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Damping of gravity-capillary waves on the water surface covered with surface films has been well studied for the case of monomolecular films. In this case, the damping is determined by the elasticity of the film and the surface tension coefficient. The parameter of elasticity itself was introduced for a monomolecular film. The elasticity is determined by dependence of the surface tension on surfactant concentration. Therefore, the usage of this parameter when describing an oil film of nonzero thickness is generally not indisputable. In this paper, we justified the capability of the usage of a phenomenologically introduced parameter - elasticity for quantitative description of the wave damping due to oil films in the wide range of oil film thickness. It is shown that the value of the elasticity dramatically affects dependences of wave characteristics on film thickness. The analysis is based on comparison between results of our laboratory measurements and numerical calculations carried out in the framework of a model of two viscous layer fluids with elastic interface.
I. Sergievskaya andS. Ermakov
"A phenomenological model of wave damping due to oil films", Proc. SPIE 11150, Remote Sensing of the Ocean, Sea Ice, Coastal Waters, and Large Water Regions 2019, 111500K (14 October 2019); https://doi.org/10.1117/12.2533242
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I. Sergievskaya, S. Ermakov, "A phenomenological model of wave damping due to oil films," Proc. SPIE 11150, Remote Sensing of the Ocean, Sea Ice, Coastal Waters, and Large Water Regions 2019, 111500K (14 October 2019); https://doi.org/10.1117/12.2533242