Short and long waves over a muddy seabed

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Short and long waves over a muddy seabed

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dc.contributor.author Mei, Chiang C.
dc.contributor.author Krotov, Mikhael
dc.contributor.author Huang, Zhenhua
dc.contributor.author Huhe, Aode
dc.date.accessioned 2012-10-08T07:12:22Z
dc.date.available 2012-10-08T07:12:22Z
dc.date.copyright 2010
dc.date.issued 2012-10-08
dc.identifier.citation Mei, C. C., Krotov, M., Huang, Z., & Huhe, A. (2010). Short and long waves over a muddy seabed. Journal of Fluid Mechanics, 643, 33-58.
dc.identifier.uri http://hdl.handle.net/10220/8722
dc.description.abstract The available experimental results have shown that in time-periodic motion the rheology of fluid mud displays complex viscoelastic behaviour. Based on the measured rheology of fluid mud from two field sites, we study the interaction of water waves and fluid mud by a two-layered model in which the water above is assumed to be inviscid and the mud below is viscoelastic. As the fluid-mud layer in shallow seas is usually much thinner than the water layer above, the sharp contrast of scales enables an approximate analytical theory for the interaction between fluid mud and small-amplitude waves with a narrow frequency band. It is shown that at the leading order and within a short distance of a few wavelengths, wave pressure from above forces mud motion below. Over a much longer distance, waves are modified by the accumulative dissipation in mud. At the next order, infragravity waves owing to convective inertia (or radiation stresses) are affected indirectly by mud motion through the slow modulation of the short waves. Quantitative predictions are made for mud samples of several concentrations and from two different field sites.
dc.format.extent 26 p.
dc.language.iso en
dc.relation.ispartofseries Journal of fluid mechanics
dc.rights © 2010 Cambridge University Press. This paper was published in Journal of Fluid Mechanics and is made available as an electronic reprint (preprint) with permission of Cambridge University Press. The paper can be found at: [DOI: http://dx.doi.org/10.1017/S0022112009991923]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
dc.subject DRNTU::Science::Geology::Volcanoes and earthquakes
dc.title Short and long waves over a muddy seabed
dc.type Journal Article
dc.identifier.doi http://dx.doi.org/10.1017/S0022112009991923
dc.description.version Published version

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