Analytical approach for predicting local scour downstream of submerged sluice gate with an apron  

作　　者：Arsalan Mostaani Amir H.Azimi 

机构地区：[1]Department of Civil Engineering,Lakehead University,Thunder Bay,ON,P7B 5E1,Canada

出　　处：《International Journal of Sediment Research》2022年第4期522-537,共16页国际泥沙研究（英文版）

基　　金：supported by NSERC Discovery (Grant No. 421785)。

摘　　要：A new analytical method was evaluated for predicting scour profile downstream of a submerged sluice gate with an apron. The differential equations between bed Shear stress and Scour profile Curvature(SSC model) were utilized to predict the scour profile in both temporal and equilibrium stages. A jet momentum flux was considered as an external source of erosion on a hypothetical particle ring as the boundary between the flow and sediment bed. The scour length and sediment resistance factor were the two unknowns in the governing differential equations. Two solution strategies were introduced to provide a closed-form solution by using the prediction equations of maximum scour depth from the literature and by employing the von K arm an momentum integral equation. The first strategy was used to investigate the effect of jet angle of attack and the angle of the maximum scour slope on the prediction of scour profile. A sensitivity analysis was performed to determine an acceptable range for the maximum scour slope. The shear stress at the location of maximum scour was also estimated using the von K arm an momentum integral equation and the model was modified for erodible curved beds. The modified von K arm an equation was linked with SSC equations to predict the characteristic lengths of scour in temporal and equilibrium stages. Variations in bed shear stress at the location of maximum scour depth decreased non-linearly with time and reached the sediment critical shear stress at equilibrium. Four hydrodynamic regimes were classified to define the temporal variations of bed shear stress. The maximum error for prediction of scour profile with time occurred at the beginning of scour and the proposed model overestimated the maximum scour depth by 34.8% and underestimated the scour length by 7.6%.

关 键 词：Erosion SCOUR Turbulent wall jet Sediment transport Bed shear stress von Kármán momentum integral equation 

分 类 号：TV142[水利工程—水力学及河流动力学]