Iranian Water Research Journal

Iranian Water Research Journal

Experimental Investigation of the Effect of Non-Submerged Rigid Vegetation in Floodplain of Rectangular Compound Channel on Friction Factors and Flow Force

Document Type : Original Article

Authors
1 Graduated of Hydraulic Structures, Department of Offshore Structures, Faculty of Marine Engineering, Khorramshahr University of Marine Science and Technology,Master Degree of Water Engineering and Hydraulic Structures, Responsible for the Measurement
2 Associate Professor, Department of Offshore Structures, Faculty of Marine Engineering, Khorramshahr University of Marine Science and Technology
Abstract
Introduction:
A compound channel is a channel that its cross-section has several sub-sections with different flow profiles and distinct characteristics such as roughness, depth, etc. A natural river that flows over the land on its banks during a flood is a simple example of a compound channel. Flooding accounts for approximately one-third of the financial losses associated with natural disasters worldwide and more than half of the fatalities from these disasters. This research was conducted to physically simulate rigid vegetation (made of PVC) in the floodplain of a compound channel and to investigate its effects on the drag coefficient, friction factor, and flow force ratio. The direct measurements carried out in this research were much more accurate than energy methods and conventional methods of force investigation which were discussed in previous researches. In energy methods, the force value usually differs from the actual values, due to existing errors. The errors were partially compensated by using direct measurement.This research led to development of experimental relationships through which the drag coefficient and friction factor were directly calculated based on the vegetation parameter.

Materials and Methods:
This research investigated the effect of vegetation cover on the flow force ratio, drag coefficient, and friction factor using physical modeling of the flow in a knife-edge hydraulic flume with a length of 14 meters, a width of 107 centimeters, and a longitudinal slope of 10-3The experimental setup was located in the Hydraulic and Sediment Laboratory of the Basic Studies Center for Khuzestan Water and Power Authority, Iran. Five diameters of vegetation cover (20, 25, 30, 40 and 50 mm) made of PVC were considered as rigid non-submerged vegetation covers. The height of this cover was determined to be non-submerged in all cases. In order to use these covers, plexiglass sheets with a length of 1 meter (the length of the knife edge part) and the width equal to that of the floodplain were installed in the flume, , according to different arrangement of vegetation cover and its placement within the flow. Five longitudinal distances (8, 10, 12, 15 and 20 cm), three transverse distances (6, 8 and 10 cm, and two types of arrangement (regular and irregular) were implemented to investigate different cases. Due to the different variables, the total number of runs in this study was 151 different experiments. In this study, for data analysis, a dimensionless parameter that included variables such as distances and number of vegetation, cross-section changes and depth difference between the main channel and floodplain (relative depth) was used as the vegetation parameter.

Results and Discussions:
The results of the experiments were presented in the form of various graphs which illustrated the changes in the flow force ratio, friction coefficient, and friction factor based on the vegetation parameter. The ratio of flow force in the case of vegetated conditions to the flow force without vegetation in all experimental conditions was graphed with respect to the vegetation parameter. An equation with a suitable correlation coefficient (R2=0.9198) was fitted to the data trend. According the results of this study, the decreasing trend of the drag coefficient with increasing vegetation parameter was clear. The main difference between the two arrengment types (regular and irregular) was the range of the drag coefficient. The changes in the drag coefficient in the range of 0-0.5 of the vegetation parameter were between 2 and 10, which was relatively higher compared with the regular vegetation arrangement. The drag coefficient obtained in this study was also compared with the results of research conducted by Tanino and Neff (2008) and Tinoco and Cowen (2013) and their equilibrium equations. It was revealed that the drag coefficient values in the current study had a relatively similar trend to the drag coefficient obtained from the force equilibrium equation, which indicated the suitability of the proposed method and equations for calculating the drag coefficient in the studied area. To investigate the effect of vegetation on changes in the total friction factor calculated based on presented equation, two graphs were presented for regular and irregular vegetation arrangements. Trend lines with relatively good correlation coefficients were also obtained. Accordingly, related equations were presented to calculate these parameters. Considering the change in the type of arrangement, a ratio between the drag coefficient and the vegetation parameter was also defined.

