Onset of Faraday Waves in a Liquid Layer Covered with a Surfactant with Elastic and Viscous Properties

Giavedoni, Maria Delia; Ubal, Sebastian

doi:10.1021/ie0615335

Cited by 8 publications

(9 citation statements)

References 22 publications

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“…The dynamics of SIDMs are affected by surface tension, in-plane mechanical properties (surface shear, surface dilatational, and surface Young’s modulus) 1,2 , and the resistance against out-of-plane deformations (bending and torsional viscosities and rigidities) 3,4 . These parameters affect the rise velocity of droplets in a fluid 5 , cause non-monotonic deformations of microcapsules in shear flows 6 , influence wave phenomena in stratified flows 7,8 , play a role in the suppression of the coffee ring effect 9 , are a factor in the dynamics of cells in arterial flows 10,11 , and many other multiphase systems 12 . A proper understanding of how these parameters affect macroscopic dynamics of SIDMs is often still lacking, and this has inspired a vast number of studies using a wide range of stabilizers, at both oil-water and air-water interfaces.…”

Section: Introductionmentioning

confidence: 99%

Dynamic heterogeneity in complex interfaces of soft interface-dominated materials

Sagis

Liu

et al. 2019

Sci Rep

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Complex interfaces stabilized by proteins, polymers or nanoparticles, have a much richer dynamics than those stabilized by simple surfactants. By subjecting fluid-fluid interfaces to step extension-compression deformations, we show that in general these complex interfaces have dynamic heterogeneity in their relaxation response that is well described by a Kohlrausch-Williams-Watts function, with stretch exponent β between 0.4–0.6 for extension, and 0.6–1.0 for compression. The difference in β between expansion and compression points to an asymmetry in the dynamics. Using atomic force microscopy and simulations we prove that the dynamic heterogeneity is intimately related to interfacial structural heterogeneity and show that the dominant mode for stretched exponential relaxation is momentum transfer between bulk and interface, a mechanism which has so far largely been ignored in experimental surface rheology. We describe how its rate constant can be determined using molecular dynamics simulations. These interfaces clearly behave like disordered viscoelastic solids and need to be described substantially different from the 2d homogeneous viscoelastic fluids typically formed by simple surfactants.

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Section: Introductionmentioning

confidence: 99%

Dynamic heterogeneity in complex interfaces of soft interface-dominated materials

Sagis

Liu

et al. 2019

Sci Rep

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“…Decreasing Pe implies that surfactant diffusion becomes stronger, and as a consequence bothÃ c and k c increase. Since Marangoni forces become weaker as Pe decreases, all of the features in figure 1 (at any Re) tend to be flattened out, withÃ c and k c becoming independent of M (Kumar & Matar 2004a;Giavedoni & Ubal 2007). Reducing Pe also decreases the magnitude of the Marangoni term in equation (5.1).…”

Section: Results and Discussion: Newtonian Casementioning

confidence: 92%

“…It is well known that in the presence of inertia, a vertically vibrated liquid free surface can become unstable, giving rise to Faraday waves (Faraday 1831;Benjamin & Ursell 1954;Kumar 1996)). The effects of insoluble surfactants on this instability have recently been accounted for through linear stability analysis (Kumar & Matar 2004a, b;Giavedoni & Ubal 2007) and numerical simulations (Ubal, Giavedoni & Saita 2005a, b, c). In addition to these studies, which analyse the full Navier-Stokes equations, a model based on the lubrication approximation has been developed and investigated (Kumar & Matar 2002;Matar, Kumar & Craster 2004).…”

Section: Introductionmentioning

confidence: 99%

Surfactant- and elasticity-induced inertialess instabilities in vertically vibrated liquids

Suman

Kumar

2008

J. Fluid Mech.

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We investigate instabilities that arise when the free surface of a liquid covered with an insoluble surfactant is vertically vibrated and inertial effects are negligible. In the absence of surfactants, the inertialess Newtonian system is found to be stable, in contrast to the case where inertia is present. Linear stability analysis and Floquet theory are applied to calculate the critical vibration amplitude needed to excite the instability and the corresponding wavenumber. A previously reported long-wavelength instability is found to persist to finite wavelengths, and the connection between the long-wavelength and finite-wavelength theories is explored in detail. The instability mechanism is also probed and requires the Marangoni flows to be sufficiently strong and in the appropriate phase with respect to the gravity modulation. For viscoelastic liquids, we find that instability can arise even in the absence of surfactants and inertia. Mathieu equations describing this are derived and these show that elasticity introduces an effective inertia into the system.

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“…Giavedoni and Ubal [107] studied the formation of Faraday waves on the free surface of a liquid layer covered by an insoluble surfactant. The linear analysis included the effects of both surface elasticity and surface viscosity.…”

Section: Influence Of Surfactants and Stratified Fluidsmentioning

confidence: 99%

Recent Advances in Physics of Fluid Parametric Sloshing and Related Problems

Ibrahim

2015

Journal of Fluids Engineering

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Liquid parametric sloshing, known also as Faraday waves, has been a long standing subject of interest. The development of the theory of Faraday waves has witnessed a number of controversies regarding the analytical treatment of sloshing modal equations and modes competition. One of the significant contributions is that the energy is transferred from lower to higher harmonics and the nonlinear coupling generated static components in the temporal Fourier spectrum, leading to a contribution of a nonoscillating permanent sinusoidal deformed surface state. This article presents an overview of different problems of Faraday waves. These include the boundary value problem of liquid parametric sloshing, the influence of damping and surfactants on the stability and response of the free surface, the weakly nonlinear parametric and autoparametric sloshing dynamics, and breaking waves under high parametric excitation level. An overview of the physics of Faraday wave competition together with pattern formation under single-, two-, three-, and multifrequency parametric excitation will be presented. Significant effort was made in order to understand and predict the pattern selection using analytical and numerical tools. Mechanisms for selecting the main frequency responses that are different from the first subharmonic one were identified in the literature. Nontraditional sources of parametric excitation and Faraday waves of ferromagnetic films and ferrofluids will be briefly discussed. Under random parametric excitation and g-jitter, the behavior of Faraday waves is described in terms of stochastic stability modes and spectral density function.

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Onset of Faraday Waves in a Liquid Layer Covered with a Surfactant with Elastic and Viscous Properties

Cited by 8 publications

References 22 publications

Dynamic heterogeneity in complex interfaces of soft interface-dominated materials

Dynamic heterogeneity in complex interfaces of soft interface-dominated materials

Surfactant- and elasticity-induced inertialess instabilities in vertically vibrated liquids

Recent Advances in Physics of Fluid Parametric Sloshing and Related Problems

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