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Related papers: Stability of capillary surfaces supported by a hel…

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Remarkably, the interface of a fluid droplet will produce visible capillary waves when exposed to acoustic waves. For example, a small ($\sim\! 1 \mu$L) sessile droplet will oscillate at a low $\sim\!10^2$~Hz frequency when weakly driven by…

Fluid Dynamics · Physics 2022-12-20 Shuai Zhang , Jeremy Orosco , James Friend

Motivated by studies suggesting that the patterns exhibited by the collectively expanding fronts of thin cells during the closing of a wound [Mark et al., Biophys. J., 98:361-370, 2010] and the shapes of single cells crawling on surfaces…

Soft Condensed Matter · Physics 2018-03-14 Amarender Nagilla , Ranganathan Prabhakar , Sameer Jadhav

We use confocal microscopy to study an equilibrated crystal-liquid interface in a colloidal suspension. Capillary waves roughen the surface, but locally the intrinsic interface is sharply defined. We use local measurements of the structure…

Soft Condensed Matter · Physics 2009-09-28 Jessica Hernández-Guzmán , Eric R. Weeks

This paper studies the dynamics of an incompressible fluid driven by gravity and capillarity forces in a porous medium. The main interest is the stabilization of the fluid in Rayleigh-Taylor unstable situations where the fluid lays on top…

Analysis of PDEs · Mathematics 2019-11-11 Francisco Gancedo , Rafael Granero-Belinchon , Stefano Scrobogna

We numerically study two-component capillary bridges formed when a liquid droplet is placed in between two liquid infused surfaces (LIS). In contrast to commonly studied one-component capillary bridges on non-infused solid surfaces,…

Computational Physics · Physics 2020-12-17 Alvin C. M. Shek , Ciro Semprebon , Jack R. Panter , Halim Kusumaatmaja

We study the microscale propulsion of a rotating helical filament confined by a cylindrical tube, using a boundary-element method for Stokes flow that accounts for helical symmetry. We determine the effect of confinement on swimming speed…

Fluid Dynamics · Physics 2014-01-09 Bin Liu , Kenneth S. Breuer , Thomas R. Powers

Planes and circular cylinders are models of interfaces of a fluid when the support surface is translationally invariant in a direction of the space. After a study of the eigenvalues of the Jacobi operator, it is investigated when planar…

Differential Geometry · Mathematics 2025-05-05 Rafael López

The elastocapillary instability of a flexible plate plunged in a liquid bath is analysed theoretically. We show that the plate can bend due to two separate destabilizing mechanisms, when the liquid is partially wetting the solid. For…

Fluid Dynamics · Physics 2015-05-30 Bruno Andreotti , Antonin Marchand , Siddhartha Das , Jacco H. Snoeijer

The surface free energy, or surface tension, of a liquid interface gives rise to a pressure jump when the interface is curved. Here we show that a similar capillary pressure arises at the interface of soft solids. We present experimental…

Fluid Dynamics · Physics 2015-06-03 Antonin Marchand , Siddhartha Das , Jacco H. Snoeijer , Bruno Andreotti

We study the linear stability of the flow of a viscous electrically conducting capillary fluid on a planar fixed plate in the presence of gravity and a uniform magnetic field. We first confirm that the Squire transformation for MHD is…

Fluid Dynamics · Physics 2017-05-24 D. Giannakis , R. Rosner , P. Fischer

Dense arrays of soft hair-like structures protruding from surfaces in contact with fluids are ubiquitous in living systems. Fluid flows can easily deform these soft hairs which in turn impacts the flow properties. At the microscale, flows…

Soft Condensed Matter · Physics 2026-02-05 Etienne Jambon-Puillet

The translation and shape deformations of a passive viscous Newtonian droplet immersed in an active nematic liquid crystal under circular confinement are analyzed using a linear stability analysis. We focus on the case of a sharply aligned…

Soft Condensed Matter · Physics 2025-07-29 Tanumoy Dhar , Michael J. Shelley , David Saintillan

Morphological instability of the solid-liquid interface occuring in a crystal growing from an undercooled thin liquid being bounded on one side by a free surface and flowing down inclined plane is investigated by a linear stability analysis…

Materials Science · Physics 2009-11-10 K. Ueno

We consider a two-dimensional, pure capillary drop of nearly-circular shape, having constant vorticity. We write the Craig-Sulem equations on the unit circle, then on the flat torus. We show their Hamiltonian structure and we then observe…

Analysis of PDEs · Mathematics 2026-03-06 Giuseppe La Scala

We study immiscible two-phase flow of a compressible and an incompressible fluid inside a capillary tube of varying radius under steady-state conditions. The incompressible fluid is Newtonian and the compressible fluid is an inviscid ideal…

Fluid Dynamics · Physics 2022-07-22 Hyejeong L. Cheon , Hursanay Fyhn , Alex Hansen , Øivind Wilhelmsen , Santanu Sinha

We present a computational framework to address the flow of two immiscible viscous liquids which co-flow into a shallow rectangular container at one side, and flow out into a holding container at the opposite side. Assumptions based on the…

Fluid Dynamics · Physics 2013-09-02 Shahriar Afkhami , Yuriko Renardy

Our understanding of both structure and dynamics of adsorbed liquids heavily relies on the capillary wave Hamiltonian, but a thorough test of this model is still lacking. Here we study the capillary wave fluctuations of a liquid film with…

Soft Condensed Matter · Physics 2013-09-06 Luis G. MacDowell , Jorge Benet , Nebil A. Katcho

In this paper, the interfacial motion between two immiscible viscous fluids in the confined geometry of a Hele-Shaw cell is studied. We consider the influence of a thin wetting film trailing behind the displaced fluid, which dynamically…

Fluid Dynamics · Physics 2021-06-16 Pedro H. A. Anjos , M. Zhao , J. Lowengrub , Weizhu Bao , Shuwang Li

The presented investigation is motivated by the need to uncover connections between underlying rotor fluid-structure interactions and vortex dynamics to fatigue performance and characterization of flexible rotor blades, their hub, and their…

Fluid Dynamics · Physics 2021-05-18 Steven N. Rodriguez , Justin W. Jaworski , John G. Michopoulos

We review and compare recent work on the properties of fluctuating interfaces between nematic and isotropic liquid-crystalline phases. Molecular dynamics and Monte Carlo simulations have been carried out for systems of ellipsoids and hard…

Soft Condensed Matter · Physics 2013-03-19 Friederike Schmid , Guido Germano , Stefan Wolfsheimer , Tanja Schilling