Conclusion:
In this study, the flow force was measured using the direct measurement method and the drag coefficient, and total friction factor were calculated through the provided equations and presented in different diagrams based on the vegetation parameter in the compound channel with the presence of vegetation in the floodplain. According to the results of the diagrams, it was determined that the flow force ratio had a decreasing trend with increasing vegetation parameter, which was consistent with the drag coefficient regardless of the type of arrangement. It is suggested that the investigation of non-rigid (flexible) vegetation cover in compound channels be conducted using this type of flume and measurement method, and the results be compared with other researches.
Keywords
Subjects

1-    Armanini,  A.,  Righetti,  M. and Grisenti,  P., 2005. Direct measurement of Vegetation Resistance in Prototype Scale.  Journal of Hydraulic Research, 43, pp.481-487.
 
2-    Choi, S.U. and Kang, H., 2004. Reynolds stress modeling of vegetated open-channel flows. Journal of Hydraulic. Research., 42(1), pp.3-11. https://doi.org/10.1080/00221686.2004.9641178.
 
3-    Defina, A. and Bixio, A.C., 2005. Mean flow and turbulence in vegetated open channel flow. Journal of Water Resource Research, 41, W07006. https://doi.org/10.1029/2004wr003475.
 
4-    Jia F., Han, Y., Wang, W., Li, J. and Du. J., 2025, Flow structure and spectral characteristics in regions with highly flexible vegetation , Journal of Hydrology, 2025, 660,133357. https://doi.org/10.1016/j.jhydrol.2025.133357.
 
5-    Ferreira, R.M.L., Ricardo, A.M. and Franca, M.J., 2009, Discussion of Laboratory investigation of mean drag in a random array of rigid, emergent cylinders by Yukie Tanino and Heidi M. Nepf. Journal of Hydraulic Engineering, 135(8), pp.690-693. https://doi.org/10.1061/(asce)hy.1943-7900.0000021.
 
6-    Hamidifar, H. and Omid, M. H., 2019. The effect of vegetation arrangement and interaction of the main canal and floodplain on changes in longitudinal diffusion coefficient in compound channel, Iranian Soil and Water Research, (2)51, pp.479-488. https://doi.org/10.1016/j.ecoleng.2015.09.048
 
7-     Hassani, M. and Tavakoli, F., 2020. Estimation of water level profile in compound channel despite vegetation cover in floodplain. Iranian Journal of Irrigation and Water Engineering, (3)11, pp.1-19. [InPersian]. https://doi.org/10.3390/w14233951
 
8-    Helmio, T., 2002. Unsteady 1D flow model of compound channel with vegetated floodplains. Journal of Hydrology, 269(1–2), pp.89-99. https://doi.org/10.1016/s0022-1694(02)00197-x
 
9-    James, C., Goldbeck, U., Patini, A. and Jordanova, A., 2008. Influence of foliage on flow resistance of emergent vegetation, Journal of Hydraulic Research, 46, pp.536-542. https://doi.org/10.3826/jhr.2008.3177
 
10-Jarvela, J., 2004. Determination of flow resistance caused by non submerged woody vegetation. International Journal of River Basin Management, 2,pp.61-70. https://doi.org/10.1080/15715124.2004.9635222
 
11-Kang, H. and Choi, S., 2006. Turbulence modelling of compound open-channel flows with and without vegetation on the floodplain using the Reynolds stress model. Advances in Water Resources, 29, pp.1650-1664. https://doi.org/10.1016/j.advwatres.2005.12.004
 
12-Kim, S. J. and Stoesser, T., 2011. Closure modeling and direct simulation of vegetation drag in flow through emergent vegetation. Journal of Water Resources Research, 47(10), W10511. https://doi.org/10.1029/2011wr010561.
 
13-Maturi, F., 2018. Investigation of the effect of non-submerged rigid vegetation on the transfer of motion size in a symmetric rectangular composite channel by direct measurement method. Khorramshahr University of Marine Sciences and Technology. Master Thesis, September [InPersian].
 
14-Maturi, F. and Behdarvandi Askar, M., 2019. Experimental Study of the  Effects of Flow Discharge, Diameter, and Depth on Shear Stress in a Rectangular Channel with Rigid Unsubmerged Vegetation. Journal of Applied Engineering Sciences, 9(22), pp.155-160https://doi.org/10.2478/jaes-2019-0021.
 
