Citation: | Jaan Hui Pu, Awesar Hussain, Ya-kun Guo, Nikolaos Vardakastanis, Prashanth R. Hanmaiahgari, Dennis Lam. 2019: Submerged flexible vegetation impact on open channel flow velocity distribution: An analytical modelling study on drag and friction. Water Science and Engineering, 12(2): 121-128. doi: 10.1016/j.wse.2019.06.003 |
Ben Meftah, M., Mossa, M., 2013. Prediction of channel flow characteristics through square arrays of emergent cylinders. Physics of Fluids, 25(4), 045102. https://doi.org/10.1063/1.4802047.
|
Bootle, W.J., 1971. Forces on an inclined circular cylinder in supercritical flow. AIAA Journal, 9(3), 514–516. https://doi.org/10.2514/3.6213.
|
Chen, L., 2010. An integral approach for large deflection cantilever beams. International Journal of Non-Linear Mechanics, 45(3), 301-305. https://doi.org/10.1016/j.ijnonlinmec.2009.12.004.
|
Cheng, N., Nguyen, H., 2011. Hydraulic radius for evaluating resistance induced by simulated emergent vegetation in open-channel flows. Journal of Hydraulic Engineering, 137(9), 995-1004. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000377.
|
Coles, D., 1956. The law of the wake in the turbulent boundary layer. Journal of Fluid Mechanics, 1(2), 191–226. https://doi.org/10.1017/S0022112056000135.
|
Dijkstra, J.T., Uittenbogaard, R.E., 2010. Modeling the interaction between flow and highly flexible aquatic vegetation. Water Resources Research, 46(12), W12547. https://doi.org/10.1029/2010WR009246.
|
Han, L.J., Zeng, Y.H., Chen, L., Huai, W.X., 2016. Lateral velocity distribution in open channels with partially flexible submerged vegetation. Environmental Fluid Mechanics, 16(6), 1267-1282. https://doi.org/10.1007/s10652-016-9485-9.
|
Hu, Y., Huai, W.X., Han, J., 2013. Analytical solution for vertical profile of streamwise velocity in open-channel flow with submerged vegetation. Environmental Fluid Mechanics, 13(4), 389-402. https://doi.org/10.1007/s10652-013-9267-6.
|
Huai, W.X., Gao, M., Zeng, Y.H., Li, D., 2009. Two-dimensional analytical solution for compound channel flows with vegetated floodplains. Applied Mathematics and Mechanics, 30(9), 1121-1130. https://doi.org/10.1007/s10483-009-0906-z.
|
Huai, W.X., Wang, W.J., Zeng, Y.H., 2013. Two-layer model for open channel flow with submerged flexible vegetation. Journal of Hydraulic Research, 51(6), 708-718. https://doi.org/10.1080/00221686.2013.818585.
|
Ishikawa, Y., Mizuhara, K., Ashida, S., 2000. Effect of density of trees on drag exerted on trees in river channels. Journal of Forest Research, 5(4), 271-279. https://doi.org/10.1007/BF02767121.
|
Jarvela, J., 2004. Determination of flow resistance caused by non-submerged woody vegetation. International Journal of River Basin Management, 2(1), 61-70. https://doi.org/10.1080/15715124.2004.9635222.
|
Keulegan, G.H., 1938. Laws of turbulent flow in open channels. Journal of Research of the National Bureau of Standards, 21, 707–741
|
Kothyari, U., Hayashi, K., Hashimoto, H., 2009. Drag coefficient of unsubmerged rigid vegetation stems in open channel flows. Journal of Hydraulic Research, 47(6), 691-699. https://doi.org/10.3826/jhr.2009.3283.
|
Kouwen, N., Fathi-Moghadam, M., 2000. Friction factors for coniferous trees along rivers. Journal of Hydraulic Engineering, 126(10), 732-740. https://doi.org/10.1061/(ASCE)0733-9429(2000)126:10(732).
|
Kubrak, E., Kubrak, J., Rowinski, P.M., 2008. Vertical velocity distributions through and above submerged, flexible vegetation. Hydrological Sciences Journal, 53(4), 905-920. https://doi.org/10.1623/hysj.53.4.905.
