CE444-APPLIED HYDRAULICS
FALL 2009
FINAL EXAM
MONDAY, DECEMBER 14, 2009, 0800-1000

Name: ______________________ Red ID __________________ Grade: _________

Instructions: Closed book, closed 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 planned reservoir has a total capacity of 5 million cubic meters (5 hm3). The catchment drainage area is 200 km2. The mean annual runoff in the basin is 500 mm. The sediment yield is 1,350 Metric tons/km2/yr. The specific weight of sediment deposits is estimated at 13,000 N/m3. The sediments are coarse grained. How long will it take the reservoir to fill up to 80% capacity? Use five increments of reservoir capacity (from 5 hm3 to 0 hm3).


  2. (20%) Calculate the diameter of a concrete culvert to pass the 50-yr flood, with Q50 = 265 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 250 ft. The roadway shoulder elevation is 196 ft. Assume a 2-ft freeboard. Assume a circular concrete culvert (f = 0.018, n = 0.012), and square edge with headwalls.


  3. (20%) Given Vo = 8 fps and VA = 12 fps at po = 20 psia, calculate the pressure coefficient Cp and the velocity Vo that will just begin to cause cavitation in the slot. Assume T = 70oF.


  4. (20%) Given the system shown below, what is the discharge Q (m3/s) and corresponding head H (m) at the system operating point? Assume sharp entrance and exit losses. Assume f = 0.018. The performance curve of the pump is given by: H = 60 - 600 Q2


  5. (20%) What head ΔH (m) will be developed for an axial-flow pump of 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.