Faculty Publications

Effect Of Viscosity On Dispersion Of Capillary-Gravity Waves

Document Type

Article

Keywords

Capillary waves, Dispersion relation, Viscosity, Wave attenuation

Journal/Book/Conference Title

Wave Motion

Volume

48

Issue

2

First Page

176

Last Page

183

Abstract

The effect of viscosity on dispersion of capillary-gravity waves becomes significant when the attenuation coefficient is greater than about 2.5% of the wave number. For low viscosity fluids such as water this condition is met at frequencies greater than about 5. kHz in which case direct measurement of wavelength is difficult. For higher viscosity fluids the effect appears at much lower frequencies but direct measurement of wavelength becomes difficult since viscosity causes severe attenuation of surface waves. We have overcome the measurement difficulties by using a new miniature laser interferometer, which directly measures the wavelength of standing capillary waves with the requisite precision to yield reliable dispersion data for viscous fluids. Here we review the effect of viscosity on the dispersion relation and present new experimental data on dispersion of capillary waves in several water-glycerol mixtures. Our data provides direct experimental verification of the theoretical analysis. © 2010 Elsevier B.V.

Department

Department of Physics

Original Publication Date

1-1-2011

DOI of published version

10.1016/j.wavemoti.2010.09.002

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