Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (9): 1121-1130.doi: https://doi.org/10.1007/s10483-009-0906-z

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Two-dimensional analytical solution for compound channel flows with vegetated floodplains

槐文信 高敏 曾玉红 李丹   

  1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, P. R. China
  • 收稿日期:2008-09-16 修回日期:2009-06-29 出版日期:2009-09-01 发布日期:2009-09-01

Two-dimensional analytical solution for compound channel flows with vegetated floodplains

HUAI Wen-Xin, GAO Min, ZENG Yu-Hong, LI Dan   

  1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, P. R. China
  • Received:2008-09-16 Revised:2009-06-29 Online:2009-09-01 Published:2009-09-01

摘要: This paper presents a two-dimensional analytical solution for compound channel flows with vegetated floodplains. The depth-integrated N-S equation is used for analyzing the steady uniform flow. The effects of the vegetation are considered as the drag force item. The secondary currents are also taken into account in the governing equations, and the preliminary estimation of the secondary current intensity coefficient K is discussed. The predicted results for the straight channels and the apex cross-section of meandering channels agree well with experimental data, which shows that the analytical model presented here can be applied to predict the flow in compound channels with vegetated floodplains.

关键词: compound channel, vegetation, drag force, secondary currents

Abstract: This paper presents a two-dimensional analytical solution for compound channel flows with vegetated floodplains. The depth-integrated N-S equation is used for analyzing the steady uniform flow. The effects of the vegetation are considered as the drag force item. The secondary currents are also taken into account in the governing equations, and the preliminary estimation of the secondary current intensity coefficient K is discussed. The predicted results for the straight channels and the apex cross-section of meandering channels agree well with experimental data, which shows that the analytical model presented here can be applied to predict the flow in compound channels with vegetated floodplains.

Key words: compound channel, vegetation, drag force, secondary currents

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