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The structure of turbulent flow through submerged flexible vegetation

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Abstract

The hydrodynamics of turbulent flow through submerged flexible vegetation is investigated in a flume using acoustic Doppler velocimetery (ADV) measurements. The flow characteristics such as the energetics and momentum transfer derived from conventional spectral and quadrant analyses are considered as the flow encounters a finite vegetation patch. Consistent with numerous canopy flow experiments, a shear layer and coherent vortex structures near the canopy top emerge caused by Kelvin–Helmholtz instabilities after the flow equilibrates with the vegetated layer. These instabilities are commonly attributed to velocity differences between non-vegetated and vegetated canopy layers in agreement with numerous experiments and simulations conducted on dense rigid canopies. The power-spectral density function for vertical velocity turbulent fluctuations at different downstream positions starting from the edge of the vegetation layer are also computed. For a preset water depth, the dominant dimensionless frequency is found to be surprisingly invariant around 0.027 despite large differences in vegetation densities. The ejection and sweep events significantly contribute to the Reynolds stresses near the top of the vegetation. The momentum flux carried by ejections is larger than its counterpart carried by the sweeps above the canopy top. However, the momentum flux carried by sweeps is larger below the top of the canopy.

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References

  1. Richardson D., Holmes P., Esler K. et al. Riparian vegetation: Degradation, alien plant invasions, and restoration prospects [J]. Diversity and Distributions, 2010, 13(1): 126–139.

    Article  Google Scholar 

  2. Huang W., Yano S., Lin L. et al. Using functional indicators to assess the river health under partial flow restoration [C]. International Symposium on Water Resource and Environmental Protection, Xi’an, China, 2011.

    Google Scholar 

  3. Sun Z., Chang N. B., Opp C. et al. Evaluation of ecological restoration through vegetation patterns in the lower Tarim River, China with MODIS NDVI data [J]. Ecological Informatics, 2011, 6(2): 156–163.

    Article  Google Scholar 

  4. Dong Z. R. Scale and pattern for ecological restoration of river [J]. Journal of Hydraulic Engineering, 2006, 37(12): 1476–1481 (in Chinese).

    Google Scholar 

  5. Zhang H. B., Meng H. J., Liu X. D. et al. Vegetation characteristics and ecological restoration technology of typical degradation wetlands in the middle of Heihe River Basin, Zhangye City of Gansu Province [J]. Wetland Science, 2012, 10(2): 194–199 (in Chinese).

    Google Scholar 

  6. Aguiar F. C., Fernandes M. R., Ferreira M. T. et al. Riparian vegetation metrics as tools for guiding ecological restoration in riverscapes [J]. Knowledge and Management of Aquatic Ecosystems, 2011, 402: 251–264.

    Google Scholar 

  7. Dijkstra J., Uittenbogaard R., Modeling the interaction between flow and highly flexible aquatic vegetation [J]. Water Resources Research, 2010, 46(12): W12547.

    Article  Google Scholar 

  8. Etminan V., Lowe R. J., Ghisalberti M. A new model for predicting the drag exerted by vegetation canopies [J]. Water Resources Research, 2017, 53(4): 3179–3196.

    Article  Google Scholar 

  9. Konings A. G., Katul G. G., Thompson S. E. A phenomenological model for the flow resistance over submerged vegetation [J]. Water Resources Research, 2012, 48(2): W02522.

    Google Scholar 

  10. Abdelrhman M. A. Effect of eelgrass Zostera marina canopies on flow and transport [J]. Marine Ecology Progress Series, 2003, 248: 67–83.

    Article  Google Scholar 

  11. Abdelrhman M. A. Modeling coupling between eelgrass Zostera marina and water flow [J]. Marine Ecology Progress Series, 2007, 338(24): 81–96.

    Article  Google Scholar 

  12. Yang L. H., Zhuo L. H. Studies on purification ability of aquatic plants of the eutrophication water [J]. Journal of Jilin Agricultural University, 2006, 28(6): 663–666(in Chinese).

