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平整输沙床面水流阻力研究

Research on the Flow Resistance of the Flat Bed Surface with Bedload Transport

  • 摘要: 水流阻力对于研究水流结构、推移质运动和输沙率等问题具有重要意义。影响水流阻力的因素有床面泥沙级配、水流条件、床面结构和推移质输沙率等,综合考虑床面泥沙条件、水流条件和推移质输移情况,将平整非均匀床面的水流阻力划分为沙粒阻力和输沙阻力。基于床面粗化过程中推移质输沙率的变化规律,将床面表层粗化程度系数表示为相对输沙率的函数,结合粗化完成床面和均匀床面的阻力公式,建立了包含床面结构参数的床面沙粒阻力公式。基于滚动和跃移推移质运动特性的差异,分析了滚动推移质在床面上的受力,得到了水流搬运滚动推移质消耗的能量,并与bagnold建立的计算公式进行对比,结合不同水流强度下滚动和跃移推移质的占比,建立了输沙阻力公式,由实测粗化床面资料确定了床面表层粗化程度系数,最终建立了适用于平整非均匀输沙床面的水流阻力计算公式。经实测资料验证并与其他学者的阻力计算公式进行分析对比,公式的均方根相对误差(RMSRE)仅为0.094,比其他学者阻力计算公式的相对误差值更小,表明该阻力计算公式具有更高的计算精度。

     

    Abstract: Flow resistance is of great significance to the study of flow structure, bedload movement and transport rate. The factors affecting the flow resistance include bed sediment gradation, flow condition, bed surface structure and bedload transport rate. Considering a synthesis of bed surface sediment condition, flow condition and bedload transport, the flow resistance of flat and non-uniform bed surface is divided into grain resistance and bedload transport resistance. Based on the variation of the bedload transport rate on the process of bed surface coarsening, the degree coefficient of bed surface coarsening is expressed as a function of the relative transport rate. Combined with resistance formula of uniform bed surface and non-uniform bed surface which has coarsened completely, this paper establishes the grain resistance formula of bed surface including the structural parameters. Based on the difference of mechanical characteristics of rolling and saltation bedload, the forces of rolling bedload on the bed surface are analyzed, and the energy consumption of rolling bedload carried by water is obtained, and compared with the calculation formula which is established by bagnold. The bedload transport resistance formula is established by combining the proportion of rolling and saltation bedload under different flow strengths. The coarsening coefficient of bed surface is determined from the measured coarsening surface data, and finally the calculating formula for flow resistance of the flat and non-uniform bed surface with bedload transportation is established. Verified by the measured data and compared with other scholars’ resistance calculation formulae, the root mean square relative error(RMSRE) of the formula is only 0.094, which is less than that of other scholars, indicating that the resistance calculation formula is highly accurate.

     

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