Experimental investigation of the Faraday instability on a patterned surface

Feng, Jie; Jacobi, Ian; Stone, Howard A.

doi:10.1007/s00348-016-2166-0

Cited by 9 publications

(4 citation statements)

References 19 publications

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“…Since the propulsive mechanism comes from the wave, one concludes that the presence of the submarine pattern has altered their generation. An explanation can be found in [19][20][21]. In those studies, the authors focus on the appearance of Faraday waves with a submarine periodic pattern.…”

Section: Resultsmentioning

confidence: 99%

Bragg's reflection for walking droplets in 1D crystals

Vandewalle¹,

Filoux²,

Hubert³

2019

Preprint

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Section: Resultsmentioning

confidence: 99%

Bragg's reflection for walking droplets in 1D crystals

Vandewalle¹,

Filoux²,

Hubert³

2019

Preprint

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“…On the other hand, in order to explore Faraday waves in the practical engineering systems, the patterned substrate was used instead of the impermeable substrate. For example, the effect of bottom corrugation on the Faraday instability was initiated by Osipov & García [14], Wang et al [15] and Feng et al [16]. As discussed by Feng et al [16], the onset of Faraday instability can be delayed by using the topography patterned substrate at the bottom.…”

Section: Introductionmentioning

confidence: 99%

“…For example, the effect of bottom corrugation on the Faraday instability was initiated by Osipov & García [14], Wang et al [15] and Feng et al [16]. As discussed by Feng et al [16], the onset of Faraday instability can be delayed by using the topography patterned substrate at the bottom. Recently, one attempt has been made by Rahimzadeh & Eslamian [17] for a vertical oscillating flow over a slippery substrate.…”

Section: Introductionmentioning

confidence: 99%

Effect of porous layer on the Faraday instability in viscous liquid

Samanta

2020

Proc. R. Soc. A.

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A linear stability analysis of a viscous liquid on a vertically oscillating porous plane is performed for infinitesimal disturbances of arbitrary wavenumbers. A time-dependent boundary value problem is derived and solved based on the Floquet theory along with the complex Fourier series expansion. Numerical results show that the Faraday instability is dominated by the subharmonic solution at high forcing frequency, but it responds harmonically at low forcing frequency. The unstable regions corresponding to both subharmonic and harmonic solutions enhance with the increasing value of permeability and yields a destabilizing effect on the Faraday instability. Further, the presence of porous layer makes faster the transition process from subharmonic instability to harmonic instability in the wavenumber regime. In addition, the first harmonic solution shrinks gradually and becomes an unstable island, and ultimately disappears from the neutral curve if the porous layer thickness is increased. In contrast, the first and second subharmonic solutions coalesce, and the onset of Faraday instability is dominated by the subharmonic solution. In a special case, the study of Faraday instability of a viscous liquid on a porous substrate can be replaced by a study of Faraday instability of a viscous liquid on a slippery substrate when the permeability of the porous substrate is very low. Further, the Faraday instability can be destabilized by introducing a slip effect at the bottom plane.

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“…We consider how Faraday instabilities are impacted by symmetry-broken geometries, defined by heterogeneous (i.e., non-flat) substrates. Past studies have considered the possibility of localization resulting from small corrugations in the container [24][25][26] or through localized driving forces 27 , but we stress that the potential for HSHS has not been considered in this literature. Here, we show how heterogeneity from more general substrate geometries can impact the onset of Faraday wave instabilities, which allows us to a b experimentally demonstrate the existence of HSHS for both sinusoidal and random substrates with suitably large heterogeneity.…”

mentioning

confidence: 99%

Heterogeneity-stabilized homogeneous states in driven media

et al. 2021

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Understanding the relationship between symmetry breaking, system properties, and instabilities has been a problem of longstanding scientific interest. Symmetry-breaking instabilities underlie the formation of important patterns in driven systems, but there are many instances in which such instabilities are undesirable. Using parametric resonance as a model process, here we show that a range of states that would be destabilized by symmetry-breaking instabilities can be preserved and stabilized by the introduction of suitable system asymmetry. Because symmetric states are spatially homogeneous and asymmetric systems are spatially heterogeneous, we refer to this effect as heterogeneity-stabilized homogeneity. We illustrate this effect theoretically using driven pendulum array models and demonstrate it experimentally using Faraday wave instabilities. Our results have potential implications for the mitigation of instabilities in engineered systems and the emergence of homogeneous states in natural systems with inherent heterogeneities.

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Experimental investigation of the Faraday instability on a patterned surface

Cited by 9 publications

References 19 publications

Bragg's reflection for walking droplets in 1D crystals

Bragg's reflection for walking droplets in 1D crystals

Effect of porous layer on the Faraday instability in viscous liquid

Heterogeneity-stabilized homogeneous states in driven media

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