Vertical dispersion in vegetated shear flows
Abstract
Canopy layers control momentum and solute transport to and from the overlying water surface layer. These transfer mechanisms strongly dependent on canopy geometry, affect the amount of solute in the river, the hydrological retention and availability of dissolved solutes to organisms located in the vegetated layers, and are critical to improve water quality. In this work, we consider steady state transport in a vegetated channel under fully developed flow conditions. Under the hypothesis that the canopy layer can be described as an effective porous medium with prescribed properties, i.e., porosity and permeability, we model solute transport above and within the vegetated layer with an advection-dispersion equation with a spatially variable dispersion coefficient (diffusivity). By means of the Generalized Integral Transform Technique, we derive a semianalytical solution for the concentration field in submerged vegetated aquatic systems. We show that canopy layer’s permeability affects the asymmetry of the concentration profile, the effective vertical spreading behavior, and the magnitude of the peak concentration. Due to its analytical features, the model has a low computational cost. The proposed solution successfully reproduces previously published experimental data.
- Authors:
-
- Univ. of Southern California, Los Angeles, CA (United States)
- Stanford Univ., CA (United States)
- Publication Date:
- Research Org.:
- San Diego State Univ., CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1532994
- Grant/Contract Number:
- SC0014227
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Water Resources Research
- Additional Journal Information:
- Journal Volume: 52; Journal Issue: 10; Journal ID: ISSN 0043-1397
- Publisher:
- American Geophysical Union (AGU)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 54 ENVIRONMENTAL SCIENCES; Environmental Sciences & Ecology; Marine & Freshwater Biology; Water Resources
Citation Formats
Rubol, Simonetta, Battiato, Ilenia, and de Barros, Felipe P. J. Vertical dispersion in vegetated shear flows. United States: N. p., 2016.
Web. doi:10.1002/2016wr018907.
Rubol, Simonetta, Battiato, Ilenia, & de Barros, Felipe P. J. Vertical dispersion in vegetated shear flows. United States. https://doi.org/10.1002/2016wr018907
Rubol, Simonetta, Battiato, Ilenia, and de Barros, Felipe P. J. Mon .
"Vertical dispersion in vegetated shear flows". United States. https://doi.org/10.1002/2016wr018907. https://www.osti.gov/servlets/purl/1532994.
@article{osti_1532994,
title = {Vertical dispersion in vegetated shear flows},
author = {Rubol, Simonetta and Battiato, Ilenia and de Barros, Felipe P. J.},
abstractNote = {Canopy layers control momentum and solute transport to and from the overlying water surface layer. These transfer mechanisms strongly dependent on canopy geometry, affect the amount of solute in the river, the hydrological retention and availability of dissolved solutes to organisms located in the vegetated layers, and are critical to improve water quality. In this work, we consider steady state transport in a vegetated channel under fully developed flow conditions. Under the hypothesis that the canopy layer can be described as an effective porous medium with prescribed properties, i.e., porosity and permeability, we model solute transport above and within the vegetated layer with an advection-dispersion equation with a spatially variable dispersion coefficient (diffusivity). By means of the Generalized Integral Transform Technique, we derive a semianalytical solution for the concentration field in submerged vegetated aquatic systems. We show that canopy layer’s permeability affects the asymmetry of the concentration profile, the effective vertical spreading behavior, and the magnitude of the peak concentration. Due to its analytical features, the model has a low computational cost. The proposed solution successfully reproduces previously published experimental data.},
doi = {10.1002/2016wr018907},
journal = {Water Resources Research},
number = 10,
volume = 52,
place = {United States},
year = {Mon Sep 26 00:00:00 EDT 2016},
month = {Mon Sep 26 00:00:00 EDT 2016}
}
Web of Science
Works referenced in this record:
Mass Transport in Vegetated Shear Flows
journal, December 2005
- Ghisalberti, Marco; Nepf, Heidi
- Environmental Fluid Mechanics, Vol. 5, Issue 6
Vertical velocity distributions through and above submerged, flexible vegetation
journal, August 2008
- Kubrak, ElŻBieta; Kubrak, Janusz; RowiŃSki, PaweŁ M.
- Hydrological Sciences Journal, Vol. 53, Issue 4
Ueber die Wärmeleitungsfähigkeit von Flüssigkeiten
journal, January 1882
- Graetz, L.
