Suppose that the trapezoidal channel of Fig. P10.17 contains sand and silt that we wish

Chapter 10, Problem p10.29

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Suppose that the trapezoidal channel of Fig. P10.17 contains sand and silt that we wish not to erode. According to an empirical correlation by A. Shields in 1936, the average wall shear stress crit required to erode sand particles of diameter dp is approximated by crit (s2)g dp < 0.5 where s < 2400 kg/m3 is the density of sand. If the slope of the channel in Fig. P10.17 is 1:900 and n < 0.014, determine the maximum water depth to keep from eroding particles of 1-mm diameter

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