CIV E 530 - OPEN-CHANNEL HYDRAULICS
SPRING 2008
HOMEWORK No. 10


  1. You are observing the rise of a river during flood. The width of the river at the observation point, and for some distance upstream is 250 m, and according to the gage reading, the discharge is 600 m3/s. Estimate the discharge at a point located 20 km upstream, if the water surface is rising at the rate of 3 mm/hr at your location and at 5 mm/hr at the upstream cross section.

  2. A hydraulically wide channel is operating at Froude number F = 0.18. The unit-width discharge is 3.2 m2/s. What are the two [absolute] Lagrange celerities?

  3. Using the Muskingum method, route a flood wave with the following hourly ordinates (25), starting at time = 0, to time = 24 hr.

    100, 130, 150, 180, 220, 250, 300, 360, 450, 520, 600, 550, 490, 370, 330, 310, 280, 230, 170, 150, 130, 120, 110, 105, 100.

    Assume Δt = 1 hr, K = 1 hr, X = 0.3. Report the peak outflow and time of occurrence.

  4. Using the Muskingum-Cunge method, route a flood wave with the following hourly ordinates (25), starting at time = 0, to time = 24 hr:

    100, 130, 150, 180, 220, 250, 300, 360, 450, 520, 600, 550, 490, 370, 330, 310, 280, 230, 170, 150, 130, 120, 110, 105, 100.

    Qp = 600 m3/s

    Ap = 350 m2

    Tp= 85 m

    Δt = 1 hr.

    β = 1.65

    Δx = 9.8 km

    So = 0.0007

    Report the peak outflow and time of occurrence.