Experimental evidence of a maximum in the frequency domain of the ratio of ripple attenuation in monolayered water to that in pure water

Cini, Renzo; Lombardini, P. P.

doi:10.1016/0021-9797(81)90309-x

Cited by 25 publications

(12 citation statements)

References 5 publications

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“…Experimental evidence of such anomalously high damping of surface waves in the short-gravity-wave region by monomolecular slicks was obtained in laboratory experiments as early as 1981 by Cini and Lombardini [1981] and by Hiihnerfuss et al [1981b]. Recently, this effect has also been measured by Russian investigators in the open sea [Ermakov et al, 1985[Ermakov et al, , 1986.…”

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confidence: 99%

The damping of ocean waves by surface films: A new look at an old problem

Alpers¹,

Hühnerfuß²

1989

J. Geophys. Res.

324

174

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A new theory is presented explaining why not only short surface ripples, but also longer ocean surface waves are damped by oil films floating on the sea surface. The wave attenuation by viscoelastic surface films is attributed to the Marangoni effect, which causes a strong resonance‐type wave damping in the short‐gravity‐wave region, and to nonlinear wave‐wave interaction, by means of which wave energy is transferred from the longer waves to the energy sink in the Marangoni resonance region. A viscoelastic surface film changes the free surface boundary condition in the tangential direction and thus strongly modifies the flow pattern in the boundary layer. As a consequence, wave energy is dissipated by enhanced viscous damping in the short‐gravity‐wave region due to large velocity gradients induced in the viscous boundary layer. Estimates of the influence of surface films on nonlinear transfer rates are given. Data on wave damping obtained in laboratory and field experiments by previous investigators are discussed in the light of the proposed theory. It is found that this theory is capable of explaining the observed strong wave damping by viscoelastic surface films. The theory predicts that in the equilibrium range of the spectrum, but outside the Marangoni resonance region, wave damping increases with wave number k as k3/2 and increases quadratically with wind speed (up to the limit where the film is “washed down”). The higher the elasticity of the surface film, the stronger is the wave damping.

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mentioning

confidence: 99%

The damping of ocean waves by surface films: A new look at an old problem

Alpers¹,

Hühnerfuß²

1989

J. Geophys. Res.

324

174

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“…Elastic properties due to an adsorbed layer strongly affect propagation and damping of the predominant capillary-gravity wave. Wave excitation can be used to study the interfacial properties, as exemplified in the experiments of Lapham et al 9 on wave propagation on the surface of a single fluid.…”

Section: Discussionmentioning

confidence: 99%

“…The corresponding excitation by a linear wavemaker, as frequently used experimentally, 9,13,18,19 can hence be found by linear superposition. Excitation by a point source is discussed elsewhere.…”

Section: Introductionmentioning

confidence: 99%

“…The damping of the capillary-gravity waves can show a maximum for a value of the surface compression modulus that causes a resonance with the Marangoni wave. [7][8][9][10][11][12] The behavior is particularly involved when the elasticity moduli are complex due to relaxation phenomena. [13][14][15][16][17] Lucassen-Reynders and Lucassen 6 included only the effect of surface tension and surface dilatational elasticity modulus, but in general one must also allow for a surface shear modulus or a surface shear viscosity.…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of an interface with adsorption layer between two fluids

Felderhof

2006

Physics of Fluids

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The dynamics of a flat interface with adsorption layer between two viscous fluids is studied on the basis of the linearized Navier-Stokes equations. The dispersion equation for interfacial waves involves surface tension and elasticity moduli of the interface, besides gravitational acceleration. The displacement of the interface due to a force density applied at the interface is characterized by a susceptibility tensor. Wave excitation due to a monochromatic plane wave source or a monochromatic line source located at some distance from the interface is discussed.

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“…Lucassen, 1968Lucassen, , 1982Cini and Lombardini, 1981]. Such vector domain measurements can be performed by radar.…”

Section: Introductionmentioning

confidence: 99%

Radar signatures of oil films floating on the sea surface and the Marangoni effect

Alpers¹,

Hühnerfuß²

1988

J. Geophys. Res.

140

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Airborne radar backscattering experiments carried out recently by Singh et al. (1986) over sea surfaces covered with mineral oil films show that the radar cross section depression has a maximum as a function of incidence angle. In this paper we show that Singh et al.'s measurements can be explained by the Marangoni effect if the assumption is made that the mineral oil spill contained surface active material as “impurities.” The Marangoni effect causes a resonance‐type wave damping in the short gravity wave region when the sea surface is covered with a viscoelastic film. Maximum wave damping was observed by Singh et al. (1986) at frequencies around 8 Hz. Marangoni theory predicts such a maximum for surface active compounds of medium to low wave damping ability with a dilational modulus of the order of 0.01 Nm−1 Furthermore, it is demonstrated that the Ku band and C band radar backscattering depression curves do not contradict each other. It is pointed out that when converting the radar data into information on depression of spectral energy density of short surface waves, one has to take into account that the radar backscattering at low incidence angles is dominated by specular reflection, while at intermediate incidence angles it is dominated by Bragg scattering.

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Experimental evidence of a maximum in the frequency domain of the ratio of ripple attenuation in monolayered water to that in pure water

Cited by 25 publications

References 5 publications

The damping of ocean waves by surface films: A new look at an old problem

The damping of ocean waves by surface films: A new look at an old problem

Dynamics of an interface with adsorption layer between two fluids

Radar signatures of oil films floating on the sea surface and the Marangoni effect

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