Analytical solutions for transverse distributions of stream-wise velocity in turbulent flow in rectangular channel with partial vegetation. (English) Zbl 1213.76103
Summary: The theory of poroelasticity is introduced to study the hydraulic properties of the steady uniform turbulent flow in a partially vegetated rectangular channel. Plants are assumed as immovable media. The resistance caused by vegetation is expressed by the theory of poroelasticity. Considering the influence of a secondary flow, the momentum equation can be simplified. The momentum equation is nondimensionalized to obtain a smooth solution for the lateral distribution of the longitudinal velocity. To verify the model, an acoustic Doppler velocimeter (ADV) is used to measure the velocity field in a rectangular open channel partially with emergent artificial rigid vegetation. Comparisons between the measured data and the computed results show that the method can predict the transverse distributions of stream-wise velocities in turbulent flows in a rectangular channel with partial vegetation.
MSC:
| 76F99 | Turbulence |
References:
| [1] | Cowna, W. L. Estimating hydraulic roughness coefficients. Agriculture Engineering, 37(7), 473–475 (1956) |
| [2] | Kouwen, N. and Unny, T. E. Flexible roughness in open channels. Journal of the Hydraulics Division, 99(5), 713–728 (1973) |
| [3] | Bennett, S. J., Pirim, T., and Barkdoll, B. D. Using simulated emergent vegetation to alter stream flow direction within a straight experimental channel. Geomorphology, 44(1–2), 115–126 (2002) · doi:10.1016/S0169-555X(01)00148-9 |
| [4] | Liu, C. and Shen, Y. M. Flow structure and sediment transport with impacts of aquatic vegetation. Journal of Hydrodynamics, Series B, 20(4), 461–468 (2008) · doi:10.1016/S1001-6058(08)60081-5 |
| [5] | Shimizu, Y., Tsujimoto, T., Nakagawa, H., and Kitamura, T. Experimental study on flow over rigid vegetation simulated by cylinders with equi-spacing (in Japanese). Proceedings of the Japan Society of Civil Engineers, 438, 31–40 (1991) |
| [6] | Stone, B. M. and Shen, H. T. Hydraulic resistance of flow in channels with cylindrical roughness. Journal of Hydraulic Engineering, 128(5), 500–506 (2002) · doi:10.1061/(ASCE)0733-9429(2002)128:5(500) |
| [7] | Tsujimoto, T. and Kitamura, T. Experimental Study on Open-Channel Flow with Vegetated Zone along Side Wall, KHL Progressive Report, Hydraulic Laboratory, Kanazawa University, Japan, 21–35 (1992) |
| [8] | Wang, C., Zhu, P., Wang, P. F., and Zhang, W. M. Effects of aquatic vegetation on flow in the Nansi Lake and its flow velocity modeling. Journal of Hydrodynamics, Series B, 18(6), 640–648 (2006) · doi:10.1016/S1001-6058(07)60002-X |
| [9] | Wu, F. C., Shen, H. W., and Chou, Y. J. Variation of roughness coefficients for unsubmerged and submerged vegetation. Journal of Hydraulic Engineering, 125(9), 934–942 (1999) · doi:10.1061/(ASCE)0733-9429(1999)125:9(934) |
| [10] | Yang, K. J., Liu, X. N., Cao, S. Y., and Zhang, Z. X. Turbulence characteristics of overbank flow in compound river channel with vegetated floodplain (in Chinese). Journal of Hydraulic Engineering, 36(10), 1263–1268 (2005) |
| [11] | Shiono, K. and Knight, D. W. Turbulent open channel flows with variable depth across the channel. Journal of Fluid Mechanics, 222(5), 617–646 (1991) · doi:10.1017/S0022112091001246 |
| [12] | Huai, W. X., Gao, M., Zeng, Y. H., and Li, D. Two-dimensional analytical solution for compound channel flows with vegetated floodplains. Applied Mathematics and Mechanics (English Edition), 30(9), 1121–1130 (2009) DOI 10.1007/s10483-009-0906-z · Zbl 1177.76170 · doi:10.1007/s10483-009-0906-z |
| [13] | Rameshwaran, P. and Shiono, K. Quasi two-dimensional model for straight overbank flows through emergent vegetation on floodplains. Journal of Hydraulic Research, 45(3), 302–315 (2007) · doi:10.1080/00221686.2007.9521765 |
| [14] | Tang, X. N. and Knight, D. W. Lateral distributions of streamwise velocity in compound channels with partially vegetated floodplains. Science in China, Series E: Technological Sciences, 52(11), 3357–3362 (2009) · Zbl 1422.86009 · doi:10.1007/s11431-009-0342-7 |
| [15] | Hsieh, P. C. and Shiu, Y. S. Analytical solutions for water flow passing over a vegetal area. Advances in Water Resources, 29(9), 1257–1266 (2006) · doi:10.1016/j.advwatres.2005.10.004 |
| [16] | Biot, M. A. Theory of propagation of elastic waves in a fluid saturated porous solid, I: low-frequency range. Journal of the Acoustical Society of America, 28(2), 168–178 (1956) · doi:10.1121/1.1908239 |
| [17] | Ervine, D. A., Babaeyan-Koopaei, K., and Sellin, R. H. J. Two-dimensional solution for straight and meandering overbank flows. Journal of Hydraulic Engineering, 126(9), 653–669 (2000) · doi:10.1061/(ASCE)0733-9429(2000)126:9(653) |
| [18] | Abril, J. B. and Knight, D. W. Stage-discharge prediction for rivers in flood applying a depthaveraged mode. Journal of Hydraulic Research, 42(6), 616–629 (2004) · doi:10.1080/00221686.2004.9628315 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
