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Protection works are needed downstream of hydraulic structures for safety. They are designed primarily based on the shapes and sizes of scour holes. It is a fundamental to find the relationships among the characteristic factors of scour holes. Two types of sandy soils, including uniform and graded distributions, are used to simulate the bed material downstream of the weir phenomena due to free over‐fall flows. The experimental observations are compared with the theoretical results. It is found that all the shape factors, Cb, Cs and Ci are function of the Drop number Nd and the relative diameter G. It is shown that for the stable scour hole the characteristic coefficients of shape factors, Csb (=Cs -Cb )≥1, Cis (=Ci -Cs )≥1. Also, for the stable scour hole, the volume factor As ≥π/2. The results also indicate that the ratio of the length of the stable scour hole Li -Lb to the maximum scour depth ys varies from 2.5 to 5.0.
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