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Linear stability analysis for monami in a submerged seagrass bed
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Singh, Ravi, Bandi, M. M., Mahadevan, Amala and Mandre, Shreyas (2016) Linear stability analysis for monami in a submerged seagrass bed. Journal of Fluid Mechanics, 786 . R1. doi:10.1017/jfm.2015.642
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Official URL: http://dx.doi.org/10.1017/jfm.2015.642
Abstract
The onset of monami – the synchronous waving of seagrass beds driven by a steady flow – is modelled as a linear instability of the flow. Unlike previous works, our model considers the drag exerted by the grass in establishing the steady flow profile, and in damping out perturbations to it. We find two distinct modes of instability, which we label modes 1 and 2. Mode 1 is closely related to Kelvin–Helmholtz instability modified by vegetation drag, whereas mode 2 is unrelated to Kelvin–Helmholtz instability and arises from an interaction between the flow in the vegetated and unvegetated layers. The vegetation damping, according to our model, leads to a finite threshold flow for both of these modes. Experimental observations for the onset and frequency of waving compare well with model predictions for the instability onset criteria and the imaginary part of the complex growth rate respectively, but experiments lie in a parameter regime where the two modes can not be distinguished.
| Item Type: | Journal Article | ||||||||
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| Subjects: | G Geography. Anthropology. Recreation > GC Oceanography Q Science > QA Mathematics T Technology > TC Hydraulic engineering. Ocean engineering |
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| Divisions: | Faculty of Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Stability , Fluid dynamics -- Mathematical models, Coastal engineering -- Mathematical models, Marine geophysics | ||||||||
| Journal or Publication Title: | Journal of Fluid Mechanics | ||||||||
| Publisher: | Cambridge University Press | ||||||||
| ISSN: | 0022-1120 | ||||||||
| Official Date: | 10 January 2016 | ||||||||
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| Volume: | 786 | ||||||||
| Article Number: | R1 | ||||||||
| DOI: | 10.1017/jfm.2015.642 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access | ||||||||
| RIOXX Funder/Project Grant: |
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