CE444-APPLIED HYDRAULICS
SPRING 2016
FINAL EXAM
FRIDAY, MAY 6, 2016, 1400-1600

Name: _________________________________ Red ID __________________________ Grade: __________

Instructions: Open book, open notes. Use engineering paper. When you are finished, staple your work in sequence (1 to 5), and return this sheet with your work.

  1. (20%) A 5-m high diversion dam is planned on a channel operating at critical flow. The channel is rectangular, with Q = 100 m3/s, bottom width b = 4.7 m, bottom slope So = 0.01, and Manning's n = 0.023. Calculate the length of the C1 water-surface profile. Compare with the results of onlinecalc.sdsu.edu/onlinewsprofiles31.php. Explain the difference, if any.

  2. (20%) A planned reservoir has a total capacity of 10 million cubic meters. The catchment drainage area is 200 km2. The mean annual runoff in the basin is 500 mm. The sediment yield is 1350 Metric tons/km2/yr. The specific weight of sediment deposits is estimated at 13000 N/m3. The sediments are coarse grained. How long will it take the reservoir to fill up to 80% and 100% of capacity? Use ten (10) increments of reservoir capacity.

  3. (20%) Calculate the diameter of a concrete culvert to pass the 50-yr flood, with Q50 = 320 cfs. The inlet invert elevation is z1 = 180 ft. The natural streambed slope is So = 0.01. The tailwater depth above the outlet invert is y2 = 4.2 ft. The culvert length is L = 250 ft. The roadway shoulder elevation is Es = 196 ft. Assume Ke = 0.5; KE = 1. Assume a 2-ft freeboard. Assume a circular concrete culvert (n = 0.013), and square edge with headwalls. With the given flow conditions, would there a hydraulic jump or drop at the outlet?

  4. (20%) What head ΔH (m) will be developed for an axial-flow pump of diameter D = 0.3 m operating at n = 900 rpm and discharging Q = 100 L/s? What power P (KW) will be required? The pump dimensionless performance curves are shown below.

  5. (20%) Given the system sketched below, what is the discharge Q (m3/s) and corresponding head H (m) at the system operating point? Assume very smooth entrance losses, and sharp exit losses. Assume Manning's n = 0.013. The performance curve of the pump is given by the following equation:

    H = 80 - 630 Q 2