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Related papers: Elastohydrodynamic wake and wave resistance

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The effect of an external pressure disturbance, being displaced with a constant speed along the free surface of a viscous thin film, is studied theoretically in the lubrication approximation in one- and two-dimensional geometries. In the…

Fluid Dynamics · Physics 2016-03-24 René Ledesma-Alonso , Michael Benzaquen , Thomas Salez , Elie Raphaël

We investigate the hydroelastic wake created by a perturbation moving at constant speed along a thin elastic sheet floating at the surface of deep water. Using a high-resolution cross-correlation imaging technique, we characterize the waves…

We investigate the wrinkling dynamics of a thin elastic sheet that is indented or compressed while floating on a viscous liquid. We show that the deformation speed controls the dynamics, leading to a wrinkle wavelength significantly smaller…

Soft Condensed Matter · Physics 2026-01-21 Ayrton Draux , Marco Rizzo , Dominic Vella , Vincent Démery , Fabian Brau , Pascal Damman

We study the dynamic coarsening of wrinkles in an elastic sheet that is compressed while lying on a thin layer of viscous liquid. When the ends of the sheet are instantaneously brought together by a small distance, viscous resistance…

Fluid Dynamics · Physics 2017-03-24 Ousmane Kodio , Ian M. Griffiths , Dominic Vella

We explore the dynamical response of the free surface of an ultra-soft solid driven by a localized moving pressure disturbance. Experiments reveal a steady V-shaped wake analogous to a surface Mach wedge. A simple geometric argument…

Soft Condensed Matter · Physics 2025-11-27 Aditi Chakrabarti , Divya Jaganathan , Robert Haussman , L. Mahadevan

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

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

Wrinkling instabilities of thin elastic sheets can be used to generate periodic structures over a wide range of length scales. Viscosity of the thin elastic sheet or its surrounding medium has been shown to be responsible for dynamic…

Soft Condensed Matter · Physics 2024-01-25 Veit Krause , Axel Voigt

A thin circular elastic sheet floating on a drop-like liquid substrate is deformed due to incompatibility between the curved substrate and the planar sheet. We adopt a variational viewpoint by minimizing the non-convex membrane energy…

Analysis of PDEs · Mathematics 2026-02-19 Peter Bella , Carlos Román

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

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

The processing of thin-structured materials in a fluidic environment, from nearly inextensible but flexible graphene sheets to highly extensible polymer films, arises in many applications. So far, little is known about the dynamics of such…

Soft Condensed Matter · Physics 2022-02-15 Yijiang Yu , Michael D. Graham

We show using theory and experiments that a small particle moving along an elastic membrane through a viscous fluid is repelled from the membrane due to hydro-elastic forces. The viscous stress field produces an elastic disturbance leading…

Soft Condensed Matter · Physics 2018-02-23 Bhargav Rallabandi , Naomi Oppenheimer , Matan Yah Ben Zion , Howard A. Stone

We study suspensions of rigid particles in a plane Couette flow with deformable elastic walls. We find that, in the limit of vanishing inertia, the elastic walls induce shear thinning of the suspension flow such that the effective viscosity…

Soft Condensed Matter · Physics 2019-06-25 Marco Edoardo Rosti , Mehdi Niazi Ardekani , Luca Brandt

The wrinkling of thin elastic objects provides a means of generating regular patterning at small scales in applications ranging from photovoltaics to microfluidic devices. Static wrinkle patterns are known to be governed by an energetic…

Soft Condensed Matter · Physics 2020-01-28 Finn Box , Doireann O'Kiely , Ousmane Kodio , Maxime Inizan , Alfonso A. Castrejon-Pita , Dominic Vella

We study the behavior of thin elastic sheets that are bent and strained under the influence of weak, smooth confinement. We show that the emerging shapes exhibit the coexistence of two types of domains that differ in their characteristic…

Soft Condensed Matter · Physics 2011-02-15 Robert D. Schroll , Eleni Katifori , Benny Davidovitch

We experimentally study linear and nonlinear waves on the surface of a fluid covered by an elastic sheet where both tension and flexural waves take place. An optical method is used to obtain the full space-time wave field, and the…

Fluid Dynamics · Physics 2014-02-10 Luc Deike , Jean-Claude Bacri , Eric Falcon

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

We characterize the spatiotemporal deformation of an elastic film during the radial drainage of fluid from a narrowing gap. Elastic deformation of the film takes the form of a dimple and prevents full contact to be reached. With thinner…

Soft Condensed Matter · Physics 2016-01-20 Yumo Wang , Charles Dhong , Joelle Frechette

We study the transient dynamics of a viscous liquid contained in a narrow gap between a rigid surface and a parallel elastic plate. The elastic plate is deformed due to an externally applied time-varying pressure-field. We model the…

Fluid Dynamics · Physics 2017-05-16 Arie Tulchinsky , Amir D. Gat
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