    Google Scholar 

  13. Vance C. P. Symbiotic nitrogen fixation and phosphorus acquisition. Plant nutrition in a world of declining renewable resources [J]. Plant Physiology, 2001, 127(2): 390–397.

    Article  Google Scholar 

  14. Chen G., Huai W. X., Zhao M. D. Flow structure in partially vegetated rectangular channels [J]. Journal of Hydrodynamics, 2010, 22(4): 590–597.

    Article  Google Scholar 

  15. Madsen J. D., Chambers P. A., James W. F. et al. The interaction between water movement, sediment dynamics and submersed macrophytes [J]. Hydrobiologia, 2001, 444(1-3): 71–84.

    Google Scholar 

  16. Morris E. P., Peralta G., Brun F. G. et al. Interaction between hydrodynamics and seagrass canopy structure: Spatially explicit effects on ammonium uptake rates [J]. Limnology and Oceanography, 2008, 53(4): 1531–1539.

    Article  Google Scholar 

  17. Nikora V., Wood P. J., Rice S. P. et al. Hydrodynamics of aquatic ecosystems: An interface between ecology, biomechanics and environmental fluid mechanics [J]. River Research and Applications, 2010, 26(4): 367–384.

    Article  Google Scholar 

  18. Li C. G., Xue W. Y., Huai W. X. Effect of vegetation on flow structure and dispersion in strongly curved channels [J]. Journal of Hydrodynamics, 2015, 27(2): 286–291.

    Article  Google Scholar 

  19. Shan Y. Q., Liu C., Luo M. K. et al. A simple method for estimating bed shear stress in smooth and vegetated compound channels [J]. Journal of Hydrodynamics, 2016, 28(3): 497–505.

    Google Scholar 

  20. Cionco R. M. A mathematical model for air flow in a vegetative canopy [J]. Journal of Applied Meteorology, 1965, 4(4): 15, 517–522.

    Article  Google Scholar 

  21. Inoue E. Studies of the phenonema of waving plants (“Honami”) caused by wind: Part 1. Mechanism and characteristics of waving plants [J]. Journal of Agricultural Meteorology (Tokyo), 1955, 11: 87–90(in Japanese).

    Article  Google Scholar 

  22. Cowan I. R.. Mass, heat and momentum exchange between stands of plants and their atmospheric environment [J]. Quarterly Journal of the Royal Meteorological Society, 1968, 94(402): 523–544.

    Article  Google Scholar 

  23. Landsberg J. J., Thom A. S. Aerodynamic properties of a plant of complex structure [J]. Quarterly Journal of the Royal Meteorological Society, 1971, 97(414): 565–570.

    Article  Google Scholar 

  24. Huai W. X., Chen Z. B., Han J. et al. Mathematical model for the flow with submerged and emerged rigid vegetation [J]. Journal of Hydrodynamics, 2009, 21(5): 722–729.

    Article  Google Scholar 

  25. Huai W. X., Xue W. Y., Qian Z. D. Large-eddy simulation of turbulent rectangular open-channel flow with an emergent rigid vegetation patch [J]. Advances in Water Resources, 2015, 80: 30–42.

    Article  Google Scholar 

  26. Huai W. X., Hu Y., Zeng Y. H. et al. Velocity distribution for open channel flows with suspended vegetation [J]. Advances in Water Resources, 2012, 49(8): 56–61.

    Article  Google Scholar 

  27. Wang C., Zhu P., Wang P. F. et al. Effect of aquatic vegetation on flow in the Nansi Lake and its flow velocity modeling [J]. Journal of Hydrodynamics, 2006, 18(6): 640–648.

    Article  Google Scholar 

  28. Wang X., Gao Q., Wang C. et al. Spatiotemporal patterns of vegetation phenology change and relationships with climate in the two transects of East China [J]. Global Ecology and Conservation, 2017, 10(C): 206–219.

    Google Scholar 

  29. Poggi D., Katul G., Albertson J. Momentum transfer and turbulent kinetic energy budgets within a dense model canopy [J]. Boundary-Layer Meteorology, 2004, 111(3): 589–614.

