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Title: Universal scaling-law for flow resistance over canopies with complex morphology

Abstract

Flow resistance caused by vegetation is a key parameter to properly assess flood management and river restoration. However, quantifying the friction factor or any of its alternative metrics, e.g. the drag coefficient, in canopies with complex geometry has proven elusive. We explore the effect of canopy morphology on vegetated channels flow structure and resistance by treating the canopy as a porous medium characterized by an effective permeability, a property that describes the ease with which water can flow through the canopy layer. We employ a two-domain model for flow over and within the canopy, which couples the log-law in the free layer to the Darcy-Brinkman equation in the vegetated layer. We validate the model analytical solutions for the average velocity profile within and above the canopy, the volumetric discharge and the friction factor against data collected across a wide range of canopy morphologies encountered in riverine systems. Results indicate agreement between model predictions and data for both simple and complex plant morphologies. For low submergence canopies, we find a universal scaling law that relates friction factor with canopy permeability and a rescaled bulk Reynolds number. This provides a valuable tool to assess habitats sustainability associated with hydro-dynamical conditions.

Authors:
 [1];  [1];  [1]
  1. Stanford Univ., CA (United States). Dept. of Energy Resources Engineering
Publication Date:
Research Org.:
San Diego State Univ., CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Biological and Environmental Research (BER) (SC-23)
OSTI Identifier:
1481269
Grant/Contract Number:  
SC0016484
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 8; Journal Issue: 1; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
54 ENVIRONMENTAL SCIENCES; 58 GEOSCIENCES

Citation Formats

Rubol, Simonetta, Ling, Bowen, and Battiato, Ilenia. Universal scaling-law for flow resistance over canopies with complex morphology. United States: N. p., 2018. Web. doi:10.1038/s41598-018-22346-1.
Rubol, Simonetta, Ling, Bowen, & Battiato, Ilenia. Universal scaling-law for flow resistance over canopies with complex morphology. United States. doi:10.1038/s41598-018-22346-1.
Rubol, Simonetta, Ling, Bowen, and Battiato, Ilenia. Tue . "Universal scaling-law for flow resistance over canopies with complex morphology". United States. doi:10.1038/s41598-018-22346-1. https://www.osti.gov/servlets/purl/1481269.
@article{osti_1481269,
title = {Universal scaling-law for flow resistance over canopies with complex morphology},
author = {Rubol, Simonetta and Ling, Bowen and Battiato, Ilenia},
abstractNote = {Flow resistance caused by vegetation is a key parameter to properly assess flood management and river restoration. However, quantifying the friction factor or any of its alternative metrics, e.g. the drag coefficient, in canopies with complex geometry has proven elusive. We explore the effect of canopy morphology on vegetated channels flow structure and resistance by treating the canopy as a porous medium characterized by an effective permeability, a property that describes the ease with which water can flow through the canopy layer. We employ a two-domain model for flow over and within the canopy, which couples the log-law in the free layer to the Darcy-Brinkman equation in the vegetated layer. We validate the model analytical solutions for the average velocity profile within and above the canopy, the volumetric discharge and the friction factor against data collected across a wide range of canopy morphologies encountered in riverine systems. Results indicate agreement between model predictions and data for both simple and complex plant morphologies. For low submergence canopies, we find a universal scaling law that relates friction factor with canopy permeability and a rescaled bulk Reynolds number. This provides a valuable tool to assess habitats sustainability associated with hydro-dynamical conditions.},
doi = {10.1038/s41598-018-22346-1},
journal = {Scientific Reports},
number = 1,
volume = 8,
place = {United States},
year = {Tue Mar 13 00:00:00 EDT 2018},
month = {Tue Mar 13 00:00:00 EDT 2018}
}

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