CIV E 530 - OPEN-CHANNEL HYDRAULICS

FALL 2011 - MIDTERM 2 - SOLUTION

PROBLEM 1

    • So = Sc F12

      F12 = So / Sc = 0.0025 / 0.0025 = 1

      F1 = 1   ANSWER.

    • F12 = v2/(gy1) = q2/(gy13) = 1

      y1 = (q2/g)1/3 = (22/9.81)1/3 = 0.741 m.    ANSWER.

    • v1 = q / y1 = 2 / 0.741 = 2.697 m/s    ANSWER.

    • Because the u/s flow is critical, the water-surface flow profile type is C1.    ANSWER.

    • So = Δy/Δx

      Δx = Δy / So = (y2 - y1) / So = (3.5 - 0.741) / 0.0025

      Δx = 1103.6 m.    ANSWER.

Problem 2

 
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