    Article  Google Scholar 

  30. Liu Z. W., Chen Y. C., Zhu D. J. et al. Vertical profile of horizontal velocity of flow through shrubs [J]. Journal of Hydroelectric Engineering, 2011, 30(6): 237–241 (in Chinese).

    Google Scholar 

  31. Raupach M. R., Thom A. S. Turbulence in and above plant canopies [J]. Annual Review of Fluid Mechanics, 1981, 13: 97–129.

    Article  MATH  Google Scholar 

  32. Finnigan J. Turbulence in plant canopies [J]. Annual Review of Fluid Mechanics, 2000, 32(1): 519–571.

    Article  MATH  Google Scholar 

  33. Poggi D., Katul G. G. Two-dimensional scalar spectra in the deeper layers of a dense and uniform model canopy [J]. Boundary-Layer Meteorology, 2006, 121(2): 267–281.

    Article  Google Scholar 

  34. Nepf H. M. Flow and transport in regions with aquatic vegetation [J]. Annual Review of Fluid Mechanics, 2012, 44: 123–142.

    Article  MathSciNet  MATH  Google Scholar 

  35. Tang H., Tian Z., Yan J. et al. Determining drag coefficients and their application in modelling of turbulent flow with submerged vegetation [J]. Advances in Water Resources, 2014, 69(3): 134–145.

    Article  Google Scholar 

  36. Wang W. J., Huai W. X., Thompson S. et al. Steady nonuniform shallow flow within emergent vegetation [J]. Water Resources Research, 2015, 51(12): 10047–10064.

    Article  Google Scholar 

  37. Yang K. J., Liu X. N., Cao S. Y. et al. Velocity distribution in compound channels with vegetated floodplains [J]. Journal of Hydraulic Engineering, 2006, 38(2): 246–250(in Chinese).

    Google Scholar 

  38. Wang H., Tang H. W., Yuan S. Y. et al. An experimental study of incipient bed shear stress partition in mobile bed channels filled with emergent rigid vegetation [J]. Science China Technological Sciences, 2014, 57(6): 1165–1174.

    Article  Google Scholar 

  39. Tang H. W., Lu S. Q., Long J. C. Settling velocity of coarse sediment particles in still water with rigid vegetation [J]. Journal of Hydraulic Engineering, 2007, (10): 1214–1220(in Chinese).

    Google Scholar 

  40. Tang H. W., Yan J., Xiao Y. et al. Manning’s roughness coefficient of vegetated channels. Journal of Hydraulic Engineering, 2007, 38(11): 1347–1353(in Chinese).

    Google Scholar 

  41. Wang C., Zheng S. S., Wang P. F. et al. Interactions between vegetation, water flow and sediment transport: A review [J]. Journal of Hydrodynamics, 2015, 27(1): 24–37.

    Article  Google Scholar 

  42. Liu C., Shan Y., Liu X. et al. The effect of floodplain grass on the flow characteristics of meandering compound channels [J]. Journal of Hydrology, 2016, 542: 1–17.

    Article  Google Scholar 

  43. Hsieh T. Resistance of cylindrical piers in open-channel flow [J]. Journal of the Hydraulics Division, 1964, 90(1): 161–173.

    Google Scholar 

  44. Li R. M., Shen H. W. Effect of tall vegetation on flow and sediment [J]. Journal of the Hydraulics Division, 1973, 99(5): 793–814.

    Google Scholar 

  45. Wu F. C., Shen H. W., Chou Y. J. Variation of roughness coefficients for unsubmerged and submerged vegetation [J]. Journal of Hydraulic Engineering, ASCE, 1999, 125(9): 934–942.

    Article  Google Scholar 

  46. Stephan U., Gutknecht D. Hydraulic resistance of submerged flexible vegetation [J]. Journal of Hydrology, 2002, 269(1): 27–43.

    Article  Google Scholar 

  47. Carollo F. G., Ferro V., Termini D. Flow resistance law in channels with flexible submerged vegetation [J]. Journal of Hydraulic Engineering, ASCE, 2005, 131(7): 554–564.

