Skip to main content
Log in

Emergent vegetation flow with varying vertical porosity

  • Article
  • Published:
Journal of Hydrodynamics Aims and scope Submit manuscript

Abstract

The vertical distribution of an emergent vegetation in wetlands and marshes is generally non-uniform due to the variations of the stem thickness and the leaf density. This study focuses on the effect of the varying vertical porosity on the hydrodynamic characteristics of the emergent vegetation flow. The new governing equation for the emergent vegetation flow with varying vertical porosity is established by applying the poroelastic media flow theory. According to the movement mechanism of the water flow in the porous media and the experimental data, the best fitted expression of the permeability is established for the emergent vegetation flow. The velocity distribution is obtained with the finite analytic method. Then, a flume experiment is performed using truncated cones to simulate the actual vegetation with varying vertical porosity. The calculated velocity distribution is compared with the measured data, which shows that the theoretical results are in good agreement with the experimental data. Finally, the influence of the vertical porosity distribution on the vegetation flow characteristics is analyzed graphically. The study can provide a useful reference and technical support for further study of the flow with a complex shape vegetation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. 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 

  2. Zhao F, Mavrommatis A, Stamou A. et al. Experiments on characteristics of open-channel flow through submerged rigid vegetation with ball-like canopy [J]. Journal of Hydraulic Engineering, ASCE, 2018, 49(3): 353–361.

    Google Scholar 

  3. 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(3): 218–221.

    Article  Google Scholar 

  4. Choi S. U., Kang H. Reynolds stress modeling of vegetated open-channel flows [J]. Journal of Hydraulic Research, 2004, 42(1): 3–11.

    Article  Google Scholar 

  5. Kothyari U. C., Hayashi K., Hashimoto H. Drag coefficient of unsubmerged rigid vegetation stems in open channel flows [J]. Journal of Hydraulic Research, 2009, 47(6): 691–699.

    Article  Google Scholar 

  6. Stoesser T., Kim S. J., Diplas P. Turbulent flow through idealized emergent vegetation [J]. Journal of Hydraulic Engineering, ASCE, 2010, 136(12): 1003–1017.

    Article  Google Scholar 

  7. King A. T., Tinoco R. O., Cowen E. A. A k - ɛ turbulence model based on the scales of vertical shear and stems wakes valid for emergent and submerged vegetated flows [J]. Journal of Fluid Mechanics, 2012, 701: 1–39.

    Article  Google Scholar 

  8. Huai W. X., Han J., Geng C. et al. The mechanism of energy loss and transition in a flow with submerged vegetation [J]. Advances in Water Resources, 2010, 33(6): 635–639.

    Article  Google Scholar 

  9. Huai W., Wang W., 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(4): 106–113.

    Article  Google Scholar 

  10. Kim H. S., Nabi M., Kimura I. et al. Computational modeling of flow and morphodynamics through rigidemergent vegetation [J]. Advances in Water Resources, 2015, 84(2): 64–86.

    Article  Google Scholar 

  11. Ricardo A. M., Franca M. J., Rui M. L. F. Turbulent flows within random arrays of rigid and emergent cylinders with varying distribution [J]. Journal of Hydraulic Engineering, ASCE, 2016, 142(9): 04016022.

    Article  Google Scholar 

  12. Ricardo A. M., Carlo S. D., Franca M. J. et al. Vortex interaction in patches of randomly placed emergent cylinders [C]. Proceedings of River Flow, London, UK, 2014.

    Google Scholar 

  13. Ricardo A. M., Koll K., Franca M. J. et al. The terms of turbulent kinetic energy budget within random arrays of emergent cylinders [J]. Water Resources Research, 2014, 50(5): 4131–4148.

    Article  Google Scholar 

  14. Biot M. A. Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range [J]. The Journal of the Acoustical Society of America, 1956, 28(2): 168–178.

    Article  Google Scholar 

  15. Deresiewicz H., Skalak R. On uniqueness in dynamic poroelasticity [J]. Bulletin of the Seismological Society of America, 1963, 53(4): 783–788.

    Google Scholar 

  16. Yang W., Choi S. U. A two-layer approach for depthlimited open-channel flows with submerged vegetation [J]. Journal of Hydraulic Research, 2010, 48(4): 466–475.

    Article  Google Scholar 

  17. Lima P. H. S. D., Janzen J. G., Nepf H. M. Flow patterns around two neighboring patches of emergent vegetation and possible implications for deposition and vegetation growth [J]. Environmental Fluid Mechanics, 2015, 15(4): 881–898.

    Article  Google Scholar 

  18. Meire D. W. S. A., Kondziolka J. M., Nepf H. M. Interaction between neighboring vegetation patches: Impact on flow and deposition [J]. Water Resources Research, 2014, 50(5): 3809–3925.

    Article  Google Scholar 

  19. Yager E. M., Schmeekle M. W. The influence of vegetation on turbulence and bed load transport [J]. Journal of Geophysical Research Earth Surface, 2013, 118(3): 1585–1601.

    Article  Google Scholar 

  20. Huai W. X., Zeng Y. H., Xu Z. G. et al. Three-layer model for vertical velocity distribution in open channel flow with submerged rigid vegetation [J]. Advances in Water Resources, 2009, 32(4):487–492.

    Article  Google Scholar 

  21. 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  Google Scholar 

  22. Civan F. Scale effect on porosity and permeability: Kinetics, model, and correlation [J]. AIChE Journal, 2001, 47(2): 271–287.

    Article  Google Scholar 

  23. Costa A. Permeability-porosity relationship: A reexamination of the Kozeny-Carman equation based on a fractal pore-space geometry assumption [J]. Geophysical Research Letters, 2006, 33(2): 87–94.

    Article  Google Scholar 

  24. Xu P., Yu B. Developing a new form of permeability and Kozeny-Carman constant for homogeneous porous media by means of fractal geometry [J]. Advances in Water Resources, 2008, 31(1): 74–81.

    Article  Google Scholar 

  25. Nepf H. M., Sullivan J. A., Zavistoski R. A. A model for diffusion within emergent vegetation [J]. Limnology and Oceanography, 1997, 42(8): 1735–1745.

    Article  Google Scholar 

  26. Dorcheh. Effect of rigid vegetation on the velocity, turbulence, and wave structure in open channel flows [D]. Doctoral Thesis, Cardiff, UK: Cardiff University, 2007.

  27. Liu D., Diplas P., Fairbanks J. D. et al. An experimental study of flow through rigid vegetation [J]. Journal of Geophysical Research: Earth Surface, 2008, 113(F4): 347–365.

    Article  Google Scholar 

  28. Guo J., Zhang J. Velocity distributions in laminar and turbulent vegetated flows [J]. Journal of Hydraulic Research, 2016, 54(2): 117–130.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zi-long Fan  (范子龙).

Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 51479145).

Biography: Ming-deng Zhao (1963-), Male, Ph. D., Professor

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhao, Md., Fan, Zl. Emergent vegetation flow with varying vertical porosity. J Hydrodyn 31, 1043–1051 (2019). https://doi.org/10.1007/s42241-018-0083-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42241-018-0083-9

Key words

Navigation