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Related papers: Faraday waves covered by a viscoelastic sheet

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This study analyzes steady periodic hydroelastic waves propagating on the water surface of finite depth beneath nonlinear elastic membranes. Unlike previous work \cite{BaldiT,BaldiT1,Toland,Toland1}, our formulation accommodates rotational…

Analysis of PDEs · Mathematics 2025-08-07 Yong Zhang

We study the behavior of the pulse waves of water into a flexible tube for application to blood flow simulations. In pulse waves both fluid friction and wall viscosity are damping factors, and difficult to evaluate separately. In this…

Through experimentation, we have discovered that with the changing of driving conditions, the Faraday waves undergo two abrupt transitions in spatiotemporal order: onset and instability. The driving amplitudes and frequencies corresponding…

Fluid Dynamics · Physics 2023-05-16 Peizhao Li , Tiancheng Yu , Xuechang Tu , Han Yan , Wei Wang , Luqun Zhou

We study the diffusion of ocean waves by ice bodies much smaller than a wavelength, such as pancakes and small ice floes. We argue that inhomogeneities in the ice cover at scales comparable to that of the wavelength significantly increase…

Atmospheric and Oceanic Physics · Physics 2023-04-05 Piero Olla , Giacomo De Carolis , Francesca De Santi

Trajectory of surface gravity waves in potential flow regime is affected by the gravitational acceleration, water density, and seabed depth. While the gravitational acceleration and water density are approximately constant, the effect of…

Fluid Dynamics · Physics 2022-04-11 Takahito Iida , Ahmad Zareei , Mohammad-Reza Alam

Weak Wave Turbulence is a powerful theory to predict statistical observables of diverse relevant physical phenomena, such as ocean waves, magnetohydrodynamics and nonlinear optics. The theory is based upon an asymptotic closure permitted in…

Statistical Mechanics · Physics 2016-07-13 Sergio Chibbaro , Christophe Josserand

The object of this study is to investigate the effect of viscosity on propagation of free-surface waves in an incompressible viscous fluid layer of arbitrary depth. While we provide a more detailed study of properties of linear surface…

Fluid Dynamics · Physics 2019-09-06 Arash Ghahraman , Gyula Bene

Processes of propagation and interaction of nonlinear gravity-capillary waves on the free surface of a deep non-conducting liquid with high dielectric constant under the action of a tangential electric field are numerically simulated. The…

Fluid Dynamics · Physics 2018-10-10 Evgeny A. Kochurin , Nikolay M. Zubarev

This paper is concerned with an asymptotic analysis of the dispersion relation for wave propagation in an elastic layer of uniform thickness. The layer is subject to an underlying simple shear deformation accompanied by an arbitrary uniform…

Mathematical Physics · Physics 2007-05-23 Wasiq Hussain

We investigate the propagation of Rayleigh waves in a half-space coupled to a nonlinear metasurface. The metasurface consists of an array of nonlinear oscillators attached to the free surface of a homogeneous substrate. We describe,…

Applied Physics · Physics 2025-10-20 Antonio Palermo , Behrooz Yousefzadeh , Chiara Daraio , Alessandro Marzani

{Three-wave resonant interactions constitute an essential nonlinear mechanism coupling capillary surface waves. In a previous work, Haudin et al. [Phys. Rev E 93, 043110 (2016)], we have characterized experimentally the generation by this…

Fluid Dynamics · Physics 2019-07-11 Annette Cazaubiel , Florence Haudin , Eric Falcon , Michael Berhanu

The statistical properties of a large number of weakly nonlinear waves can be described in the framework of the Weak Turbulence Theory. The theory is based on the hypothesis of an asymptotically large system. In experiments, the systems…

Fluid Dynamics · Physics 2018-09-07 Roumaissa Hassaini , Nicolas Mordant

We study the capillary wave dynamics of a single viscoelastic supported film and of a double layer of immiscible viscoelastic supported films. Using both simple scaling arguments and a continuum hydrodynamic theory, we investigate the…

Soft Condensed Matter · Physics 2009-11-11 Mark L. Henle , Alex J. Levine

We report numerical investigations of wave turbulence in a vibrating plate. The possibility to implement advanced measurement techniques and long time numerical simulations makes this system extremely valuable for wave turbulence studies.…

Soft Condensed Matter · Physics 2017-10-25 Nicolas Mordant , Benjamin Miquel

The evolution of surface gravity waves is driven by nonlinear interactions that trigger an energy cascade similarly to the one observed in hydrodynamic turbulence. This process, known as wave turbulence, has been found to display anomalous…

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 report on the numerical and theoretical study of the subcritical bifurcation of parametrically amplified waves appearing at the interface between two immiscible incompressible fluids when the layer of the lower fluid is very shallow. As…

Fluid Dynamics · Physics 2016-07-20 Nicolas Périnet , Claudio Falcón , Jalel Chergui , Damir Juric , Seungwon Shin

The effect of damping in the wave turbulence regime for thin vibrating plates is studied. An experimental method, allowing measurements of dissipation in the system at all scales, is first introduced. Practical experimental devices for…

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

Existing theoretical results for attenuation of surface waves propagating on water of random fluctuating depth are shown to over predict the rate of decay due to the way in which ensemble averaging is performed. A revised approach is…

Fluid Dynamics · Physics 2026-03-05 Lloyd Dafydd , Richard Porter
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