    Article  Google Scholar 

  48. Fathi-Moghadam M., Drikvandi K., Lashkarara B. et al. Determination of friction factor for rivers with nonsubmerged vegetation in banks and floodplains [J]. Scientific Research and Essays, 2011, 6(22): 4714–4719.

    Google Scholar 

  49. Ozan A. Y. Flow structure at the downstream of a one-line riparian emergent tree along the floodplain edge in a compound open-channel flow [J]. Journal of Hydrodynamics, 2018, 30(3): 470–480.

    Article  Google Scholar 

  50. Zhan J. M., Hu W. Q., Cai W. H. et al. Numerical simulation of flow through circular array of cylinders using porous media approach with non-constant local inertial resistance coefficient [J]. Journal of Hydrodynamics, 2017, 29(1): 168–171.

    Article  Google Scholar 

  51. Chen L. An integral approach for large deflection cantilever beams [J]. International Journal of Non-Linear Mechanics, 2010, 45(3): 301–305.

    Article  Google Scholar 

  52. Folkard A. M. Hydrodynamics of model Posidonia oceanica patches in shallow water [J]. Limnology and oceanography, 2005, 50(5): 1592–1600.

    Article  Google Scholar 

  53. Maltese A., Cox E., Folkard A. M. et al. Laboratory measurements of flow and turbulence in discontinuous distributions of ligulate seagrass [J]. Journal of Hydraulic Engineering, ASCE, 2007, 133(7): 750–760.

    Article  Google Scholar 

  54. Okamoto T. A., Nezu I. Spatial evolution of coherent motions in finite-length vegetation patch flow [J]. Environmental Fluid Mechanics, 2013, 13(5): 417–434.

    Article  Google Scholar 

  55. Pasche E., Rouvé G. Overbank flow with vegetatively roughened flood plains [J]. Journal of Hydraulic Engineering, ASCE, 1985, 111(9): 1262–1278.

    Article  Google Scholar 

  56. Dunn C. Experimental determination of drag coefficients in open channel with simulated vegetation [D]. Master Thesis, Urbana, IL, USA: University of Illinois at Urbana-Champaign, 1996.

    Google Scholar 

  57. Huai W. X., Wang W. J., Zeng Y. H. Two-layer model for open channel flow with submerged flexible vegetation [J]. Journal of Hydraulic Research, 2013, 51(6): 708–718.

    Article  Google Scholar 

  58. Huai W. X., Wang W. J., Hu Y. et al. Analytical model of the mean velocity distribution in an open channel with double-layered rigid vegetation [J]. Advances in Water Resources, 2014, 69: 106–113.

    Article  Google Scholar 

  59. Wang W. J., Peng W. Q., Huai W. X. et al. Roughness height of submerged vegetation in flow based on spatial structure [J]. Journal of Hydrodynamics, 2018, 30(4): 754–757.

    Article  Google Scholar 

  60. Kouwen N., Li R. M., Simons D. B. Flow resistance in vegetated waterways [J]. Transactions of the ASAE, 1981, 24(3): 684–690.

    Article  Google Scholar 

  61. Kouwen N.. Modern approach to design of grassed channels [J]. Journal of Irrigation and Drainage Engineering, 1992, 118(5): 733–743.

    Article  Google Scholar 

  62. Järvelä J. Flow resistance of flexible and stiff vegetation: A flume study with natural plants [J]. Journal of Hydrology, 2002, 269(1): 44–54.

    Article  Google Scholar 

  63. Ghisalberti M., Nepf H. M. Shallow flows over a permeable medium: the hydrodynamics of submerged aquatic canopies [J]. Transport in Porous Media, 2009, 78(2): 309–326.

    Article  Google Scholar 

  64. Righetti M. Flow analysis in a channel with flexible vegetation using double-averaging method [J]. Acta Geophysica, 2008, 56(3): 801–823.

    Article  Google Scholar 

  65. Nepf H. M., Vivoni E. R. Flow structure in depth-limited, vegetated flow [J]. Journal of Geophysical Research, 2000, 105(C12): 28547–28557.