- Annalen der Physik, Vol. 254, Issue 1
Flow and transport in channels with submerged vegetation
journal, May 2008
- Nepf, Heidi; Ghisalberti, Marco
- Acta Geophysica, Vol. 56, Issue 3
Contaminant transport in finite fractured porous medium: integral transforms and lumped-differential formulations
journal, February 2003
- Cotta, R. M.; Ungs, M. J.; Mikhailov, M. D.
- Annals of Nuclear Energy, Vol. 30, Issue 3
Analytical solution for one-dimensional advection–dispersion transport equation with distance-dependent coefficients
journal, August 2010
- Pérez Guerrero, J. S.; Skaggs, T. H.
- Journal of Hydrology, Vol. 390, Issue 1-2
On the reduction of computational costs in eigenfunction expansions of multidimensional diffusion problems
journal, November 1997
- Corrêa, E. J.; Cotta, R. M.; Orlande, H. R. B.
- International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 7, Issue 7
Flow and Transport in Regions with Aquatic Vegetation
journal, January 2012
- Nepf, Heidi M.
- Annual Review of Fluid Mechanics, Vol. 44, Issue 1
Solute transport in rivers with multiple storage zones: The STIR model: STIR MODEL
journal, October 2008
- Marion, A.; Zaramella, M.; Bottacin-Busolin, A.
- Water Resources Research, Vol. 44, Issue 10
Dispersion controlled by permeable surfaces: surface properties and scaling
journal, July 2016
- Ling, Bowen; Tartakovsky, Alexandre M.; Battiato, Ilenia
- Journal of Fluid Mechanics, Vol. 801
Analytical Methods for Heat Transfer and Fluid Flow Problems
book, January 2004
- Weigand, Bernhard
- Springer Berlin, Heidelberg
Unified Integral Transforms Algorithm for Solving Multidimensional Nonlinear Convection-Diffusion Problems
journal, June 2013
- Cotta, Renato M.; Knupp, Diego C.; Naveira-Cotta, Carolina P.
- Numerical Heat Transfer, Part A: Applications, Vol. 63, Issue 11
Modeling flow in coral communities with and without waves: A synthesis of porous media and canopy flow approaches
journal, November 2008
- Lowe, Ryan J.; Shavit, Uri; Falter, James L.
- Limnology and Oceanography, Vol. 53, Issue 6
Lateral dispersion in random cylinder arrays at high Reynolds number
journal, March 2008
- Tanino, Yukie; Nepf, Heidi M.
- Journal of Fluid Mechanics, Vol. 600
Turbulence Modeling of Solute Transport in Open-Channel Flows Over Submerged Vegetation
book, January 2009
- Kang, Hyeongsik; Choi, SungUk
- Advances in Water Resources and Hydraulic Engineering
Oscillatory flow through submerged canopies: 1. Velocity structure
journal, January 2005
- Lowe, Ryan J.
- Journal of Geophysical Research, Vol. 110, Issue C10
Homogenizability conditions for multicomponent reactive transport
journal, December 2013
- Boso, Francesca; Battiato, Ilenia
- Advances in Water Resources, Vol. 62
The Lagrangian concentration approach for determining dilution in aquifer transport: Theoretical analysis and comparison with field experiments
journal, December 2001
- Fiori, A.
- Water Resources Research, Vol. 37, Issue 12
On Veracity of Macroscopic Lithium-Ion Battery Models
journal, January 2015
- Arunachalam, Harikesh; Onori, Simona; Battiato, Ilenia
- Journal of The Electrochemical Society, Vol. 162, Issue 10
A New Approach To Predicting The Dispersion Of A Continuous Pollutant Source
journal, January 1984
- Mcnulty, A. J.; Wood, I. R.
- Journal of Hydraulic Research, Vol. 22, Issue 1
Semi-analytical solutions for solute transport and exchange in fractured porous media: SOLUTE TRANSPORT IN FRACTURED POROUS MEDIA
journal, January 2012
- Roubinet, Delphine; de Dreuzy, J. -R.; Tartakovsky, Daniel M.
- Water Resources Research, Vol. 48, Issue 1
Effects of wall permeability on turbulence
journal, December 2010
- Suga, K.; Matsumura, Y.; Ashitaka, Y.
- International Journal of Heat and Fluid Flow, Vol. 31, Issue 6
A reduced complexity model for dynamic similarity in obstructed shear flows: SIMILARITY IN OBSTRUCTED SHEAR FLOWS
journal, August 2013
- Papke, A.; Battiato, I.
