Acta Geophysica

, Volume 61, Issue 1, pp 194–210 | Cite as

Application of one-dimensional model to calculate water velocity distributions over elastic elements simulating Canadian waterweed plants (Elodea Canadensis)

  • Elżbieta KubrakEmail author
  • Janusz Kubrak
  • Paweł M. Rowiński
Research article


One-dimensional model for vertical profiles of longitudinal velocities in open-channel flows is verified against laboratory data obtained in an open channel with artificial plants. Those plants simulate Canadian waterweed which in nature usually forms dense stands that reach all the way to the water surface. The model works particularly well for densely spaced plants.

Key words

submerged flexible vegetation velocity profile openchannel flow Canadian waterweed 


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  1. Castro-Orgaz, O., and S. Dey (2011), Power-law velocity profile in turbulent boundary layers: An integral Reynolds-number dependent solution, Acta Geophys. 59,5, 993–1012, DOI: 10.2478/s11600-011-0025-1.CrossRefGoogle Scholar
  2. Defina, A., and A.Ch. Bixio (2005), Mean flow and turbulence in vegetated open channel flow, Water Resour. Res. 41,W07006, 1–12, DOI: 10.1029/2004WR003475.Google Scholar
  3. Erduran, K.S., and V. Kutija (2003), Quasi-three-dimensional numerical model for flow through flexible, rigid, submerged and non-submerged vegetation, J. Hydroinform. 05.3, 189–202.Google Scholar
  4. Huai, W.X., Y.H. Zeng, Z.G. Xu, and Z.H. Yang (2009), Three-layer model for vertical velocity distribution in open channel flow with submerged rigid vegetation, Adv. Water Resour. 32,4, 487–492, DOI: 10.1016/j.advwatres.2008.11.014.CrossRefGoogle Scholar
  5. Järvelä, J. (2002), Flow resistance of flexible and stiff vegetation: a flume study with natural plants, J. Hydrol. 269,1–2, 44–54, DOI: 10.1016/S0022-1694(02)00193-2.CrossRefGoogle Scholar
  6. Khublaryan, M.G., A.P. Frolov, and V.N. Zyryanov (2004), Modeling water flow in the presence of higher vegetation, Water Res. 31,6, 617–622, DOI: 10.1023/ Scholar
  7. Klopstra, D., H.J. Barneveld, J.M. Van Noortwijk, and E.H. Van Velzen (1997), Analytical model for hydraulic roughness of submerged vegetation. In: The 27th Congress of the International Association for Hydraulic Research, San Francisco, 1997; Proc. Theme A, Managing Water: Coping with Scarcity and Abundance, American Society of Civil Engineers (ASCE), New-York, 775–780.Google Scholar
  8. Kubrak, E. (2007), Distributions of water velocities in open-channels with stems simulating vegetation, Ph.D. Thesis, Faculty of Civil and Environmental Engineering, Warsaw University of Life Sciences, Warszawa, Poland (in Polish).Google Scholar
  9. Kubrak, E., J. Kubrak, and P.M. Rowiński (2008), Vertical velocity distributions through and above submerged, flexible vegetation, Hydrolog. Sci. J. 53,4, 905–920, DOI: 10.1623/hysj.53.4.905.CrossRefGoogle Scholar
  10. Kubrak, E., J. Kubrak, and P.M. Rowiński (2012), Influence of a method of evaluation of the curvature of flexible vegetation elements on vertical distributions of flow velocities, Acta Geophys. 60,4, 1098–1119, DOI: 10.2478/s11600-011-0077-2.CrossRefGoogle Scholar
  11. Kutija, V., and T.M.H. Hong (1996), A numerical model for assessing the additional resistance to flow introduced by flexible vegetation, J. Hydraul. Res. 34,1, 99–114, DOI: 10.1080/00221689609498766.CrossRefGoogle Scholar
  12. Meyer, Z. (2010), An analysis of the mechanism of flow in ice-covered rivers, Acta Geophys. 58,2, 337–355, DOI: 10.2478/s11600-009-0064-z.CrossRefGoogle Scholar
  13. Meyer, Z. (2011), Wind set-up of water level in a river, Acta Geophys. 59,2, 317–333, DOI: 10.2478/s11600-011-0005-5.CrossRefGoogle Scholar
  14. Neary, V.S. (2003), Numerical solution of fully-developed flow with vegetative resistance, J. Eng. Mech. 129,5, 558–563, DOI: 10.1061/(ASCE) 0733-9399(2003)129:5(558).CrossRefGoogle Scholar
  15. Podbielkowski, Z., and H. Tomaszewicz (1996), An Outline of Hydrobotanics, PWN, Warszawa, 531 pp. (in Polish).Google Scholar
  16. Righetti, M., and A. Armanini (2002), Flow resistance in open channel flows with sparsely distributed bushes, J. Hydrol. 269,1–2, 55–64, DOI: 10.1016/S0022-1694(02)00194-4.CrossRefGoogle Scholar
  17. Rowiński, P.M., and J. Kubrak (2002a), A mixing-length model for predicting vertical velocity distribution in flows through emergent vegetation, Hydrolog. Sci. J. 47,6, 893–904, DOI: 10.1080/02626660209492998.CrossRefGoogle Scholar
  18. Rowiński, P.M., and J. Kubrak (2002b), Velocity profiles on vegetated flood plains, Proc. Int. Conf. on Fluvial Hydraulics “River Flow 2002”, Louvain-la-Neuve, Belgium, 303–309.Google Scholar
  19. Shucksmith, J.D., J.B. Boxall, and I. Guymer (2010), Effects of emergent and submerged natural vegetation on longitudinal mixing in open channel flow, Water Resour. Res. 46, W04504, DOI: 10.1029/2008WR007657.CrossRefGoogle Scholar
  20. Wilson, C.A.M.E. (2007), Flow resistance models for flexible submerged vegetation., J. Hydrol. 342,3–4, 213–222, DOI: 10.1016/j.jhydrol.2007.04.022.CrossRefGoogle Scholar
  21. Wójtowicz A., E. Kubrak, and M. Krukowski (2010), Distributions of water velocities in open-channels with aquatic vegetation, Scientific Review Engineering and Environmental Sciences, Warsaw University of Life Sciences Press, Warszawa, Poland, 11–20 (in Polish).Google Scholar
  22. Yagci, O., U. Tschiesche, and M.S. Kabadsli (2010), The role of different forms of natural riparian vegetation on turbulence and kinetic energy characteristics, Adv. Water Resour. 33,5, 601–614, DOI: 10.1016/j.advwatres.2010.03.008.CrossRefGoogle Scholar
  23. Zhang, X., and H.M. Nepf (2009), Thermally driven exchange flow between open water and an aquatic canopy, J. Fluid Mech. 632, 227–243, DOI: 10.1017/S0022112009006491.CrossRefGoogle Scholar

Copyright information

© Versita Warsaw and Springer-Verlag Wien 2012

Authors and Affiliations

  • Elżbieta Kubrak
    • 1
    Email author
  • Janusz Kubrak
    • 1
  • Paweł M. Rowiński
    • 2
  1. 1.Faculty of Civil and Environmental EngineeringWarsaw University of Life SciencesWarszawaPoland
  2. 2.Institute of GeophysicsPolish Academy of SciencesWarszawaPoland

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