scholarly journals Secondary Instabilities of Surface Waves on Viscous Fluids in the Faraday Instability

1995 ◽  
Vol 32 (4) ◽  
pp. 313-318 ◽  
Author(s):  
L Daudet ◽  
V Ego ◽  
S Manneville ◽  
J Bechhoefer
Keyword(s):  
Surface Waves ◽  
Viscous Fluids ◽  
Faraday Instability ◽  
Secondary Instabilities

scholarly journals Surface Waves at the Interface Between two Viscous Fluids

1999 ◽  
Vol 59 (4) ◽  
pp. 313-318 ◽  
Author(s):  
A Hernández-Rodríguez ◽  
J Marín-Antuña ◽  
H Rodríguez-Coppola ◽  
C Dopazo
Keyword(s):  
Surface Waves ◽  
Viscous Fluids

An experimental study of the onset of parametrically pumped surface waves in viscous fluids

1995 ◽  
Vol 288 ◽  
pp. 325-350 ◽  
Author(s):  
John Bechhoefer ◽  
Valerie Ego ◽  
Sebastien Manneville ◽  
Brad Johnson
Keyword(s):  
Surface Waves ◽  
Size Effects ◽  
Experimental Studies ◽  
Finite Size ◽  
Finite Depth ◽  
Finite Size Effects ◽  
Polar Fluid ◽  
Faraday Instability ◽  
Theoretical Predictions ◽  
Finite Size Corrections

We measure the threshold accelerations necessary to excite surface waves in a vertically vibrated fluid container (the Faraday instability). Under the proper conditions, the thresholds and onset wavelengths agree with recent theoretical predictions for a laterally infinite, finite-depth container filled with a viscous fluid. Experimentally, we show that by using a viscous, non-polar fluid, the finite-size effects of sidewalls and the effects of surface contamination can be made negligible. We also show that finite-size corrections are of order h/L, where h is the fluid depth and L the container size. Based on these measurements, one can more easily interpret certain unexpected observations from previous experimental studies of the Faraday instability.

scholarly journals Faraday waves in soft elastic solids

2020 ◽  
Vol 476 (2241) ◽  
pp. 20200129
Author(s):  
Giulia Bevilacqua ◽  
Xingchen Shao ◽  
John R. Saylor ◽  
Joshua B. Bostwick ◽  
Pasquale Ciarletta
Keyword(s):  
Soft Matter ◽  
Theoretical Explanation ◽  
Subharmonic Resonance ◽  
Viscous Fluids ◽  
Faraday Waves ◽  
Elastic Solids ◽  
Soft Solids ◽  
Elastic Bodies ◽  
Faraday Instability ◽  
Elastic Slab

Recent experiments have observed the emergence of standing waves at the free surface of elastic bodies attached to a rigid oscillating substrate and subjected to critical values of forcing frequency and amplitude. This phenomenon, known as Faraday instability, is now well understood for viscous fluids but surprisingly eluded any theoretical explanation for soft solids. Here, we characterize Faraday waves in soft incompressible slabs using the Floquet theory to study the onset of harmonic and subharmonic resonance eigenmodes. We consider a ground state corresponding to a finite homogeneous deformation of the elastic slab. We transform the incremental boundary value problem into an algebraic eigenvalue problem characterized by the three dimensionless parameters, that characterize the interplay of gravity, capillary and elastic waves. Remarkably, we found that Faraday instability in soft solids is characterized by a harmonic resonance in the physical range of the material parameters. This seminal result is in contrast to the subharmonic resonance that is known to characterize viscous fluids, and opens the path for using Faraday waves for a precise and robust experimental method that is able to distinguish solid-like from fluid-like responses of soft matter at different scales.

Secondary Instabilities of Surface Waves

1989 ◽  
Vol T29 ◽  
pp. 250-254 ◽  
Author(s):  
S Fauve ◽  
S Douady ◽  
C Laroche ◽  
O Thual
Keyword(s):  
Surface Waves ◽  
Secondary Instabilities

scholarly journals Mean Flow Effects in the Faraday Instability

2003 ◽  
Vol 17 (22n24) ◽  
pp. 4278-4283
Author(s):  
Elena Martín ◽  
Carlos Martel ◽  
José M. Vega
Keyword(s):  
Surface Waves ◽  
Navier Stokes ◽  
Mean Flow ◽  
Weakly Nonlinear ◽  
Viscosity Limit ◽  
Faraday Instability ◽  
Wave Patterns ◽  
Long Time ◽  
Flow Effects ◽  
The Stability

We study the weakly nonlinear evolution of Faraday waves in a 2D container that is vertically vibrated. In the small viscosity limit, the evolution of the surface waves is coupled to a non-oscillatory mean flow that develops in the bulk of the container. The corresponding long time (Navier-Stokes+amplitude) equations are derived and analyzed numerically. The results indicate that the (usually ignored) mean flow plays an essential role in the stability of the surface waves and in the bifurcated wave patterns.

scholarly journals Faraday instability and subthreshold Faraday waves: surface waves emitted by walkers

2018 ◽  
Vol 848 ◽  
pp. 906-945 ◽  
Author(s):  
Loïc Tadrist ◽  
Jeong-Bo Shim ◽  
Tristan Gilet ◽  
Peter Schlagheck
Keyword(s):  
Surface Waves ◽  
Characteristic Time ◽  
Wave Amplitude ◽  
Liquid Surface ◽  
Length Scale ◽  
Characteristic Time Scale ◽  
Viscous Damping ◽  
Quantum Particles ◽  
Faraday Instability ◽  
The Waves

A walker is a fluid entity comprising a bouncing droplet coupled to the waves that it generates at the surface of a vibrated bath. Thanks to this coupling, walkers exhibit a series of wave–particle features formerly thought to be exclusive to the quantum realm. In this paper, we derive a model of the Faraday surface waves generated by an impact upon a vertically vibrated liquid surface. We then particularise this theoretical framework to the case of forcing slightly below the Faraday instability threshold. Among others, this theory yields a rationale for the cosine dependence of the wave amplitude to the phase shift between impact and forcing, as well as the characteristic time scale and length scale of viscous damping. The theory is validated with experiments of bead impact on a vibrated bath. We finally discuss implications of these results for the analogy between walkers and quantum particles.

Faraday instability: Linear analysis for viscous fluids

1995 ◽  
Vol 51 (2) ◽  
pp. 1162-1168 ◽  
Author(s):  
J. Beyer ◽  
R. Friedrich
Keyword(s):  
Linear Analysis ◽  
Viscous Fluids ◽  
Faraday Instability
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