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

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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.

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Correspondence to Wen-xin Huai  (槐文信).

Additional information

Communicated by Yu-lu LIU

Project supported by the National Natural Science Foundation of China (Nos. 50679061, 50709025, and 50749031)

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Huai, Wx., Gao, M., Zeng, Yh. et al. Two-dimensional analytical solution for compound channel flows with vegetated floodplains. Appl. Math. Mech.-Engl. Ed. 30, 1121–1130 (2009). https://doi.org/10.1007/s10483-009-0906-z

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  • DOI: https://doi.org/10.1007/s10483-009-0906-z

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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