15-Maturi, F. and Behdarvandi Askar, M., Direct Measurement of the Effect of Non-Submerged Rigid Vegetation-Induced Flow Cross-Section Area Variations on Flow Force in Compound Channel, Flow Measurement and Instrumentation, 78,10185.https://doi.org/10.1016/j.flowmeasinst.2020.101884.
 
16-Maturi, F., Behdarvandi Askar M., Ansari Qojar., M. and Parsi, A., 2020. Laboratory study of the effect of non-submerged rigid vegetation on the transfer of motion size along the compound Channel by direct measurement method. Iranian Journal of Soil and Water Research, 52(2), pp.439-450. [InPersian] https://dx.doi.org/10.22059/ijswr.2021.313776.668803.
 
17-Maturi, F. and Behdarvandi Askar, M., 2021. Laboratory Investigation of the Effect of Flow Rate, Diameter and Flow Depth on Shear Stress in a Rectangular Channel with Non-Submerged Rigid Vegetation. 20th Iranian Hydraulic, Gorgan, [InPersian].
 
18-Naot, D., Nezu, I. and Nakagawa, H., 1996. Hydrodynamic behavior of partly vegetated open channels. Journal of Hydraulic Engineering, 122, 625-633. https://doi.org/10.1061/(asce)07339429(1996)122:11(625)
 
19-Schlichting,  H. and  Gersten,  K., 1968. Boundary-layer  Theory. 6th  Ed, McGraw-Hill, New York. p.307.
 
20-Sonnenwald, F.C, Stovin, V. and Guymer, I., 2018. Estimating drag coefficient for arrays of rigid cylinders representing emergent vegetation. Journal of Hydraulic Research. https://doi.org/10.1080/00221686.2018.1494050.
 
21- Stoesser, T., Kim S.J. and Diplas, P., 2010. Turbulent flow through idealized emergent vegetation, ASCE Journal of Hydraulic. Engineering, 136(12), pp.1003-1017, https://doi.org/10.1061/(asce)hy.19437900.0000153.
 
22-Sun, X., 2007. Flow characteristics in compound channels with and without vegetation, Ph.D. thesis, Civil Engineering Deparment, Loughborough University, UK. [Doctoral Thesis].
 
23-Tanino, Y. and Nepf, H.M., 2008. Laboratory investigation  of  mean  drag  in  a  random  array  of  rigid",  emergent cylinders. Journal of Hydraulic Engineering, 134(1), pp.34-41, https://doi.org/10.1061/(asce)07339429(2008).
 
24-Terrier, B., 2010. Flow characteristics in straight compound channels with vegetation along the main channel. Phd Thesis, Department of Civil Engineering, Loughborough University,UK, [Doctoral Thesis].
 
25-Tinoco, R.O. and Cowen, E.A., 2013. The direct and indirect measurement  of  boundary  stress and drag on individual and complex arrays of elements. Exp Fluids, 54, 1509, https://doi.org/10.1007/s00348-013-1509-3.
 
26-Tsujimoto, T., 1992. Spectral analysis of velocity and water surface fluctuations appearing in an open channel with vegetated and non vegetated regions in a crosssection. In Proceedings of the Sixth IAHR International Symposium on Stochastic Hydraulics, Taipei, pp.361-368.
 
27-Vojudi Mehrabani, F., Mohammadi, M. A. and Ayubzadeh, S. A., 2019. Hydraulic flow in composite canal with vegetation and converging floodplains. 18th Iranian Hydraulic Conference, Tehran [InPersian].
 
28-White, B. and Nepf, H. 2007. Shear instability and coherent structures in shallow flow adjacent to a porous layer. Journal of Fluid Mechanics, 593, pp.1-32, https://doi.org/10.1017/s0022112007008415.
 
29- Wu, W., Shields, F. D. Jr., Bennett, S. J. and Wang, S.S.Y., 2005. A depth averaged two-dimensional model for flow sediment transport and bed topography curved channels with riparian vegetation, Journal of Water Resource.research, 41, W03015, https://doi.org/10.1029/2004wr003730
 
Volume 20, Issue 2 - Serial Number 61
(Is completing ...)
Summer 2026
Pages 49-60

  • Receive Date 30 December 2025
  • Revise Date 02 February 2026
  • Accept Date 08 February 2026
  • Publish Date 22 June 2026