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

1. (20%) You are observing the rising flood stage of a major river in a study reach AB of length L = 10 km. At your observation point at the downstream point B, the discharge is Q_B = 300 m³/s and the stage is rising at the rate of r_B = 3.2 mm/hr. The average surface width of the river in the study reach is W = 180 m. Estimate the present discharge at point A.

2. (20%) A hydraulically wide channel is operating at Froude number F = 0.18. The unit-width discharge is q = 2.25 m²/s. What are two Langrange absolute celerities?

3. (20%) An irrigation canal has a mean velocity u = 0.7 m/s, mean flow depth d = 1 m, and slope S = 0.005 m/m. Estimate the minimum time of gate opening T_o to minimize the possibility of a surge.

4. (20%) Teton Dam failed on June 5, 1975, in Idaho, releasing 2,000,000 cfs. At a distance of 100 miles downstream, the flow was estimated to be 50,000 cfs, that is, about 2.5% of the original dischatge. What type of wave was most likely acting? Kinematic, diffusion, or dynamic? Why?

5. (20%) Essay questions. Please answer the following:

   1. In what three ways is the Seddon celerity expressed?

   2. In what three ways is the hydraulic diffusity expressed?

   3. Under Chezy friction, for what value of Froude number do all waves (kinematic, diffusion, mixed kinematic-dynamic, and dynamic), travel at the same celerity? Under Manning friction?

   4. Under what five conditions do the debris flows recur at the foot of the San Gabriel Mountains, in Southern California? State them in order of occurrence.