Transverse and longitudinal mixing in real emergent vegetation at low velocities

Understanding solute mixing within real vegetation is critical to predicting and evaluating the performance of engineered natural systems such as storm water ponds. For the first time, mixing has been quantified through simultaneous laboratory measurements of transverse and longitudinal dispersion within artificial and real emergent vegetation. Dispersion coefficients derived from a routing solution to the 2‐D Advection Dispersion Equation (ADE) are presented that compare the effects of vegetation type (artificial, Typha latifolia or Carex acutiformis) and growth season (winter or summer). The new experimental dispersion coefficients are plotted with the experimental values from other studies and used to review existing mixing models for emergent vegetation. The existing mixing models fail to predict the observed mixing within natural vegetation, particularly for transverse dispersion, reflecting the complexity of processes associated with the heterogeneous nature of real vegetation. Observed stem diameter distributions are utilized to highlight the sensitivity of existing models to this key length‐scale descriptor, leading to a recommendation that future models intended for application to real vegetation should be based on probabilistic descriptions of both stem diameters and stem spacings.

[1]  M. O'hare Aquatic vegetation – a primer for hydrodynamic specialists , 2015 .

[2]  C. Mei,et al.  Flow and solute transport through a periodic array of vertical cylinders in shallow water , 2014, Journal of Fluid Mechanics.

[3]  Michele Mossa,et al.  Prediction of channel flow characteristics through square arrays of emergent cylinders , 2013 .

[4]  E. Cowen,et al.  The direct and indirect measurement of boundary stress and drag on individual and complex arrays of elements , 2013 .

[5]  Nicolas Buchmann,et al.  Influence of ZNMF jet flow control on the spatio-temporal flow structure over a NACA-0015 airfoil , 2013 .

[6]  H. Nepf Flow and Transport in Regions with Aquatic Vegetation , 2012 .

[7]  Zhenduo Zhu,et al.  Longitudinal Dispersion of Pollutants in Flow through Natural Vegetation , 2010, 2010 4th International Conference on Bioinformatics and Biomedical Engineering.

[8]  Joby Boxall,et al.  Effects of emergent and submerged natural vegetation on longitudinal mixing in open channel flow , 2010 .

[9]  Ryuta Terada,et al.  Spatial variations in nutrient supply to the red algae Eucheuma serra (J. Agardh) J. Agardh , 2010 .

[10]  B. Wadzuk,et al.  The effect of field conditions on low Reynolds number flow in a wetland. , 2009, Water research.

[11]  James E. Saiers,et al.  Advection, dispersion, and filtration of fine particles within emergent vegetation of the Florida Everglades , 2008 .

[12]  Yukie Tanino,et al.  Lateral dispersion in random cylinder arrays at high Reynolds number , 2008, Journal of Fluid Mechanics.

[13]  Yukie Tanino,et al.  Laboratory Investigation of Mean Drag in a Random Array of Rigid, Emergent Cylinders , 2008 .

[14]  Il Won Seo,et al.  Evaluation of Dispersion Coefficients in Meandering Channels from Transient Tracer Tests , 2006 .

[15]  Anne F. Lightbody,et al.  Prediction of near-field shear dispersion in an emergent canopy with heterogeneous morphology , 2006 .

[16]  Anne F. Lightbody,et al.  Prediction of velocity profiles and longitudinal dispersion in salt marsh vegetation , 2006 .

[17]  E. Murphy Longitudinal dispersion in vegetated flow , 2006 .

[18]  H. Nepf,et al.  Prediction of velocity profiles and longitudinal dispersion in emergent salt marsh vegetation , 2005 .

[19]  H. Fernando,et al.  Effects of emergent vegetation on lateral diffusion in wetlands. , 2004, Water research.

[20]  T. Asaeda,et al.  Growth performance of Phragmites australis in Japan: influence of geographic gradient , 2003 .

[21]  Heidi Nepf,et al.  Scalar transport in random cylinder arrays at moderate Reynolds number , 2003, Journal of Fluid Mechanics.

[22]  Ellen Wohl,et al.  PROCESSES GOVERNING HYDROCHORY ALONG RIVERS: HYDRAULICS, HYDROLOGY, AND DISPERSAL PHENOLOGY , 2002 .

[23]  Vladimir Nikora,et al.  Despiking Acoustic Doppler Velocimeter Data , 2002 .

[24]  Andy Shilton,et al.  Potential application of computational fluid dynamics to pond design , 2000 .

[25]  H. Nepf Reply [to “Comment on ‘Drag, turbulence, and diffusion in flow through emergent vegetation’ by H. M. Nepf”] , 2000 .

[26]  Comment on “Drag, turbulence, and diffusion in flow through emergent vegetation” by H. M. Nepf , 2000 .

[27]  H. Nepf Drag, turbulence, and diffusion in flow through emergent vegetation , 1999 .

[28]  J. A. Sullivan,et al.  A model for diffusion within emergent vegetation , 1997 .

[29]  Heidi Nepf,et al.  The Effects of Vegetation on Longitudinal Dispersion , 1997 .

[30]  Philip J. W. Roberts,et al.  Application of optical techniques to the study of plumes in stratified fluids , 1993 .

[31]  Anthony J. Jakeman,et al.  An instrumental variable method for model order identification , 1980, Autom..

[32]  H. Fischer Mixing in Inland and Coastal Waters , 1979 .

[33]  J. Teal,et al.  Production and Dynamics of Salt Marsh Vegetation and the Effects of Experimental Treatment with Sewage Sludge. Biomass, Production and Speies Composition , 1975 .

[34]  S. Ergun Fluid flow through packed columns , 1952 .