persist until solidification, worsen the product quality. In this article, we investigate the stability of a thin liquid…

流体动力学 · 物理学 2023-07-26 David Barreiro-Villaverde , Anne Gosset , Marcos Lema , Miguel Alfonso Mendez

Pulsatile flows are common in nature and in applications, but their stability and transition to turbulence are still poorly understood. Even in the simple case of pipe flow subject to harmonic pulsation, there is no consensus among…

流体动力学 · 物理学 2019-02-20 Duo Xu , Marc Avila

Hydrodynamic instability of a gravity-driven flow down an inclined plane is investigated in the presence of a floating elastic plate which rests on the top surface of the flow. Linear instability of the system with respect to infinitesimal…

流体动力学 · 物理学 2020-03-17 Siluvai Antony Selvan , Sukhendu Ghosh , Harekrushna Behera , Michael H. Meylan

We consider here the effects of inertia on the instability of a flat liquid film under the effects of capillary and intermolecular forces (van der Waals interaction). Firstly, we perform the linear stability analysis within the long wave…

流体动力学 · 物理学 2016-01-20 A. G. González , J. A. Diez , M. Sellier

In the vicinity of their glass transition, dense colloidal suspensions acquire elastic properties over experimental timescales. We investigate the possibility of a visco-elastic flow instability in curved geometry for such materials. To…

软凝聚态物质 · 物理学 2015-08-21 Alexandre Nicolas , Matthias Fuchs

We study the deformation and dewetting of liquid films under impinging gas jets using experimental, analytical and numerical techniques. We first derive a reduced-order model (a thin-film equation) based on the long-wave assumption and on…

流体动力学 · 物理学 2020-12-02 C. J. Ojiako , R. Cimpeanu , H. Bandulasena , R. Smith , D. Tseluiko

Starting from a nonlinear 2D/1D fluid-structure interaction problem between a thin layer of a viscous fluid and a thin elastic structure, on the vanishing limit of the relative fluid thickness, we rigorously derive a sixth-order thin-film…

偏微分方程分析 · 数学 2022-07-27 Mario Bukal , Boris Muha

We investigate the wrinkling dynamics of a thin elastic sheet that is indented or compressed while floating on a viscous liquid. We show that the deformation speed controls the dynamics, leading to a wrinkle wavelength significantly smaller…

软凝聚态物质 · 物理学 2026-01-21 Ayrton Draux , Marco Rizzo , Dominic Vella , Vincent Démery , Fabian Brau , Pascal Damman

We investigate the linear stability of a thin, suspended, annular film of conducting fluid with a voltage difference applied between its inner and outer edges. For a sufficiently large voltage, such a film is unstable to radially-driven…

patt-sol · 物理学 2009-10-31 Zahir A. Daya , V. B. Deyirmenjian , Stephen W. Morris

Thin metal films are subject to the pressure caused by the zero point oscillations of the electromagnetic field, which depends upon the film optical properties and, in case of deposition onto a substrate, upon the substrate reflectivity. It…

量子物理 · 物理学 2009-11-13 Andrea Benassi , Carlo Calandra