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We investigate theoretically and numerically the impact of an elastic sphere on a rigid wall in a viscous fluid. Our focus is on the dynamics of the contact, employing the soft lubrication model in which the sphere is separated from the…

Soft Condensed Matter · Physics 2024-05-08 Vincent Bertin

Adhesive contact between a thin elastic sheet and a substrate in a liquid environment arises in a range of biological, physical and technological applications. By considering the dynamics of this process that naturally couples fluid flow,…

Fluid Dynamics · Physics 2015-08-26 Andreas Carlson , Shreyas Mandre , L. Mahadevan

Contact between fluctuating, fluid-lubricated soft surfaces is prevalent in engineering and biological systems, a process starting with adhesive contact, which can give rise to complex coarsening dynamics. One representation of such a…

Soft Condensed Matter · Physics 2026-01-14 Vira Dhaliwal , Jingbang Liu , Andreas Carlson

The motion of an object within a viscous fluid and in the vicinity of a soft surface induces a hydrodynamic stress field that deforms the latter, thus modifying the boundary conditions of the flow. This results in elastohydrodynamic (EHD)…

Soft Condensed Matter · Physics 2023-06-22 Vincent Bertin , Yacine Amarouchene , Elie Raphael , Thomas Salez

Inspired by recent experimental observations of a harmonically excited elastic foil hovering near a wall while supporting substantial weight, we develop a theoretical framework that describes the underlying physical effects. Using…

Fluid Dynamics · Physics 2025-12-02 Stephane Poulain , Timo Koch , L. Mahadevan , Andreas Carlson

Soft lubrication has been shown to drastically affect the mobility of an object immersed in a viscous fluid in the vicinity of a purely elastic wall. In this theoretical study, we develop a minimal model incorporating viscoelasticity,…

A rigid object moving in a viscous fluid and in close proximity with an elastic wall experiences self-generated elastohydrodynamic interactions. This has been the subject of an intense research activity, with a recent and growing attention…

Soft Condensed Matter · Physics 2023-07-04 Aditya Jha , Yacine Amarouchene , Thomas Salez

Thin film rupture is a type of nonlinear instability that causes the solution to touch down to zero at finite time. We investigate the finite-time rupture behavior of a generalized elastohydrodynamic lubrication model. This model features…

Analysis of PDEs · Mathematics 2022-10-11 William Chang , Hanjie Ji

Buckling induced by viscous flow changes the shape of sheet-like nanomaterial particles suspended in liquids. This instability at the particle scale affects collective behavior of suspension flows and has many technological and biological…

Fluid Dynamics · Physics 2023-03-10 Hugo Perrin , Heng Li , Lorenzo Botto

The adhesion between dry solid surfaces is typically governed by contact forces, involving surface forces and elasticity. For surfaces immersed in a fluid, out-of-contact adhesion arises due to the viscous resistance to the opening of the…

Soft Condensed Matter · Physics 2024-09-18 Vincent Bertin , Alexandros T. Oratis , Jacco H. Snoeijer

We study the dynamics of the interface between two immiscible fluids in contact with a chemically homogeneous moving solid plate. We consider the generic case of two fluids with any viscosity ratio and of a plate moving in either directions…

Fluid Dynamics · Physics 2015-06-15 T. S. Chan , S. Srivastava , A. Marchand , B. Andreotti , L. Biferale , F. Toschi , J. H. Snoeijer

An elastic sheet that deforms near a solid substrate in a viscous fluid is a situation relevant to various dynamical processes in biology, geophysics and engineering. Here, we study the relaxation dynamics of an elastic plate resting on a…

Fluid Dynamics · Physics 2019-11-14 Christian Pedersen , John Niven , Thomas Salez , Kari Dalnoki-Veress , Andreas Carlson

Inspired by recent experiments demonstrating that vibrating elastic sheets can function as seemingly contactless suction cups, we investigate the elastohydrodynamic hovering of a thin elastic sheet vibrating near a rigid substrate. Previous…

Fluid Dynamics · Physics 2025-09-03 Stephane Poulain , Timo Koch , L. Mahadevan , Andreas Carlson

The dynamics of a thin elastic sheet lubricated by a narrow layer of liquid is relevant to various situations and length scales. In the continuity of our previous work on viscous wakes, we study theoretically the effects of an external…

Fluid Dynamics · Physics 2017-10-11 Maxence Arutkin , René Ledesma-Alonso , Thomas Salez , Elie Raphaël

We present an analytical calculation of the hydrodynamic interaction between two spherical particles near an elastic interface such as a cell membrane. The theory predicts the frequency dependent self- and pair-mobilities accounting for the…

Fluid Dynamics · Physics 2016-08-03 Abdallah Daddi-Moussa-Ider , Stephan Gekle

The dynamics of an adhesive two-dimensional vesicle doublet under various flow conditions is investigated numerically using a high-order, adaptive-in-time boundary integral method. In a quiescent flow, two nearby vesicles move slowly…

Fluid Dynamics · Physics 2019-07-23 Bryan Quaife , Shravan Veerapaneni , Y. -N. Young

We present a theoretical study of wetting phenomena and interactions between liquid-vapor interfaces based on the density functional theory. The focus is mostly on the impact of long-range van der Waals interactions both within the fluid…

Chemical Physics · Physics 2011-11-10 Arik Yochelis , Len M. Pismen

Understanding and harnessing the coupling between lubrication pressure and elasticity provides materials design strategies for applications such as adhesives, coatings, microsensors, and biomaterials. Elastic deformation of compliant solids…

Soft Condensed Matter · Physics 2018-10-01 Yumo Wang , Georgia Pilkington , Charles Dhong , Joelle Frechette

We study the interaction between capillary forces and deformation in the context of a deformable capillary adhesive: a clamped, tense membrane is adhered to a rigid substrate by the surface tension of a liquid droplet. We find that the…

Fluid Dynamics · Physics 2019-03-20 Matthew Butler , Finn Box , Thomas Robert , Dominic Vella

Direct Numerical Simulations of two superposed fluids in a channel with a textured surface on the lower wall have been carried out. A parametric study varying the viscosity ratio between the two fluids has been performed to mimic both {\bf…

Fluid Dynamics · Physics 2019-05-22 I. Arenas , E. Garcia , M. K. Fu , P. Orlandi , M. Hultmark , S. Leonardi
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