A “Standard Cross-Section” Method for the Calculation of Riverbed and Bank Shear Stresses

LUO You; ZHU Senlin; CAO Bing; JIANG Chenjuan

doi:10.21656/1000-0887.420048

Volume 42 Issue 9

Sep. 2021

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LUO You, ZHU Senlin, CAO Bing, JIANG Chenjuan. A “Standard Cross-Section” Method for the Calculation of Riverbed and Bank Shear Stresses[J]. Applied Mathematics and Mechanics, 2021, 42(9): 915-923. doi: 10.21656/1000-0887.420048

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A “Standard Cross-Section” Method for the Calculation of Riverbed and Bank Shear Stresses

doi: 10.21656/1000-0887.420048

1. College of Hydraulic Science and Engineering, Yangzhou University, Yangzhou, Jiangsu 225009, P.R.China;
2. Dongying Water Administration, Dongying, Shandong 257091, P.R.China

Received Date: 2021-02-22
Rev Recd Date: 2021-06-25

Available Online: 2021-09-29

Abstract

Abstract

Seeking for the “zero shear stress dividing line” and quantifying the apparent shear stress at the interface between adjacent sub-regions are 2 main methods to calculate the riverbed and bank shear stresses. To simplify the empirical expression for apparent shear stresses along the dividing line, a “momentum transfer-equilibrium deviation” (MTED) assumption that the apparent shear stress can be calculated based on the deviation of momentum transportation from its equilibrium value, was proposed. A “standard cross-section” concept was applied to determine the equilibrium value. All the rectangular and trapezoidal cross-sections can be correlated with certain standard cross-sections. Based on the MTED assumption and the concept of standard cross-sections, the empirical expressions for the apparent shear stresses along the dividing line and the bed and bank boundary shear stresses, were established. More than 200 data from different lab experiments were used to verify different methods. The results show that, the proposed method improves the calculation accuracy and can be applied to both rectangular and trapezoidal cross-sections, as well as to both smooth and rough channels.
- apparent shear stress,
- flow partitioning,
- riverbed resistance,
- river bank resistance,
- momentum transfer,
- roughness

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References

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