|
Lassabatere, L., Pu, J.H., Bonakdari, H., Joannis, C., Larrarte, F., 2013. Analytical model for streamwise velocity profile in open channels. Journal of Hydraulic Engineering, 139(1), 37-43. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000609.
|
Liu, Z.W., Chen, Y.C., Zhu, D.J., Hui, E.Q., Jiang, C.B., 2012. Analytical model for vertical velocity profiles in flows with submerged shrub-like vegetation. Environmental Fluid Mechanics, 12(4), 341-346. https://doi.org/10.1007/s10652-012-9243-6.
|
Liu, Z.W., Chen, Y.C., Wu, Y.Y., Wang, W.Y., Li, L., 2017. Simulation of exchange ?ow between open water and ?oating vegetation using a modi?ed RNG k-ε turbulence model. Environmental Fluid Mechanics, 17(2), 355-372. https://doi.org/10.1007/s10652-016-9489-5.
|
Nepf, H.M., Vivoni, E.R., 1999. Turbulence structure in depth-limited vegetated flow: Transition between emergent and submerged regimes. In: Proceedings of the 28th International IAHR Conference. IAHR, Graz.
|
Nezu, I., Nakagawa, H., 1993. Turbulent Open-channel Flows, IAHR Monograph Series. IAHR, Rotterdam.
|
Pope, S.B., 2000. Turbulent Flows. Cambridge University Press, New York.
|
Pu, J.H., 2013. Universal velocity distribution for smooth and rough open channel flows. Journal of Applied Fluid Mechanics, 6(3), 413-423.
|
Pu, J.H., Hussain, K., Shao, S., Huang, Y., 2014a. Shallow sediment transport flow computation using time-varying sediment adaptation length. International Journal of Sediment Research, 29(2), 171-183. https://doi.org/10.1016/S1001-6279(14)60033-0.
|
Pu, J.H., Lim, S.Y., 2014. Efficient numerical computation and experimental study of temporally long equilibrium scour development around abutment. Environmental Fluid Mechanics, 14(1), 69-86. https://doi.org/10.1007/s10652-013-9286-3.
|
Pu, J.H., Shao, S., Huang, Y., 2014b. Numerical and experimental turbulence studies on shallow open channel flows. Journal of Hydro-environment Research, 8(1), 9-19. https://doi.org/10.1016/j.jher.2012.12.001.
|
Pu, J.H., 2015. Turbulence modelling of shallow water flows using Kolmogorov approach. Computers and Fluids, 115, 66-74. https://doi.org/10.1016/j.compfluid.2015.03.010.
|
Pu, J.H., Wei, J., Huang, Y., 2017. Velocity distribution and 3D turbulence characteristic analysis for flow over water-worked rough bed. Water, 9(9), 668. https://doi.org/10.3390/w9090668.
|
Pu, J.H., Tait, S., Guo, Y., Huang, Y., Hanmaiahgari, P.R., 2018. Dominant features in three-dimensional turbulence structure: Comparison of non-uniform accelerating and decelerating flows. Environmental Fluid Mechanics, 18(2), 395-416. https://doi.org/10.1007/s10652-017-9557-5.
|
Tanino, Y., Nepf, H.M., 2008. Lateral dispersion in random cylinder arrays at high Reynolds number. Journal of Fluid Mechanics, 600, 339-371. https://doi.org/10.1017/S0022112008000505.
|
Tsujimoto, T., Kitamura, T., 1990. Velocity profile of flow in vegetated-bed channels. In: KHL Progressive Report 1. Kazavava University, pp. 43-55.
|
Wu, F.C., Shen, H.W., Chou, Y.J., 1999. Variation of roughness coefficients for unsubmerged and submerged vegetation. Journal of Hydraulic Engineering, 125(9), 934-942. https://doi.org/10.1061/(ASCE)0733-9429(1999)125:9(934).
|
Yang, W., Choi, S.U., 2010. A two-layer approach for depth-limited open-channel flows with submerged vegetation. Journal of Hydraulic Research, 48(4), 466-475. https://doi.org/10.1080/00221686.2010.491649.
|