- Geophysical Research Letters, Vol. 40, Issue 15
The influence of wall permeability on turbulent channel flow
journal, August 2006
- Breugem, W. P.; Boersma, B. J.; Uittenbogaard, R. E.
- Journal of Fluid Mechanics, Vol. 562
Hyporheic Exchange in Mountain Rivers I: Mechanics and Environmental Effects
journal, May 2009
- Tonina, Daniele; Buffington, John M.
- Geography Compass, Vol. 3, Issue 3
A phenomenological model for the flow resistance over submerged vegetation: MANNING'S ROUGHNESS IN VEGETATED CHANNELS
journal, February 2012
- Konings, Alexandra G.; Katul, Gabriel G.; Thompson, Sally E.
- Water Resources Research, Vol. 48, Issue 2
Self-similarity in coupled Brinkman/Navier–Stokes flows
journal, April 2012
- Battiato, Ilenia
- Journal of Fluid Mechanics, Vol. 699
The limited growth of vegetated shear layers: LIMITED GROWTH OF VEGETATED SHEAR LAYERS
journal, July 2004
- Ghisalberti, M.; Nepf, H. M.
- Water Resources Research, Vol. 40, Issue 7
Integral transforms for three-dimensional steady turbulent dispersion in rivers and channels
journal, December 2007
- de Barros, Felipe P. J.; Cotta, Renato M.
- Applied Mathematical Modelling, Vol. 31, Issue 12
Interaction between flow, transport and vegetation spatial structure
journal, July 2008
- Luhar, Mitul; Rominger, Jeffrey; Nepf, Heidi
- Environmental Fluid Mechanics, Vol. 8, Issue 5-6
Hydraulic resistance of submerged rigid vegetation derived from first-order closure models: HYDRAULIC RESISTANCE OF SUBMERGED RIGID VEGETATION
journal, October 2009
- Poggi, Davide; Krug, Claudia; Katul, Gabriel G.
- Water Resources Research, Vol. 45, Issue 10
Laminar forced convection inside ducts with periodic variation of inlet temperature
journal, October 1986
- Cotta, R. M.; Özişik, M. N.
- International Journal of Heat and Mass Transfer, Vol. 29, Issue 10
Flow and mixing dynamics in a patterned wetland: Kilometer-scale tracer releases in the Everglades: FLOW AND MIXING IN THE EVERGLADES
journal, August 2009
- Variano, Evan A.; Ho, David T.; Engel, Victor C.
- Water Resources Research, Vol. 45, Issue 8
Scalar transport in random cylinder arrays at moderate Reynolds number
journal, June 2003
- White, Brian L.; Nepf, Heidi M.
- Journal of Fluid Mechanics, Vol. 487
A theoretical framework for modeling dilution enhancement of non-reactive solutes in heterogeneous porous media
journal, April 2015
- de Barros, F. P. J.; Fiori, A.; Boso, F.
- Journal of Contaminant Hydrology, Vol. 175-176
Analytical solution of a spatially variable coefficient advection–diffusion equation in up to three dimensions
journal, September 1999
- Zoppou, C.; Knight, J. H.
- Applied Mathematical Modelling, Vol. 23, Issue 9
On breakdown of macroscopic models of mixing-controlled heterogeneous reactions in porous media
journal, November 2009
- Battiato, I.; Tartakovsky, D. M.; Tartakovsky, A. M.
- Advances in Water Resources, Vol. 32, Issue 11
First-order based cumulative distribution function for solute concentration in heterogeneous aquifers: Theoretical analysis and implications for human health risk assessment
journal, May 2014
- de Barros, F. P. J.; Fiori, A.
- Water Resources Research, Vol. 50, Issue 5
Single-parameter model of vegetated aquatic flows
journal, August 2014
- Battiato, Ilenia; Rubol, Simonetta
- Water Resources Research, Vol. 50, Issue 8
Assessment and management of risk in subsurface hydrology: A review and perspective
journal, January 2013
- Tartakovsky, Daniel M.
- Advances in Water Resources, Vol. 51
Effects of Water Velocity and Canopy Morphology on Ammonium Uptake by Seagrass Communities
journal, October 2000
- Thomas, Florence I. M.; Cornelisen, Christopher D.; Zande, Jill M.
- Ecology, Vol. 81, Issue 10
Dispersion of water pollutants in a turbulent shear flow
journal, December 1976
- Yeh, Gour-Tsyh; Tsai, Yun-Jui
- Water Resources Research, Vol. 12, Issue 6
Hydraulic resistance of submerged flexible vegetation
journal, December 2002
- Stephan, Ursula; Gutknecht, Dieter
- Journal of Hydrology, Vol. 269, Issue 1-2
Shear instability and coherent structures in shallow flow adjacent to a porous layer
journal, November 2007
- White, Brian L.; Nepf, Heidi M.
