Direct measurement of the dispersion relation of capillary waves by laser interferometry

Behroozi, F.; Perkins, Amy E.

doi:10.1119/1.2215617

Cited by 28 publications

(18 citation statements)

References 26 publications

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“…At high temperatures, when the material has reached a liquid state, capillary forces become dominant, so that information about the surface tension can be extracted from the propagation characteristics of capillary waves. In this regime, the technique is an extension of the technique reported by Yasomoto et al [11,12] and compatible to the results obtained by Ikeda et al [13] and Behroozi et al [14,15].…”

Section: Introductionsupporting

confidence: 89%

Thermoelastic Model for Impulsive Stimulated Scattering Monitoring the Evolution from Capillary to Rayleigh Type Wave Propagation on the Surface of Viscoelastic Materials Throughout the Glass Transition

et al. 2012

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In recent decades, the impulsive stimulated scattering (ISS) method, which is based on photothermal and photoacoustic phenomena, has been successfully used to simultaneously investigate the thermal and elastic properties in a four-wave mixing configuration, both in transmission in semitransparent materials and on reflecting surfaces of solids. In this report, an extension of the technique is proposed to study a laser-induced thermoelastic response at the free surface of glass-forming liquids. The employed all-optical configuration allows extraction of information about the acoustic shear modulus in the MHz frequency range, and hence is complementary to the classical ISS configuration in the transmission mode, which is suitable to study the relaxation of the longitudinal acoustic modulus, and to another earlier reported ISS configuration, which is exciting and probing laser-induced thermoelastic phenomena at a liquid-solid interface. A theoretical model is presented and numerically illustrated for the glass transition of glycerol, and experimentally validated for water at room temperature.

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Section: Introductionsupporting

confidence: 89%

Thermoelastic Model for Impulsive Stimulated Scattering Monitoring the Evolution from Capillary to Rayleigh Type Wave Propagation on the Surface of Viscoelastic Materials Throughout the Glass Transition

et al. 2012

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“…If we only consider acoustic waves while neglecting capillary waves, the horseshoe structure can be considered as a rigid cuboid with the interface as a flexible membrane. [33][34][35] For such a case, the resonant frequencies are calculated to be in the MHz range, 36 while it is observed experimentally that resonant frequencies are in kHz range. This confirms the dominance of capillary force over acoustic force on the interface in the frequency range that we employ (5-100 kHz).…”

Section: Theorymentioning

confidence: 94%

“…We assume the liquid to be inviscid; 21 therefore, the pressure and velocity distribution in the system can be characterized by velocity potentials. 15,[19][20][21] Let wðx; y; z; tÞ and uðx; y; z; tÞ denote the velocity potentials 18,19,33 of regions 1 and 2, respectively; v z is the velocity of the interface in z direction; g is the viscosity of the liquid in region 1; Sðx; y; tÞ is the interface amplitude; r is surface tension of the interface; q 1 ; q 2 are the density of fluids in regions 1 and 2, respectively; and a, b, and h are the dimensions of horseshoe structure. For a small perturbation in the interface shape, we analyze the system to determine the dispersion relation and resonant frequencies.…”

Section: Theorymentioning

confidence: 99%

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Theory and experiment on resonant frequencies of liquid-air interfaces trapped in microfluidic devices

Chindam

Nama

Lapsley

et al. 2013

Journal of Applied Physics

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Bubble-based microfluidic devices have been proven to be useful for many biological and chemical studies. These bubble-based microdevices are particularly useful when operated at the trapped bubbles' resonance frequencies. In this work, we present an analytical expression that can be used to predict the resonant frequency of a bubble trapped over an arbitrary shape. Also, the effect of viscosity on the dispersion characteristics of trapped bubbles is determined. A good agreement between experimental data and theoretical results is observed for resonant frequency of bubbles trapped over different-sized rectangular-shaped structures, indicating that our expression can be valuable in determining optimized operational parameters for many bubble-based microfluidic devices. Furthermore, we provide a close estimate for the harmonics and a method to determine the dispersion characteristics of a bubble trapped over circular shapes. Finally, we present a new method to predict fluid properties in microfluidic devices and complement the explanation of acoustic microstreaming. V C 2013 AIP Publishing LLC. [http://dx

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“…24,25 We describe a noncontact method for the precision measurement of the dispersion and attenuation of capillary waves on fluids. The dispersion data give the surface tension, 26,27 and the attenuation data yield the viscosity. 28 We use a novel miniature laser interferometer 29 to obtain the wave profile with a resolution of about 5 nm.…”

Section: Introductionmentioning

confidence: 99%

Stokes’ dream: Measurement of fluid viscosity from the attenuation of capillary waves

Behroozi

Smith

Even

2010

American Journal of Physics

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The determination of viscosity from the attenuation of capillary waves was first suggested by Stokes more than a century ago. At the time, it was not practical to measure the attenuation of surface waves with the requisite precision to render the method useful. We describe a noncontact method for measuring the wavelength and amplitude of single-frequency capillary waves to obtain reliable values of the surface tension and viscosity. The attenuation data for several glycerin-water mixtures are used to obtain the viscosity as a function of glycerin concentration. For a wide range of viscosity, the method yields results that are in good agreement with the most reliable published data.

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Direct measurement of the dispersion relation of capillary waves by laser interferometry

Cited by 28 publications

References 26 publications

Thermoelastic Model for Impulsive Stimulated Scattering Monitoring the Evolution from Capillary to Rayleigh Type Wave Propagation on the Surface of Viscoelastic Materials Throughout the Glass Transition

Thermoelastic Model for Impulsive Stimulated Scattering Monitoring the Evolution from Capillary to Rayleigh Type Wave Propagation on the Surface of Viscoelastic Materials Throughout the Glass Transition

Theory and experiment on resonant frequencies of liquid-air interfaces trapped in microfluidic devices

Stokes’ dream: Measurement of fluid viscosity from the attenuation of capillary waves

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