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This paper explores the fluid-elastic response of a cantilevered flexible sheet in the presence of uniform airflow. The leading edge of the sheet is clamped, while at the trailing edge, in-plane tension is applied to provide additional…

Fluid Dynamics · Physics 2011-01-14 Michael T. Morris-Thomas , Sverre Steen

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

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

An elastic foil interacting with a uniform flow with its trailing edge clamped, also known as the inverted foil, exhibits a wide range of complex self-induced flapping regimes such as large amplitude flapping (LAF), deformed and flipped…

Fluid Dynamics · Physics 2019-07-03 P. S. Gurugubelli , R. K. Jaiman

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

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

In an electrically conducting fluid, vortices stretch out a weak, large-scale magnetic field to form strong current sheets on their edges. Associated with these current sheets are magnetic stresses, which are subsequently released through…

Fluid Dynamics · Physics 2016-09-13 Julian Mak , Stephen D. Griffiths , D. W. Hughes

The stability of a cantilevered elastic sheet in a uniform flow has been studied extensively due to its importance in engineering and its prevalence in natural structures. Varying the flow speed can give rise to a range of dynamics…

Fluid Dynamics · Physics 2019-07-24 Boyu Fan , Cecilia Huertas-Cerdeira , Julia Cossè , John E. Sader , Morteza Gharib

This paper concerns the stabilizing effect of viscosity on the vortex sheets. It is found that although a vortex sheet is not a time-asymptotic attractor for the compressible Navier-Stokes equations, a viscous wave that approximates the…

Analysis of PDEs · Mathematics 2023-09-12 Feimin Huang , Zhouping Xin , Lingda Xu , Qian Yuan

We present an experimental study of a turbulent von K\'arm\'an flow produced in a cylindrical container using two propellers. The mean flow is stationary up to $Re = 10^4$, where a bifurcation takes place. The new regime breaks some…

Fluid Dynamics · Physics 2009-01-30 Alberto de la Torre , Javier Burguete

The two dimensional incompressible viscous flow past a flapping foil immersed in a uniform stream is studied numerically. Numerical simulations were performed using a Lattice-Boltzmann model for moderate Reynolds numbers. The computation of…

Fluid Dynamics · Physics 2016-08-15 Francisco Mandujano , Carlos Málaga

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 examine the buckling shape and critical compression of confined inhomogeneous composite sheets lying on a liquid foundation. The buckling modes are controlled by the bending stiffness of the sheet, the density of the substrate, and the…

Soft Condensed Matter · Physics 2023-12-04 Marc Suñé , Cristóbal Arratia , A. F. Bonfils , Dominic Vella , J. S. Wettlaufer

A flexible foil undergoing pitching oscillations is studied experimentally in a wind tunnel with different imposed free stream velocities. The chord-based Reynolds number is in the range 1600--4000, such that the dynamics of the system is…

Fluid Dynamics · Physics 2022-06-08 Juan D'Adamo , Manuel Collaud , Roberto Sosa , Ramiro Godoy-Diana

The standing surface waves in a rectangular vertically oscillating vessel filled with water (Faraday waves) in the presence of a floating elastic sheet are studied experimentally and theoretically. The threshold amplitude of the instability…

Fluid Dynamics · Physics 2023-07-11 Vahideh Sardari , Leila Bahmani , Maniya Maleki

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

A three-dimensional round liquid jet within a low-speed coaxial gas flow is numerically simulated and explained via vortex dynamics ($\lambda_2$ method). The instabilities on the liquid-gas interface reflect well the vortex interactions…

Fluid Dynamics · Physics 2018-08-28 Arash Zandian , William A. Sirignano , Fazle Hussain

Flexible structures in an incoming perpendicular flow typically undergo elastic reconfiguration that reduces drag; however, at higher velocities, they are prone to dynamical instabilities that entail complex wake dynamics and fluctuating…

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 flow-induced vibration and cavitation dynamics of three-dimensional flow past a cantilever flexible hydrofoil are investigated using a large eddy simulation (LES) model, a homogeneous mixture cavitation model and the structural modes…

Fluid Dynamics · Physics 2024-06-06 Zhi Cheng , Rajeev Jaiman
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