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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

We numerically investigate the hydrodynamic characteristics and analyze the instability mechanism of a two-dimensional inverted flag clamped by a cylinder. Two transition routes and a total of six kinds of solutions exist under this…

Fluid Dynamics · Physics 2024-08-21 Haokui Jiang , Yujia Zhao , Burigede Liu , Shunxiang Cao

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 flapping flag instability occurs when a flexible cantilevered plate is immersed in a uniform airflow. To this day, the nonlinear aspects of this aeroelastic instability are largely unknown. In particular, experiments in the literature…

Fluid Dynamics · Physics 2012-04-30 Christophe Eloy , Nicolas Kofman , Lionel Schouveiler

We address the flutter instability of a flexible plate immersed in an axial flow. This instability is similar to flag flutter and results from the competition between destabilising pressure forces and stabilising bending stiffness. In…

Fluid Dynamics · Physics 2015-03-13 Christophe Eloy , Romain Lagrange , Claire Souilliez , Lionel Schouveiler

Flapping animal flight is often modeled as a combined pitching and heaving motion in order to investigate the unsteady flow structures and resulting forces that could augment the animal's lift and propulsive capabilities. This work isolates…

Fluid Dynamics · Physics 2017-10-12 Jennifer A. Franck , Kenneth Breuer

The motion of several plates in an inviscid and incompressible fluid is studied numerically using a vortex sheet model. Two to four plates are initially placed in-line, separated by a specified distance, and actuated in the vertical…

Fluid Dynamics · Physics 2026-05-19 Monika Nitsche , Anand U. Oza , Michael Siegel

An inverted flag has its trailing edge clamped and exhibits dynamics distinct from that of a conventional flag, whose leading edge is restrained. We perform nonlinear simulations and a global stability analysis of the inverted-flag system…

Fluid Dynamics · Physics 2019-02-20 Andres Goza , Tim Colonius , John Elie Sader

We perform high-fidelity, two-dimensional (2D), fluid-structure interaction (FSI) simulations at a Reynolds number of $Re=200$ of uniform flow past an inverted flag (i.e., clamped at its trailing edge). The inverted flag system can exhibit…

Fluid Dynamics · Physics 2021-05-04 Andres Goza

Using nonlinear vortex-sheet simulations, we determine the region in parameter space in which a straight flag in a channel-bounded inviscid flow is unstable to flapping motions. We find that for heavier flags, greater confinement increases…

Fluid Dynamics · Physics 2015-06-22 Silas Alben

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…

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

The flapping of flags is a classical problem involving fast and large amplitude deformations of a thin flexible plate and unsteady flow phenomena. We perform systematic time and space-resolved measurements of the deformation and drag acting…

Fluid Dynamics · Physics 2026-02-09 Gaétan Raynaud , Karen Mulleners

A flexible sheet in uniform parallel flow is studied in order to quantify its fluid dynamic drag and fluid-elastic stability characteristics. An experimental campaign is undertaken that involves a cantilevered sheet in air flow…

Fluid Dynamics · Physics 2009-08-18 Michael T. Morris-Thomas , Sverre Steen

The unsteady lift of a high-angle-of-attack, flat-plate wing encountering finite-length obstacles is studied using towing-tank force measurements. The wing translates from rest and interacts with a rectangular channel, ceiling, or ground…

Fluid Dynamics · Physics 2023-10-16 Karan A. Shah , Matthew J. Ringuette

We consider a beam model representing the transverse deflections of a one dimensional elastic structure immersed in an axial fluid flow. The model includes a nonlinear elastic restoring force, with damping and non-conservative terms…

Analysis of PDEs · Mathematics 2019-04-22 Jason Howell , Katelynn Huneycutt , Justin T. Webster , Spencer Wilder

We use small-amplitude inviscid theory to study the swimming performance of a flexible flapping plate with time-varying flexibility. The stiffness of the plate oscillates at twice the frequency of the kinematics in order to maintain a…

Fluid Dynamics · Physics 2023-04-12 David Yudin , Daniel Floryan , Tyler Van Buren

Classical descriptions of flapping propulsion near a free surface emphasize the energetic penalties of wave generation, treating the interface primarily as an energy sink. Here, we show that the same deformable boundary can also act as a…

Fluid Dynamics · Physics 2025-12-16 Qimin Feng , Tianjun Han , Qiang Zhong

In this work, we investigate the dynamics of vortex-induced vibration of an elastically mounted cylinder with very low values of mass and damping. We use two methods to investigate this canonical problem: first we calculate the…

Crumpled paper or drapery patterns are everyday examples of how elastic sheets can respond to external forcing. In this Letter, we study experimentally a novel sort of forcing. We consider a circular flexible plate clamped at its center and…

Soft Condensed Matter · Physics 2013-08-26 Lionel Schouveiler , Christophe Eloy
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