Nonlinear long waves over a muddy beach
We analyse theoretically the interaction between water waves and a thin layer of fluid mud on a sloping seabed. Under the assumption of long waves in shallow water, weakly nonlinear and dispersive effects in water are considered. The fluid mud is modelled as a thin layer of viscoelastic continuum. U...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
|
| Online Access: | https://hdl.handle.net/10356/99684 http://hdl.handle.net/10220/11028 |
| _version_ | 1826125435621081088 |
|---|---|
| author | Garnier, Erell-Isis Huang, Zhenhua Mei, Chiang C. |
| author2 | School of Civil and Environmental Engineering |
| author_facet | School of Civil and Environmental Engineering Garnier, Erell-Isis Huang, Zhenhua Mei, Chiang C. |
| author_sort | Garnier, Erell-Isis |
| collection | NTU |
| description | We analyse theoretically the interaction between water waves and a thin layer of fluid mud on a sloping seabed. Under the assumption of long waves in shallow water, weakly nonlinear and dispersive effects in water are considered. The fluid mud is modelled as a thin layer of viscoelastic continuum. Using the constitutive coefficients of mud samples from two field sites, we examine the interaction of nonlinear waves and the mud motion. The effects of attenuation on harmonic evolution of surface waves are compared for two types of mud with distinct rheological properties. In general mud dissipation is found to damp out surface waves before they reach the shore, as is known in past observations. Similar to the Eulerian current in an oscillatory boundary layer in a Newtonian fluid, a mean displacement in mud is predicted which may lead to local rise of the sea bottom. |
| first_indexed | 2024-10-01T06:36:15Z |
| format | Journal Article |
| id | ntu-10356/99684 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:36:15Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/996842020-03-07T11:43:46Z Nonlinear long waves over a muddy beach Garnier, Erell-Isis Huang, Zhenhua Mei, Chiang C. School of Civil and Environmental Engineering We analyse theoretically the interaction between water waves and a thin layer of fluid mud on a sloping seabed. Under the assumption of long waves in shallow water, weakly nonlinear and dispersive effects in water are considered. The fluid mud is modelled as a thin layer of viscoelastic continuum. Using the constitutive coefficients of mud samples from two field sites, we examine the interaction of nonlinear waves and the mud motion. The effects of attenuation on harmonic evolution of surface waves are compared for two types of mud with distinct rheological properties. In general mud dissipation is found to damp out surface waves before they reach the shore, as is known in past observations. Similar to the Eulerian current in an oscillatory boundary layer in a Newtonian fluid, a mean displacement in mud is predicted which may lead to local rise of the sea bottom. Published version 2013-07-09T01:49:45Z 2019-12-06T20:10:16Z 2013-07-09T01:49:45Z 2019-12-06T20:10:16Z 2013 2013 Journal Article Garnier, E.-I., Huang, Z., & Mei, C. C. (2013). Nonlinear long waves over a muddy beach. Journal of Fluid Mechanics, 718, 371-397. 0022-1120 https://hdl.handle.net/10356/99684 http://hdl.handle.net/10220/11028 10.1017/jfm.2012.617 en Journal of fluid mechanics © 2013 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 the following official DOI: [http://dx.doi.org/10.1017/jfm.2012.617]. 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. application/pdf |
| spellingShingle | Garnier, Erell-Isis Huang, Zhenhua Mei, Chiang C. Nonlinear long waves over a muddy beach |
| title | Nonlinear long waves over a muddy beach |
| title_full | Nonlinear long waves over a muddy beach |
| title_fullStr | Nonlinear long waves over a muddy beach |
| title_full_unstemmed | Nonlinear long waves over a muddy beach |
| title_short | Nonlinear long waves over a muddy beach |
| title_sort | nonlinear long waves over a muddy beach |
| url | https://hdl.handle.net/10356/99684 http://hdl.handle.net/10220/11028 |
| work_keys_str_mv | AT garniererellisis nonlinearlongwavesoveramuddybeach AT huangzhenhua nonlinearlongwavesoveramuddybeach AT meichiangc nonlinearlongwavesoveramuddybeach |