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We propose a particle-based method to simulate thin-film fluid that jointly facilitates aggressive surface deformation and vigorous tangential flows. We build our dynamics model from the surface tension driven Navier-Stokes equation with…

Fluid Dynamics · Physics 2021-05-18 Mengdi Wang , Yitong Deng , Xiangxin Kong , Aditya H. Prasad , Shiying Xiong , Bo Zhu

The evolution of the interface separating a conduit of light, viscous fluid rising buoyantly through a heavy, more viscous, exterior fluid at small Reynolds numbers is governed by the interplay between nonlinearity and dispersion. Previous…

Fluid Dynamics · Physics 2015-06-16 Nicholas K. Lowman , Mark A. Hoefer

In this article, we have developed a computational model to determine the droplet formation regime and its transition in a square microfluidic flow-focusing device that eventually dictate the droplet shape, size, and its formation…

Fluid Dynamics · Physics 2025-10-28 Somasekhara Goud Sontti , Arnab Atta

The main causes of energy dissipation in micro- and nano-scale wetting are viscosity and liquid-solid friction localized in the three-phase contact line region. Theoretical models predict the contactline friction coefficient to correlate…

Fluid Dynamics · Physics 2024-02-12 Michele Pellegrino , Berk Hess

We analyze two representative systems containing a three-phase-contact line: a liquid lens at a fluid--fluid interface and a liquid drop in contact with a gas phase residing on a solid substrate. We discuss to which extent the decomposition…

Soft Condensed Matter · Physics 2009-11-13 L. Schimmele , M. Napiorkowski , S. Dietrich

In this paper, a thermal-dynamical consistent model for mass transfer across permeable moving interfaces is proposed by using the energy variation method. We consider a restricted diffusion problem where the flux across the interface…

Numerical Analysis · Mathematics 2022-06-15 Yuzhe Qin , Huaxiong Huang , Yi Zhu , Chun Liu , Shixin Xu

The hypersphere model is a simple one-parameter model of the potential energy landscape of viscous liquids, which is defined as a percolating system of same-radius hyperspheres randomly distributed in $\mathbb{R}^{3N}$ in which $N$ is the…

Soft Condensed Matter · Physics 2025-05-02 Mark F. B. Railton , Eva Uhre , Jeppe C. Dyre , Thomas B. Schrøder

A phase--field method is applied to the modeling of flow and breakup of droplets in a T--shaped junction in the hydrodynamic regime where capillary and viscous stresses dominate over inertial forces, which is characteristic of microfluidic…

Soft Condensed Matter · Physics 2009-11-11 Mario De Menech

We propose a method for effectively upscaling incompressible viscous flow in large random polydispersed sphere packings: the emphasis of this method is on the determination of the forces applied on the solid particles by the fluid. Pore…

Soft Condensed Matter · Physics 2015-03-19 B. Chareyre , A. Cortis , E. Catalano , E. Barthélémy

In this fluid dynamics video we explore an array of different possible dynamics for a flexible filament sedimenting in a viscous fluid. The time-dependent shapes and trajectories of the filament are determined analytically and numerically…

Fluid Dynamics · Physics 2013-10-03 Harishankar Manikantan , Lei Li , David Saintillan , Saverio E. Spagnolie

We present an hybrid VOF/embedded boundary method allowing to model two-phase flows in presence of solids with arbitrary shapes. The method relies on the coupling of existing methods: a geometric Volume of fluid (VOF) method to tackle the…

We propose a theoretical framework to predict the three-dimensional shapes of optically deformed micron-sized emulsion droplets with ultra-low interfacial tension. The resulting shape and size of the droplet arises out of a balance between…

Soft Condensed Matter · Physics 2015-06-16 David Tapp , Jonathan M. Taylor , Alex S. Lubanksy , Colin D. Bain , Buddhapriya Chakrabarti

The dynamic interaction of complex fluid interfaces is highly sensitive to near-contact interactions occurring at the scale of ten of nanometers. Such interactions are difficult to analyse because they couple self-consistently to the…

Soft Condensed Matter · Physics 2020-05-14 A. Tiribocchi , A. Montessori , S. Miliani , M. Lauricella , M. La Rocca , S. Succi

The proposed method aims to approximate a solution of a fluid-fluid interaction problem in case of low viscosities. The nonlinear interface condition on the joint boundary allows for this problem to be viewed as a simplified version of the…

Numerical Analysis · Mathematics 2020-04-22 Mustafa Aggul , Fatma G. Eroglu , Songül Kaya , Alexander E. Labovsky

The effect of rigid surfaces on the dynamics of thin liquid films which are amenable to the lubrication approximation is considered. It is shown that the Helfrich energy of the layer gives rise to additional terms in the time-evolution…

Pattern Formation and Solitons · Physics 2015-05-27 Michael H. Köpf , Svetlana V. Gurevich , Thomas Wulf , Rudolf Friedrich

We study the shape differentiability of a general functional depending on the solution of a bidimensional stationary Stokes-Elasticity system, with respect to the reference domain of the elastic structure immersed in a viscous fluid. The…

Analysis of PDEs · Mathematics 2022-10-13 V. Calisti , I. Lucardesi , J. -F. Scheid

Surfactants have important effects on the dynamics of droplets on solid surfaces, which has inspired many industrial applications. Phase-field surfactant model with moving contact lines (PFS-MCL) has been employed to investigate the complex…

Numerical Analysis · Mathematics 2025-10-21 Wei Wu , Zhen Zhang , Chaozhen Wei

We consider the numerical approximations of a two-phase hydrodynamics coupled phase-field model that incorporates the variable densities, viscosities and moving contact line boundary conditions. The model is a nonlinear, coupled system that…

Numerical Analysis · Mathematics 2017-02-15 Haijun Yu , Xiaofeng Yang

We consider free surface instabilities of films flowing on inverted substrates within the framework of lubrication approximation. We allow for the presence of fronts and related contact lines, and explore the role which they play in…

Fluid Dynamics · Physics 2015-03-13 Te-sheng Lin , Lou Kondic

In recent years, there has been a considerable interest in the mechanics of soft objects meeting fluid interfaces (elasto-capillary interactions). In this work we experimentally examine the case of a fluid resting on a thin film of rigid…

Soft Condensed Matter · Physics 2018-04-24 Timothy Twohig , Sylvio May , Andrew B. Croll
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