MOMENT MODEL OF NONUNIFORM CHANNEL-BEND FLOW. I: FIXED BEDS

MOMENT MODEL OF NONUNIFORM CHANNEL-BEND FLOW. I: FIXED BEDS
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非均匀弯道流的矩模型。

DOI:
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发表时间:
1993
期刊:
影响因子:
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通讯作者:
J. Kennedy
J. Kennedy
中科院分区:
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文献类型:
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作者:
K. Yeh;J. Kennedy

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将非均匀、固定边界、渠道弯曲流动表示为两组耦合方程,每组方程包括两个联立方程,分别由截面积分动量矩通量守恒方程(圆柱坐标)和深度积分动量和连续性方程导出。边界剪应力与主流剪应力以及一次和二次速度有关。对方程进行了数值求解,结果与实验数据吻合良好。该力矩公式阐明了二次流和一次流之间的相互作用,特别是观察到的一次速度剖面的平坦化、二次流的过冲、深度平均一次速度的径向重新分布以及二次平移速度。可侵蚀床的情况在配套文件中处理。
A nonuniform, fixed‐boundary, channel‐bend flow is formulated as two coupled sets of equations, each comprising two simultaneous equations, derived from the cross‐section‐integrated equations (in circular cylindrical coordinates) of conservation of flux of moment of momentum, and the depth‐integrated momentum and continuity equations. Boundary shear stresses are related to the primary‐flow shear stress and the primary and secondary velocities. The equations are solved numerically and the results found to be in satisfactory agreement with experimental data. The moment formulation elucidates the interplay among the secondary and primary flows, notably the observed flattening of primary velocity profiles, over‐shoot of the secondary flow, radial redistribution of the depth‐averaged primary velocity, and the secondary translational velocity. The erodible‐bed case is treated in the companion paper.