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We consider the equilibrium of liquid droplets sitting on thin elastic sheets that are subject to a boundary tension and/or are clamped at their edge. We use scaling arguments, together with a detailed analysis based on the…

Soft Condensed Matter · Physics 2019-03-20 Benny Davidovitch , Dominic Vella

The classical no-slip boundary condition of the Navier-Stokes equations fails to describe the spreading motion of a droplet on a substrate due to the missing small-scale physics near the contact line. In this thesis, we introduce a novel…

Fluid Dynamics · Physics 2024-09-27 Khang Ee Pang

We examine the spreading of a suspension of non-Brownian spheres suspended in a Newtonian liquid on a solid substrate. We show that the spreading dynamics is well described by the classical Cox-Voinov law provided the value of the fluid…

Droplets move on substrates with a spatio-temporal wettability pattern as generated, for example, on light-switchable surfaces. To study such cases, we implement the boundary-element method to solve the governing Stokes equations for the…

Fluid Dynamics · Physics 2021-03-16 Josua Grawitter , Holger Stark

The coalescence and breakup of drops are classic examples of flows that feature singularities. The behavior of viscoelastic fluids near these singularities is particularly intriguing - not only because of their added complexity, but also…

Fluid Dynamics · Physics 2026-01-21 Paul R. Kaneelil , Kazuki Tojo , Palas Kumar Farsoiya , Luc Deike , Howard A. Stone

A nonlinear dynamical system model that approximates a microscopic Gibbs field model for the yielding of a viscoplastic material subjected to varying external stress recently reported in [1] is presented. The predictions of the model are in…

Soft Condensed Matter · Physics 2016-10-04 Sainudiin Raazesh , Moyers-Gonzalez Miguel , Burghelea Teodor

We propose a novel approach to the numerical simulation of thin film flows, based on the lattice Boltzmann method. We outline the basic features of the method, show in which limits the expected thin film equations are recovered and perform…

Computational Physics · Physics 2019-10-02 Stefan Zitz , Andrea Scagliarini , Suryanarayana Maddu Kondaiah , Anton A. Darhuber , Jens Harting

The dynamic scaling of mesoscopically thick films (up to $10^{4}$ atomic layers) grown with the Clarke-Vvedensky model is investigated numerically for broad ranges of values of the diffusion-to-deposition ratio $R$ and lateral neighbor…

Statistical Mechanics · Physics 2015-04-17 T. A. de Assis , F. D. A. Aarão Reis

Droplet impact on thin liquid films is commonly studied on quiescent surfaces, although practical systems often involve residual capillary waves generated by preceding droplets. This study examines how such traveling waves modify impact…

Fluid Dynamics · Physics 2026-05-11 Hatim Ennayar , Frederik Roy Patria , Jeanette Hussong

Impact of droplets of varying surface tension and subsequent spreading over a solid surface are inherent features in printing applications. In this regard, an experimental study of impact of two drops of varied surface tension is carried…

Fluid Dynamics · Physics 2023-10-04 Pragyan Kumar Sarma , Purbarun Dhar , Anup Paul

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

We experimentally investigated the splashing of dense suspension droplets impacting a solid surface, extending prior work to the regime where the viscosity of the suspending liquid becomes a significant parameter. The overall behavior can…

We study the dynamic wetting of a self-propelled viscous droplet using the time-dependent lubrication equation on a conical-shaped substrate for different cone radii, cone angles and slip lengths. The droplet velocity is found to increase…

Fluid Dynamics · Physics 2020-08-10 T. S. Chan , C. Pedersen , J. Koplik , A. Carlson

We study the rolling and sliding motion of droplets on a corrugated substrate by Molecular Dynamics simulations. Droplets are driven by an external body force (gravity) and we investigate the velocity profile and dissipation mechanisms in…

Soft Condensed Matter · Physics 2009-11-13 J. Servantie , M. Müller

We study steady-state thin films on a chemically heterogeneous substrates of finite size, subject to no-flux boundary conditions. Based on the structure of the bifurcation diagram, we classify the one-dimensional steady-state solutions that…

Fluid Dynamics · Physics 2021-11-16 Weifan Liu , Thomas P. Witelski

Liquid drops start spreading directly after coming into contact with a solid sub- strate. Although this phenomenon involves a three-phase contact line, the spread- ing motion can be very fast. We experimentally study the initial spreading…

Fluid Dynamics · Physics 2015-06-11 Antonin Eddi , Koen G. Winkels , Jacco H. Snoeijer

This is an entry for the Gallery of Fluid Motion of the 61st Annual Meeting of the APS-DFD (fluid dynamics videos). This video shows the collision and rebound of viscoelastic drops against a solid wall. Using a high speed camera, the…

Fluid Dynamics · Physics 2008-10-13 Federico Hernandez-Sanchez , Rene Ledesma , Roberto Zenit

Strongly non-Newtonian fluids namely, aqueous gels of starch, are shown to exhibit visco-elastic behavior, when subjected to a load. We study arrowroot and potato starch gels. When a droplet of the fluid is sandwiched between two glass…

Soft Condensed Matter · Physics 2015-05-28 Moutushi Dutta Choudhury , Subrata Chandra , Soma Nag , Shantanu Das , Sujata Tarafdar

We consider the dynamics of a thin liquid film in the attractive substrate potential and under the action of a longitudinal or a tilted vibration. Using a multiscale technique we split the film motion into the oscillatory and the averaged…

Fluid Dynamics · Physics 2015-05-13 S. Shklyaev , A. A. Alabuzhev , M. Khenner

The paper develops a continuum theory of weak viscoelastic nematodynamics of Maxwell type. It may describe the molecular elasticity effects in mono-domain flows of liquid crystalline polymers as well as the viscoelastic effects in…

Soft Condensed Matter · Physics 2007-05-23 Arkady I. Leonov
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