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We discuss a thin film evolution equation for a wetting evaporating liquid on a smooth solid substrate. The model is valid for slowly evaporating small sessile droplets when thermal effects are insignificant, while wettability and…

Soft Condensed Matter · Physics 2012-04-11 Desislava Todorova , Uwe Thiele , Len M. Pismen

We consider a two-dimensional motion of a thin film flowing down an inclined plane under the influence of the gravity and the surface tension. In order to investigate the stability of such flow, it is hard to treat the Navier--Stokes…

Analysis of PDEs · Mathematics 2015-12-01 Hiroki Ueno , Akinori Shiraishi , Tatsuo Iguchi

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…

Fluid Dynamics · Physics 2024-01-03 Stefan Zitz , Andrea Scagliarini , Jens Harting

We perform a three-dimensional study of steady state viscous fingers that develop in linear channels. By means of a three-dimensional Lattice-Boltzmann scheme that mimics the full macroscopic equations of motion of the fluid momentum and…

Fluid Dynamics · Physics 2009-11-13 R. Ledesma-Aguilar , I. Pagonabarraga , A. Hernandez-Machado

We discuss a 1D variational problem modeling an elastic sheet on water, lifted at one end. Its terms include the membrane and bending energy of the sheet as well as terms due to gravity and surface tension. By studying a suitable…

Analysis of PDEs · Mathematics 2020-05-20 David Padilla-Garza

We investigate the dynamical behavior of binary fluid systems in two dimensions using dissipative particle dynamics. We find that following a symmetric quench the domain size R(t) grows with time t according to two distinct algebraic laws…

comp-gas · Physics 2009-10-28 Peter V. Coveney , Keir E. Novik

We provide an ab-initio scaling analysis for liquid film thickness and Nusselt number of a steady laminar jet impacting a rotating heated plate. The limiting scaling regimes incorporating the evaporative effects along the liquid-vapor…

Fluid Dynamics · Physics 2024-06-19 Durbar Roy , Saptarshi Basu

We present experimental evidence of global viscoelastic flow transitions in 2:1, 8:1 and 32:1 planar contractions under inertia-less conditions. Light sheet visualization and laser Doppler velocimetry techniques are used to probe spatial…

Soft Condensed Matter · Physics 2011-02-10 Lars Geneiser , Arvind Gopinath , Robert Armstrong , Robert Brown

The instability, dynamics and morphological transitions of patterns in thin liquid films on periodic striped surfaces (consisting of alternating less and more wettable stripes) are investigated based on 3-D nonlinear simulations that…

Soft Condensed Matter · Physics 2009-11-07 K. Kargupta , A. Sharma

Analysing the dynamics of phase-changing liquid films is essential for enhancing the performance of thermal management systems. Still, direct simulation of the full governing equations is computationally expensive. To circumvent this…

Fluid Dynamics · Physics 2025-12-25 Fabio Pino

In this work we consider theoretically the problem of a Newtonian droplet moving in an otherwise quiescent infinite viscoelastic fluid under the influence of an externally applied temperature gradient. The outer fluid is modelled by the…

Free interfaces of liquid crystals tend to minimise both capillarity and anchoring forces. Here we study nematic films in planar and radial geometries with antagonistic anchoring boundary conditions and one deformable interface. Assuming a…

Soft Condensed Matter · Physics 2014-06-17 O V Manyuhina

We analyze theoretically a high-speed drainage of liquid films squeezed between a hydrophilic sphere and a textured super-hydrophobic plane, that contains trapped gas bubbles. A super-hydrophobic wall is characterized by parameters $L$…

Fluid Dynamics · Physics 2014-01-23 Evgeny S. Asmolov , Aleksey V. Belyaev , Olga I. Vinogradova

Cell monolayers and epithelial tissues display slow dynamics during the liquid-glass transitions, a phenomenon with direct relevance to embryogenesis, tumor metastases, and wound healing. In active cells, persistent motion and cell…

Soft Condensed Matter · Physics 2024-01-25 Meng-Yuan Li , Yan-Wei Li

We present a modification of a recently developed volume of fluid method for multiphase problems, so that it can be used in conjunction with a fractional step-method and fast Poisson solver, and validate it with standard benchmark problems.…

Fluid Dynamics · Physics 2018-07-06 Marco Edoardo Rosti , Francesco De Vita , Luca Brandt

In this paper, I consider a thin suspended liquid film, surrounded by a different fluid. Examples of such a system are soap films and liquid crystal films, surrounded by air. They are considered good models for two dimensional fluid…

Fluid Dynamics · Physics 2011-03-25 Doriano Brogioli

A novel liquid-liquid phase transition has been proposed and investigated in a wide variety of pure substances recently, including water, silica and silicon. From computer simulations using the Stillinger-Weber classical empirical…

Statistical Mechanics · Physics 2015-05-27 Vishwas V Vasisht , Shibu Saw , Srikanth Sastry

We propose a physical model which explains the existence of finite thickness wetting layers in epitaxially strained films. The finite wetting layer is shown to be stable due to the variation of the non-linear elastic free energy with film…

Materials Science · Physics 2009-10-31 Helen R. Eisenberg , Daniel kandel

We consider the simulation of isentropic flow in pipelines and pipe networks. Standard operating conditions in pipe networks suggest an emphasis to simulate low Mach and high friction regimes -- however, the system is stiff in these regimes…

Numerical Analysis · Mathematics 2025-07-22 Michael Redle , Michael Herty

The so-called Landau-Levich-Deryaguin problem treats the coating flow dynamics of a thin viscous liquid film entrained by a moving solid surface. In this context, we use a simple experimental set-up consisting of a partially-immersed…

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