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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.18273 |
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| _version_ | 1866913141028290560 |
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| author | Pot, Hanna Christiaens, Bram van de Water, Willem |
| author_facet | Pot, Hanna Christiaens, Bram van de Water, Willem |
| contents | The hydroelastic response of free floating viscoelastic covers is measured using Faraday waves on the surface of a vertically oscillated fluid layer. We systematically vary the thickness $d$ of the covers to investigate its effect on the hydroelastic dispersion relation, the damping and the isotropy of the waves. Compared to bare fluids, the wave patterns are disordered. Various methods are explored to define and analyze the wavelengths, the isotropy, and shape of the waves. We find a significant difference between the measurements and the theoretical dispersion relation. Over all thicknesses $d$, this is explained by an increase in the in-plane membrane tension, which scales with $d^{3/2}$. Covering waves also has a large efect on their damping. Only for thin covers ($d = 20\: μ{\rm m}$) the onset amplitude (and thus the damping) can be explained by dissipation in the bulk and in the boundary layer of the water beneath the cover. The same was found for bare water due to the presence of an immobile surface layer. Lastly, we find a large effect of the membrane on the ampitude of the waves, which we attribute to nonlinear wave interaction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_18273 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Faraday waves covered by a viscoelastic sheet Pot, Hanna Christiaens, Bram van de Water, Willem Fluid Dynamics The hydroelastic response of free floating viscoelastic covers is measured using Faraday waves on the surface of a vertically oscillated fluid layer. We systematically vary the thickness $d$ of the covers to investigate its effect on the hydroelastic dispersion relation, the damping and the isotropy of the waves. Compared to bare fluids, the wave patterns are disordered. Various methods are explored to define and analyze the wavelengths, the isotropy, and shape of the waves. We find a significant difference between the measurements and the theoretical dispersion relation. Over all thicknesses $d$, this is explained by an increase in the in-plane membrane tension, which scales with $d^{3/2}$. Covering waves also has a large efect on their damping. Only for thin covers ($d = 20\: μ{\rm m}$) the onset amplitude (and thus the damping) can be explained by dissipation in the bulk and in the boundary layer of the water beneath the cover. The same was found for bare water due to the presence of an immobile surface layer. Lastly, we find a large effect of the membrane on the ampitude of the waves, which we attribute to nonlinear wave interaction. |
| title | Faraday waves covered by a viscoelastic sheet |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2605.18273 |