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The instability of the interface between a dielectric and a conducting liquid, excited by a spatially homogeneous interface-normal time-periodic electric field, is studied based on experiments and theory. Special attention is paid to the…

Fluid Dynamics · Physics 2022-04-06 S. Dehe , M. Hartmann , A. Bandopadhyay , S. Hardt

Vertical oscillation of a fluid interface above a critical amplitude excites the Faraday instability, typically manifesting itself as a standing wave pattern. Fundamentally, the phenomenon is an example of parametric resonance. At high…

Fluid Dynamics · Physics 2013-10-10 William Batson , Farzam Zoueshtiagh , Ranga Narayanan

Strong effects of the Faraday instability on suspensions of rodlike colloidal particles are reported through measurements of the critical acceleration and of the surface wave amplitude. We show that the transition to parametrically excited…

Soft Condensed Matter · Physics 2013-01-30 Pierre Ballesta , M. Paul Lettinga , Sebastien Manneville

Faraday waves are generated at the air/liquid interface inside an array of square cells. As the free surface inside each cell is destabilizing due to the oscillations, the shape of the free surface is drastically changing. Depending on the…

Fluid Dynamics · Physics 2015-05-14 G. Delon , D. Terwagne , N. Vandewalle , S. Dorbolo , H. Caps

A previously unreported regime of type III intermittency is observed in a vertically vibrated milliliter-sized liquid drop submerged in a more viscous and less dense immiscible fluid layer supported by a hydrophobic solid plate. As the…

Fluid Dynamics · Physics 2021-02-03 Andrey Pototsky , Ivan S. Maksymov , Sergey A. Suslov , Justin Leontini

We consider a spherical variant of the Faraday problem, in which a spherical drop is subjected to a time-periodic body force, as well as surface tension. We use a full three-dimensional parallel front-tracking code to calculate the…

Fluid Dynamics · Physics 2019-05-14 Ali-higo Ebo-Adou , Laurette S. Tuckerman , Seungwon Shin , Jalel Chergui , Damir Juric

Liquid drops and vibrations are ubiquitous in both everyday life and technology, and their combination can often result in fascinating physical phenomena opening up intriguing opportunities for practical applications in biology, medicine,…

Fluid Dynamics · Physics 2019-11-27 Ivan S. Maksymov , Andrey Pototsky

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

We investigate the nonlinear behaviour of the dynamically unstable rotating star for the bar mode by three-dimensional hydrodynamics in Newtonian gravity. We find that an oscillation along the rotation axis is induced throughout the growth…

Astrophysics · Physics 2008-03-13 Motoyuki Saijo , Yasufumi Kojima

A linear stability analysis of the free surface of a horizontally unbounded ferrofluid layer of arbitrary depth subjected to vertical vibrations and a horizontal magnetic field is performed. A nonmonotonic dependence of the stability…

Pattern Formation and Solitons · Physics 2009-11-07 V. V. Mekhonoshin , Adrian Lange

A phenomenological model of parametric surface waves (Faraday waves) is introduced in the limit of small viscous dissipation that accounts for the coupling between surface motion and slowly varying streaming and large scale flows (mean…

Pattern Formation and Solitons · Physics 2009-11-10 J. M. Vega , S. Ruediger , J. Vinals

Faraday waves are a classic example of a system in which an extended pattern emerges under spatially uniform forcing. Motivated by systems in which uniform excitation is not plausible, we study both experimentally and theoretically the…

Metamaterials enable the emergence of novel physical properties due to the existence of an underlying sub-wavelength structure. Here, we use the Faraday instability to shape the fluid-air interface with a regular pattern. This pattern…

Classical Physics · Physics 2016-05-25 L Domino , M Tarpin , Sylvain Patinet , A Eddi

Waves patterns in the Faraday instability have been studied for decades. Besides the rich dynamics that can be observed on the waves at the interface, Faraday waves hide beneath them an elusive range of flow patterns --or streaming…

Fluid Dynamics · Physics 2017-05-24 Nicolas Périnet , Pablo Gutiérrez , Héctor Urra , Nicolás Mujica , Leonardo Gordillo

We present an analytical stability theory for the onset of the Faraday instability, applying over a wide frequency range between shallow water gravity and deep water capillary waves. For sufficiently thin fluid layers the surface is…

patt-sol · Physics 2009-10-30 H. W. Mueller , H. Wittmer , C. Wagner , J. Albers , K. Knorr

We investigate Faraday waves on a viscoelastic liquid. Onset measurements and a nonlinear phase diagram for the selected patterns are presented. By virtue of the elasticity of the material a surface resonance synchronous to the external…

patt-sol · Physics 2009-10-31 C. Wagner , H. W. Mueller , K. Knorr

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

By studying the dynamic stability of Bose-Einstein condensed binary mixtures trapped on the surface of an ideal two-dimensional spherical bubble, we show how the Rabi coupling between the species can modulate the interactions leading to…

Quantum Gases · Physics 2025-11-04 Leonardo Brito , Lauro Tomio , Arnaldo Gammal

Motion in a one-dimensional (1D) microfluidic array is simulated. Water droplets, dragged by flowing oil, are arranged in a single row, and due to their hydrodynamic interactions spacing between these droplets oscillates with a wave-like…

Fluid Dynamics · Physics 2015-06-05 Bin Liu , J. Goree , Yan Feng

We describe the effect of vibration on a confined volume of fluid which is density stratified due to its compressibility. We show that internal gravity-acoustic waves can be parametrically destabilized by the vibration. The resulting…

Fluid Dynamics · Physics 2009-10-27 Kausik S. Das , Stephen W. Morris , A. Bhattacharyay
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