    Google Scholar 

  66. Nepf H. M., Ghisalberti M. Flow and transport in channels with submerged vegetation [J]. Acta Geophysica, 2008, 56(3): 753–777.

    Article  Google Scholar 

  67. Zhang M., Shen Y. 3. Turbulent numerical simulation in compound open channel with vegetation [J]. Journal of Basic Science and Engineering, 2009, 17(3): 402–411.

    Google Scholar 

  68. Liu C., Shen Y. M. A three-dimensional solid-liquid two-phase turbulence model with the effect of vegetation in non-orthogonal curvilinear coordinates [J]. Science in China Series G: Physics, Mechanics and Astronomy, 2009, 52(7): 1062–1073.

    Google Scholar 

  69. Zhang M. L., Li C. W., Shen Y. M. A 3D non-linear–turbulent model for prediction of flow and mass transport in channel with vegetation [J]. Applied Mathematical Modelling, 2010, 34(4): 1021–1031.

    Article  MathSciNet  MATH  Google Scholar 

  70. Yang Z., Tang J., Shen Y. Numerical study for vegetation effects on coastal wave propagation by using nonlinear Boussinesq model [J]. Applied Ocean Research, 2018, 70: 32–40.

    Article  Google Scholar 

  71. Rowiński P. M., Kubrak J. A mixing-length model for predicting vertical velocity distribution in flows through emergent vegetation [J]. International Association of Scientific Hydrology Bulletin, 2002, 47(6): 893–904.

    Article  Google Scholar 

  72. Naot D., Nezu I., Nakagawa H. Hydrodynamic behavior of partly vegetated open channels [J]. Journal of Hydraulic Engineering, ASCE, 1996, 122(11): 625–633.

    Article  Google Scholar 

  73. Mattis S. A., Dawson C. N., Kees C. E. et al. Numerical modeling of drag for flow through vegetated domains and porous structures [J]. Advances in Water Resources, 2012, 39: 44–59.

    Article  Google Scholar 

  74. Zhang M., Qiao H., Xu Y. et al. Numerical study of wave–current–vegetation interaction in coastal waters [J]. Environmental Fluid Mechanics, 2016, 16(5): 1–17.

    Article  Google Scholar 

  75. Fischer-Antze T., Stoesser T., Bates P. et al. 3D numerical modelling of open-channel flow with submerged vegetation [J]. Journal of Hydraulic Research, 2001, 39(3): 303–310.

    Article  Google Scholar 

  76. Wang P. F., Wang C., Wang P. F. et al. Numerical model for flow through submerged vegetation regions in a shallow lake [J]. Journal of Hydrodynamics, 2011, 23(2): 170–178.

    Article  Google Scholar 

  77. Wang W. J., Huai W. X., Thompson S. et al. Drag coefficient estimation using flume experiments in shallow non-uniform water flow within emergent vegetation during rainfall [J]. Ecological Indicators, 2018, 92: 367–378.

    Article  Google Scholar 

  78. Kaimal J. C., Finnigan J. J. Atmospheric boundary layer flows: Their structure and measurement [M]. Bracknell, UK: Oxford University Press, 1994.

    Google Scholar 

  79. Ghisalberti M., Nepf H. The limited growth of vegetated shear layers [J]. Water Resources Research, 2004, 40(7): 196–212.

    Article  Google Scholar 

  80. Nezu I., Sanjou M. Turburence structure and coherent motion in vegetated canopy open-channel flows [J]. Journal of Hydro-Environment Research, 2008, 2(2): 62–90.

    Article  Google Scholar 

  81. Rominger J. T., Nepf H. M. Flow adjustment and interior flow associated with a rectangular porous obstruction [J]. Journal of Fluid Mechanics, 2011, 680: 636–659.

    Article  MATH  Google Scholar 

  82. Katul G. G., Goltz S. M., Hsieh C. I. et al. Estimation of surface heat and momentum fluxes using the flux-variance method above uniform and non-uniform terrain [J]. Boundary Layer Meteorology,, 1995, 74: 237–260.

