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2d Uniform Flow Shear Stress From Reynolds and Continuity

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Bed shear stress in non-uniform flow

Environmental Fluid Mechanics volume 16,pages 777–792 (2016)Cite this article

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Abstract

Bed shear stress is an essential parameter in the description of flow motion and sediment transport. Several methods have been proposed to estimate bed shear stress under uniform flow conditions, yet few are applicable to non-uniform flow. A new approach is proposed to compute bed shear stress for non-uniform flow. This approach combines the Saint–Venant method, vertical two-dimensional numerical model and numerical differential method. The computed bed shear stress of this approach shows good consistency with Cardoso and Graf's measured data, with the maximum difference less than 14 %. The new approach is compared with Yang's method, and the maximum difference between these two methods is 25 %. This difference comes from the ignored term in Yang's derivation. By adding the ignored term, the maximum difference reduces to 8 %. This new approach is suitable to calculate bed shear stress in non-uniform flow.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant No. 51079014).

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Authors and Affiliations

  1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, 430072, Hubei, People's Republic of China

    Xiao-Feng Zhang, Wen-Ting Yang & Jun-Qiang Xia

Corresponding author

Correspondence to Wen-Ting Yang.

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Zhang, XF., Yang, WT. & Xia, JQ. Bed shear stress in non-uniform flow. Environ Fluid Mech 16, 777–792 (2016). https://doi.org/10.1007/s10652-016-9448-1

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  • DOI : https://doi.org/10.1007/s10652-016-9448-1

Keywords

  • Non-uniform flow
  • Bed shear stress
  • Numerical modeling
  • The Saint–Venant method

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