- Journal of Fluid Mechanics, Vol. 593
Analytical models of heat conduction in fractured rocks
journal, January 2014
- Martínez, Á. Ruiz; Roubinet, D.; Tartakovsky, D. M.
- Journal of Geophysical Research: Solid Earth, Vol. 119, Issue 1
Vertical and lateral turbulent dispersion: some experimental results
journal, February 1988
- Nokes, R. I.; Wood, I. R.
- Journal of Fluid Mechanics, Vol. 187
Applicability regimes for macroscopic models of reactive transport in porous media
journal, March 2011
- Battiato, I.; Tartakovsky, D. M.
- Journal of Contaminant Hydrology, Vol. 120-121
Stability of natural convection in superposed fluid and porous layers: Equivalence of the one- and two-domain approaches
journal, January 2009
- Hirata, S. C.; Goyeau, B.; Gobin, D.
- International Journal of Heat and Mass Transfer, Vol. 52, Issue 1-2
The value of the world's ecosystem services and natural capital
journal, May 1997
- Costanza, Robert; d'Arge, Ralph; de Groot, Rudolf
- Nature, Vol. 387, Issue 6630
The UNIT algorithm for solving one-dimensional convection-diffusion problems via integral transforms
journal, May 2011
- Sphaier, L. A.; Cotta, R. M.; Naveira-Cotta, C. P.
- International Communications in Heat and Mass Transfer, Vol. 38, Issue 5
Integral transform solution of a two-dimensional model for contaminant dispersion in rivers and channels with spatially variable coefficients
journal, May 2006
- de Barros, F. P. J.; Mills, W. B.; Cotta, R. M.
- Environmental Modelling & Software, Vol. 21, Issue 5
A flow resistance model for assessing the impact of vegetation on flood routing mechanics: FLOW RESISTANCE OF VEGETATION
journal, August 2011
- Katul, Gabriel G.; Poggi, Davide; Ridolfi, Luca
- Water Resources Research, Vol. 47, Issue 8
Ueber die Wärmeleitungsfähigkeit von Flüssigkeiten
journal, January 1885
- Graetz, L.
- Annalen der Physik, Vol. 261, Issue 7
Integral Transforms for Three-Dimensional Steady Turbulent Dispersion in Rivers and Channels
conference, March 2009
- de Barros, Felipe P. J.; Cotta, Renato M.
- ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems, Heat Transfer: Volume 2
Analytical Methods for Heat Transfer and Fluid Flow Problems
book, January 2015
- Weigand, Bernhard
- Mathematical Engineering
Contaminant transport in finite fractured porous medium: integral transforms and lumped-differential formulations
journal, May 2003
- Cotta, R. M.
- Fuel and Energy Abstracts, Vol. 44, Issue 3, p. 187
Works referencing / citing this record:
Theory and Applications of Macroscale Models in Porous Media
journal, April 2019
- Battiato, Ilenia; Ferrero V., Peter T.; O’ Malley, Daniel
- Transport in Porous Media, Vol. 130, Issue 1
Rough or wiggly? Membrane topology and morphology for fouling control
journal, January 2019
- Ling, Bowen; Battiato, Ilenia
- Journal of Fluid Mechanics, Vol. 862
Mean Velocity and Shear Stress Distribution in Floating Treatment Wetlands: An Analytical Study
journal, August 2019
- Li, Shuolin; Katul, Gabriel; Huai, Wenxin
- Water Resources Research, Vol. 55, Issue 8
Integral transform analysis of radionuclide transport in variably saturated media using a physical non-equilibrium model: application to solid waste leaching at a uranium mining installation
journal, January 2020
- Cotta, Renato M.; Naveira-Cotta, Carolina P.; Genuchten, Martinus T.
- Anais da Academia Brasileira de Ciências, Vol. 92, Issue 1
Rough or Wiggly? Membrane Topology and Morphology for Fouling Control
text, January 2018
- Ling, Bowen; Battiato, Ilenia
- arXiv
Universal scaling-law for flow resistance over canopies with complex morphology
journal, March 2018
- Rubol, Simonetta; Ling, Bowen; Battiato, Ilenia
- Scientific Reports, Vol. 8, Issue 1