    Article  Google Scholar 

  83. Katul G. G., Chu C. R. A theoretical and experimental investigation of the energy-containing scales in the dynamic sublayer of boundary-layer flows [J]. Boundary Layer Meteorology, 1998, 86: 279–312.

    Article  Google Scholar 

  84. White B. L., Nepf H. M. Shear instability and coherent structures in shallow flow adjacent to a porous layer [J]. Journal of Fluid Mechanics, 2007, 593: 1–32.

    Article  MATH  Google Scholar 

  85. Lu S. S., Willmarth W. W. Measurements of the structure of the Reynolds stress in a turbulent boundary layer [J]. Journal of Fluid Mechanics, 1973, 60: 481–511.

    Article  Google Scholar 

  86. Ghisalberti M., Nepf H. The structure of the shear layer in flows over rigid and flexible canopies [J]. Environmental Fluid Mechanics, 2006, 6(3): 277–301.

    Article  Google Scholar 

  87. Poggi D., Katul G., Albertson J. A note on the contribution of dispersive fluxes to momentum transfer within canopies [J]. Boundary Layer Meteorology, 2004, 111(3): 615–621.

    Article  Google Scholar 

  88. Katul G., Albertson J. Low dimensional turbulent transport mechanics near the forest-atmosphere interface [M]. New York, USA: Springer, 1999.

    Book  MATH  Google Scholar 

  89. Cheng Y., Li J. Introducing unsteady non-uniform source terms into the lattice Boltzmann model [J]. International Journal for Numerical Methods in Fluids, 2008, 56(6): 629–641.

    Article  MathSciNet  MATH  Google Scholar 

  90. Cheng Y. G., Suo L. S. Lattice boltzmann scheme to simulate two-dimensional fluid transients [J]. Journal of Hydrodynamics, 2003, 15(2): 19–23.

    Google Scholar 

  91. Lu J., Dai H. C. Numerical modeling of pollution transport in flexible vegetation [J]. Applied Mathematical Modelling, 2018, 64: 93–105.

    Article  MathSciNet  MATH  Google Scholar 

  92. Lu J., Dai H. C. Three dimensional numerical modeling of flows and scalar transport in a vegetated channel [J]. Journal of Hydro-environment Research, 2017, 16: 27–33.

    Article  Google Scholar 

  93. Lu J., Dai H. C. Effect of submerged vegetation on solute transport in an open channel using large eddy simulation [J]. Advances in Water Resources, 2016, 97: 87–99.

    Article  Google Scholar 

  94. Liu X., Huai W., Wang Y. et al. Evaluation of a random displacement model for predicting longitudinal dispersion in flow through suspended canopies [J]. Ecological Engineering, 2018, 116: 133–142.

    Article  Google Scholar 

  95. Liang D., Wu X. A random walk simulation of scalar mixing in flows through submerged vegetations [J]. Journal of Hydrodynamics, 2014, 26(3): 343–350.

    Article  MathSciNet  Google Scholar 

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Acknowledgements

This paper is an extended and systematic research based on previous work titled “Experimental study on turbulent flow in open channel with submerged flexible vegetation” that was presented at the Second Conference of Global Chinese Scholars on Hydrodynamics. The work was partly supported by the US National Science Foundation (Grant Nos. NSF-EAR-1344703, NSF-AGS-1644382 and NSF-IOS-1754893), the China Postdoctoral Science Foundation (Grant Nos. 2017M610949, 2018T110122) and the IWHR Research and Development Support Program (Grant No. WE0145B062019). We are particularly grateful to the Prof. Lian-di Zhou for his very helpful comments and suggestions on this paper.

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Correspondence to Gabriel G. Katul.

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Project supported by the National Natural Science Foundation of China (Grant Nos. 51439007, 11672213, 11872285 and 51809286).

Biography: Wen-xin Huai (1963-), Male, Ph. D., Professor

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Huai, Wx., Zhang, J., Katul, G.G. et al. The structure of turbulent flow through submerged flexible vegetation. J Hydrodyn 31, 274–292 (2019). https://doi.org/10.1007/s42241-019-0023-3

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