Viscous Regularization of Breaking Faraday Waves

JETP Letters ◽  
2018 ◽  
Vol 107 (11) ◽  
pp. 684-689 ◽  
Author(s):  
A. V. Bazilevskii ◽  
V. A. Kalinichenko ◽  
A. N. Rozhkov
Keyword(s):  
Faraday Waves ◽  
Viscous Regularization

Faraday Waves Zero Gravity Experiment

2005 ◽  
Author(s):  
Pedro Russo ◽  
Pedro Oliveira ◽  
Catarina Sá-Dantas ◽  
Filipe Correia ◽  
Vasco Almeida
Keyword(s):  
Zero Gravity ◽  
Faraday Waves

scholarly journals Moulding hydrodynamic 2D-crystals upon parametric Faraday waves in shear-functionalized water surfaces

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Mikheil Kharbedia ◽  
Niccolò Caselli ◽  
Diego Herráez-Aguilar ◽  
Horacio López-Menéndez ◽  
Eduardo Enciso ◽  
...  
Keyword(s):  
Soft Matter ◽  
Shear Stiffness ◽  
External Control ◽  
Faraday Waves ◽  
Plane Shear ◽  
Unit Cell Size ◽  
Ordering Transitions ◽  
Water Surfaces ◽  
Ordering Transition ◽  
Surface Rigidity

AbstractFaraday waves, or surface waves oscillating at half of the natural frequency when a liquid is vertically vibrated, are archetypes of ordering transitions on liquid surfaces. Although unbounded Faraday waves patterns sustained upon bulk frictional stresses have been reported in highly viscous fluids, the role of surface rigidity has not been investigated so far. Here, we demonstrate that dynamically frozen Faraday waves—that we call 2D-hydrodynamic crystals—do appear as ordered patterns of nonlinear gravity-capillary modes in water surfaces functionalized with soluble (bio)surfactants endowing in-plane shear stiffness. The phase coherence in conjunction with the increased surface rigidity bears the Faraday waves ordering transition, upon which the hydrodynamic crystals were reversibly molded under parametric control of their degree of order, unit cell size and symmetry. The hydrodynamic crystals here discovered could be exploited in touchless strategies of soft matter and biological scaffolding ameliorated under external control of Faraday waves coherence.

scholarly journals Theoretical Model for Faraday Waves with Multiple-Frequency Forcing

1997 ◽  
Vol 79 (7) ◽  
pp. 1261-1264 ◽  
Author(s):  
Ron Lifshitz ◽  
Dean M. Petrich
Keyword(s):  
Theoretical Model ◽  
Faraday Waves ◽  
Multiple Frequency

Position control of desiccation cracks by memory effect and Faraday waves

2013 ◽  
Vol 36 (1) ◽  
Author(s):  
Hiroshi Nakayama ◽  
Yousuke Matsuo ◽  
Ooshida Takeshi ◽  
Akio Nakahara
Keyword(s):  
Memory Effect ◽  
Position Control ◽  
Faraday Waves ◽  
Desiccation Cracks

Breaking Faraday Waves: Critical Slowing of Droplet Ejection Rates

1999 ◽  
Vol 82 (15) ◽  
pp. 3062-3065 ◽  
Author(s):  
C. L. Goodridge ◽  
H. G. E. Hentschel ◽  
D. P. Lathrop
Keyword(s):  
Faraday Waves ◽  
Droplet Ejection

scholarly journals Nonlinear Pattern Formation of Faraday Waves

1997 ◽  
Vol 78 (21) ◽  
pp. 4043-4046 ◽  
Author(s):  
Doug Binks ◽  
Willem van de Water
Keyword(s):  
Pattern Formation ◽  
Faraday Waves ◽  
Nonlinear Pattern

scholarly journals Numerical simulation of Faraday waves

2009 ◽  
Vol 635 ◽  
pp. 1-26 ◽  
Author(s):  
NICOLAS PÉRINET ◽  
DAMIR JURIC ◽  
LAURETTE S. TUCKERMAN
Keyword(s):  
Stokes Equations ◽  
Three Dimensional ◽  
Oscillation Period ◽  
Finite Amplitude ◽  
Three Dimensions ◽  
Navier Stokes ◽  
Faraday Waves ◽  
Temporal Behaviour ◽  
Two Fluids ◽  
Front Tracking Method

We simulate numerically the full dynamics of Faraday waves in three dimensions for two incompressible and immiscible viscous fluids. The Navier–Stokes equations are solved using a finite-difference projection method coupled with a front-tracking method for the interface between the two fluids. The critical accelerations and wavenumbers, as well as the temporal behaviour at onset are compared with the results of the linear Floquet analysis of Kumar & Tuckerman (J. Fluid Mech., vol. 279, 1994, p. 49). The finite-amplitude results are compared with the experiments of Kityk et al (Phys. Rev. E, vol. 72, 2005, p. 036209). In particular, we reproduce the detailed spatio-temporal spectrum of both square and hexagonal patterns within experimental uncertainty. We present the first calculations of a three-dimensional velocity field arising from the Faraday instability for a hexagonal pattern as it varies over its oscillation period.

Instability of a liquid film flow over a vibrating inclined plane

1995 ◽  
Vol 294 ◽  
pp. 391-407 ◽  
Author(s):  
David R. Woods ◽  
S. P. Lin
Keyword(s):  
Gravity Waves ◽  
Film Flow ◽  
Shear Waves ◽  
Faraday Waves ◽  
Critical Amplitude ◽  
Inclined Plane ◽  
Flow Parameters ◽  
Chebychev Polynomials ◽  
Liquid Film Flow ◽  
Faraday Wave

The problem of the onset of instability in a liquid layer flowing down a vibrating inclined plane is formulated. For the solution of the problem, the Fourier components of the disturbance are expanded in Chebychev polynomials with time-dependent coefficients. The reduced system of ordinary differential equations is analysed with the aid of Floquet theory. The interaction of the long gravity waves, the relatively short shear waves and the parametrically resonated Faraday waves occurring in the film flow is studied. Numerical results show that the long gravity waves can be significantly suppressed, but cannot be completely eliminated by use of the externally imposed oscillation on the incline. At small angles of inclination, the short shear waves may be exploited to enhance the Faraday waves. For a given set of relevant flow parameters, there exists a critical amplitude of the plane vibration below which the Faraday wave cannot be generated. At a given amplitude above this critical one, there also exists a cutoff wavenumber above which the Faraday wave cannot be excited. In general the critical amplitude increases, but the cutoff wavenumber decreases, with increasing viscosity. The cutoff wavenumber also decreases with increasing surface tension. The application of the theory to a novel method of film atomization is discussed.

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