Problem Ⅴ: The 56 years data on annual peak discharge at a USGS streamflow gauge
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Problem Ⅴ: The 56 years data on annual peak discharge at a USGS streamflow gauge are used
for flood frequency analysis. The mean and standard deviation of the original data are computed
to be
x 17,875 cfs
and Sx = 15,890 cfs, respectively. On the other hand, for the 10-based-log
transformed data, the mean, standard deviation, and skew coefficient are computed as
y 4.10 ,
Sy = 0.37, and G = -0.02, respectively. Determine the 100-year peak discharge by assuming a:
(1) Log-normal distribution
(2) Log-Pearson III distribution
(3) Gumbel distribution Problem Ⅵ: Figure 1 shows the dimensional performance curves of a pump with an impeller
size of 50 cm. The pump, which is installed at an elevation of 210 m and rotates at an angular
speed of 3600 rpm, is used to pump 20°C water (γ = 9.789 kN/m3
, pν = 2.34 kN/m2
abs, ν =
1.003×10-6 m2
/s) from a reservoir with a water surface elevation of 350 m to a reservoir with a
water surface elevation of 450 m through a 25-cm-diameter steel pipe. The pipe has a total length
of 610 m, of which 200 m is the suction line. The pipe has a Darcy-Weisbach friction factor of f =
0.015, an entrance loss coefficient of 0.5, and an exit loss coefficient of 1.0. Any other losses are
negligible. Figure 2 shows the specific speed curves for pump selection. For the pump, determine
the:
(1) Specific speed (ns) and type
(2) Operation point, efficiency, output power, brake power, and power transferred to water
(3) Coefficients of CH, CQ, and CP at the operation point
(4) Net positive suction head (NPSH) and cavitation number (σ) Problem Ⅶ: A 10-ft-wide rectangular channel (n = 0.013, S0 = 0.001) carries 30 cfs with a
water depth of 1.2 ft at its entrance.
(1) Classify the water surface profile
(2) Compute and sketch the water surface profile for a 50-ft-long segment from the entrance
