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Related papers: Slip-Mediated Dewetting of Polymer Microdroplets

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The dynamics of an oscillated sessile drop of incompressible liquid with the focus on the contact line hysteresis is under theoretical consideration. The solid substrate is subject to transverse oscillations, which are assumed small…

Fluid Dynamics · Physics 2013-05-28 Irina S. Fayzrakhmanova , Arthur V. Straube

In an effort to study the stability of contact lines in fluids, we consider the dynamics of an incompressible viscous Stokes fluid evolving in a two-dimensional open-top vessel under the influence of gravity. This is a free boundary…

Analysis of PDEs · Mathematics 2017-10-25 Yan Guo , Ian Tice

This paper studies the nature of the effective velocity boundary conditions for liquid flow over a plane boundary on which small free-slip islands are randomly distributed. It is found that, to lowest order in the area fraction $\beta$…

Fluid Dynamics · Physics 2009-11-11 M. Sbragaglia , A. Prosperetti

We consider a fluid-structure interaction problem involving a viscous, incompressible fluid flow, modeled by the 2D Navier-Stokes equations, through a thin deformable elastic tube, displacement of which is not known a priori. The…

Analysis of PDEs · Mathematics 2026-04-09 Krutika Tawri , Nash Ward

Geometric confinements are frequently encountered in the biological world and strongly affect the stability, topology, and transport properties of active suspensions in viscous flow. Based on a far-field analytical model, the…

The temperature dependence of the hydrodynamic boundary condition between a PDMS melt and two different non-attractive surfaces made of either an OTS (octadecyltrichlorosilane) self-assembled monolayer (SAM) or a grafted layer of short PDMS…

Accurate prediction of interfacial slip in nanoscale channels is required by many microfluidic applications. Existing hydrodynamic solutions based on Maxwellian boundary conditions include an empirical parameter that depends on material…

Soft Condensed Matter · Physics 2008-07-22 Vlad P. Sokhan , Nicholas Quirke

Lubrication forces depend to a high degree on elasticity, texture, charge, chemistry, and temperature of the interacting surfaces. Therefore, by appropriately designing surface properties, we may tailor lubrication forces to reduce…

Soft Condensed Matter · Physics 2020-08-19 Aidan Rinehart , Uǧis L{ā}cis , Thomas Salez , Shervin Bagheri

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

We study the slippage of a gas along mobile rigid walls in the sphere-plane confined geometry and find that it varies considerably with pressure. The classical no-slip boundary condition valid at ambient pressure changes continuously to an…

Fluid Dynamics · Physics 2011-10-12 J. Laurent , A. Drezet , H. Sellier , J. Chevrier , S. Huant

Evaporation of water droplets on a superhydrophobic substrate, on which the contact line is pinned, is investigated. While previous studies mainly focused on droplets with contact angles smaller than 90^\circ, here we analyze almost the…

We present a comprehensive study of water drops sliding down chemically heterogeneous surfaces formed by a periodic pattern of alternating hydrophobic and hydrophilic stripes. Drops are found to undergo a stick-slip motion whose average…

Understanding confined flows of complex fluids requires simultaneous access to the mechanical behaviour of the liquid and the boundary condition at the interfaces. Here, we use evanescent wave microscopy to investigate near-surface flows of…

Soft Condensed Matter · Physics 2020-12-01 Gabriel Guyard , Alexandre Vilquin , Nicolas Sanson , Frederic Restagno , Joshua D. Mcgraw

A fluid droplet in general deforms, if subject to active driving, such as a finite slip velocity or active tractions on its interface. We show that these deformations and their dynamics can be computed analytically in a perturbation theory…

Soft Condensed Matter · Physics 2023-04-19 Reiner Kree , Annette Zippelius

The ability to transfer microdroplets between fluid phases offers numerous advantages in various fields, enabling better control, manipulation, and utilization of small volumes of fluids in pharmaceutical formulations, microfluidics, and…

Fluid Dynamics · Physics 2024-03-26 Haichang Yang , Binglin Zeng , Qiuyun Lu , Yaowen Xing , Xiahui Gui , Yijun Cao , Ben Bin Xu , Xuehua Zhang

Curtain coating, in which a moving plate is coated by a falling liquid sheet, sustains advancing contact lines at large capillary numbers Ca ~ O(1), based on plate speed. Steady states exist up to a critical capillary number, beyond which…

Fluid Dynamics · Physics 2026-05-04 Yash Kulkarni , Tomas Fullana , Stephane Popinet , Stephane Zaleski

Nanodroplets residing near wedges or edges of solid substrates exhibit a disjoining pressure induced dynamics. Our nanoscale hydrodynamic calculations reveal that non-volatile droplets are attracted or repelled from edges or wedges…

Soft Condensed Matter · Physics 2009-11-11 A. Moosavi , M. Rauscher , S. Dietrich

The spreading of a pure, volatile liquid on a wettable substrate has been studied in extensive detail. Here we show that the addition of a miscible, non-volatile liquid can strongly alter the contact line dynamics and the final liquid…

Soft Condensed Matter · Physics 2020-02-19 Asher P. Mouat , Clay E. Wood , Justin E. Pye , Justin C. Burton

The dynamic of contact formation between soft materials immersed in a fluid is accompanied by fluid drainage and elastic deformation. As a result, controlling the coupling between lubrication pressure and elasticity provides strategies to…

Soft Condensed Matter · Physics 2018-10-01 Yumo Wang , Joelle Frechette

We simulate the mesoscopic dynamics of droplets formed by phase separated fluids at nanometer scales where thermal fluctuations are significant. Both spherical droplets fully immersed in a second fluid and sessile droplets which are also in…

Fluid Dynamics · Physics 2024-11-18 John B. Bell , Andrew Nonaka , Alejandro L. Garcia