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We present a comprehensive theoretical and computational model that explores the behavior of a thin hydrated film bonded to a non-hydrated / impermeable soft substrate in the context of surface and bulk elasticity coupled with surface…

Soft Condensed Matter · Physics 2025-05-07 Jaemin Kim , Keon Ho Kim , Nikolaos Bouklas

The dynamics of thin volatile droplets comprising of binary mixtures deposited on a heated substrate are investigated. Using lubrication theory, we develop a novel one-sided model to predict the spreading and retraction of an evaporating…

Fluid Dynamics · Physics 2020-09-23 A. G. L. Williams. G. Karapetsas , D. Mamalis , K. Sefiane , O. K. Matar , P. Valluri

Liquids in contact with solids are submitted to intermolecular forces making liquids heterogeneous and stress tensors are not any more spherical as in homogeneous bulks. The aim of this article is to show that a square-gradient functional…

Classical Physics · Physics 2017-08-23 Henri Gouin

With the advent of new media art, artists have harnessed fluid dynamics to create captivating visual narratives. A striking technique known as dendritic painting employs mixtures of ink and isopropanol atop paint, yielding intricate…

Fluid Dynamics · Physics 2023-12-12 San To Chan , Eliot Fried

Thermal effect is essential to regulate the interfacial instabilities for diverse technology applications. Here we report the fingering instability at the propagation front for a spreading liquid film subjected to the supercooling at the…

Fluid Dynamics · Physics 2024-07-09 Li Chen , Feng Wang , Yingrui Wang , Peng Huo , Yuqi Li , Xi Gu , Man Hu , Daosheng Deng

In fractured poroelastic media under high differential stress, the shearing of fractures and faults and the corresponding propagation of wing cracks can be induced by fluid injection. Focusing on low-pressure stimulation with fluid…

Numerical Analysis · Mathematics 2023-05-01 Hau Trung Dang , Inga Berre , Eirik Keilegavlen

We present an experimental study of the motion of a viscoelastic micellar material around a moving cylinder, which ranges in response from fluid-like flow to solid-like tearing and fracture, depending on the cylinder radius and velocity.…

Soft Condensed Matter · Physics 2009-11-11 Joseph R. Gladden , Andrew Belmonte

We study the motion of a two-dimensional droplet on an inclined surface, under the action of gravity, using a diffuse interface model which allows for arbitrary equilibrium contact angles. The kinematics of motion is analysed by decomposing…

Soft Condensed Matter · Physics 2015-03-19 Sumesh P. Thampi , Ronojoy Adhikari , Rama Govindarajan

Models and simulations of the flow of thin films of fluids have many important applications in industrial and natural processes. We consider the motion of a thin layer of an incompressible, Newtonian fluid over an arbitrary solid,…

patt-sol · Physics 2007-05-23 Zhenquan Li , A. J. Roberts

In this paper we propose a numerical method to solve the Cauchy problem based on the viscous shallow water equations in an horizontally moving domain. More precisely, we are interested in a flooding and drying model, used to modelize the…

Numerical Analysis · Mathematics 2011-05-09 Bernard Di Martino , Catherine Giacomoni , Jean-Martin Paoli , Pierre Simonnet

Solitary-like surface waves that originate from the spatio-temporal evolution of falling liquid films have been the subject of theoretical and experimental research due to their unique properties that are not readily observed in the…

Fluid Dynamics · Physics 2023-01-10 Ivan S. Maksymov , Andrey Pototsky

Understanding and predicting the spreading of droplets on solid surfaces is crucial in many applications such as inkjet printing, printed electronics and spray coating where the fluid is a suspension and in general non-Newtonian. However,…

Soft Condensed Matter · Physics 2024-08-13 Jennifer Quirke , Matthias E. Möbius

We report an experimental investigation of spreading then shrinking of a surfactant droplet at the air-water interface with fingering instability appearing at the edge of the droplet stain. We find out that a droplet of a surfactant on the…

Fluid Dynamics · Physics 2017-12-15 Saeid Mollaei , Amir H. Darooneh

Molecular dynamics simulations are used to study the spreading of binary polymer nanodroplets in a cylindrical geometry. The polymers, described by the bead-spring model, spread on a flat surface with a surface-coupled Langevin thermostat…

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

Recently, there has been much interest in using lubricated flat and nano-/micro-structured surfaces to achieve extreme liquid-repellency: any foreign droplet immiscible with the underlying lubricant layer was shown to slide off at a small…

Fluid Dynamics · Physics 2017-07-26 Dan Daniel , Jaakko V. I. Timonen , Ruoping Li , Seneca J. Velling , Joanna Aizenberg

When a granular bed is sheared by a fluid that flows above a critical limit, it undergoes a complex motion that varies along time: it can contain fluid- (bedload) and solid-like (creep) regions, being prone to strain hardening and, in case…

Spreading on the free surface of a complex fluid is ubiquitous in nature and industry, owing to the wide existence of complex fluids. Here we report on a fingering instability that develops during Marangoni spreading on a deep layer of…

Fluid Dynamics · Physics 2021-02-03 Xue Ma , Menglin Zhong , Yifeng He , Zhanwei Liu , Zhenzhen Li

Pattern dynamics on curved surfaces are ubiquitous. Although the effect of surface topography on pattern dynamics has gained much interest, there is a limited understanding of the roles of surface geometry and topology in pattern dynamics.…

Pattern Formation and Solitons · Physics 2024-03-27 Ryosuke Nishide , Shuji Ishihara

The spreading of a thin film of suspension on a spinning disk and the accompanying contact line instability is studied through flow visualization experiments. The critical radius for the onset of instability shows an increase with increase…

Soft Condensed Matter · Physics 2016-06-10 Mayuresh Kulkarni , Subhadarshinee Sahoo , Pankaj Doshi , Ashish V. Orpe

The deposition of a viscoplastic fluid onto a substrate can be achieved by simply moving apart two plates initially separated by a fluid filled gap, where the footprint shape depends on the initiation of a fingering instability. Here, we…

Fluid Dynamics · Physics 2025-07-11 Vanessa R. Kern , Pål E. S. Olsen , Marcel Moura , Andreas Carlson
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