CIV E 530 - OPEN-CHANNEL HYDRAULICS
SPRING 2013
LAB No. 7:  STEADY GRADUALLY VARIED FLOW I


Note: To save paper, summarize results of onlinewsprofilesxx. Do not include tabular output as part of your work.

  1. A perennial stream has the following properties:   discharge Q = 15 m3/s, bottom width b = 8 m, side slope z = 2, bottom slope So = 0.0025, and Manning's n = 0.035. A 2.0-m high diversion dam is planned on the stream to raise the head for an irrigation canal.

    • Calculate the normal depth.

    • Calculate the total length of the M1 water-surface profile. Use three resolutions: (a) n = 100 and m = 100, (b) n = 200 and m = 200, and (c) n = 400 and m = 400. Comment on the results.

    • Using the higher resolution results, calculate the partial length of the M1 profile, from the dam location to a point upstream where the normal depth is exceeded by 1%.

    Use ONLINE CHANNEL 01 and ONLINE WSPROFILES 21.

  2. An overflow spillway flows into a mild channel, producing a hydraulic jump. The channel is rectangular, with Q = 3.6 m3/s, bottom width b = 5 m, and Manning's n = 0.015. The flow depth at the toe of the spillway is 0.15 m and the approximate slope at the toe of the spillway is 0.1. The slope of the downstream mild channel, which functions as a stilling basin, is 0.00016. Use m = 100 and n = 100. Calculate:

    • the critical depth,

    • the length Ltc from the toe of the spillway to critical depth downstream,

    • the Froude number at the toe of the spillway,

    • the Froude number downstream of the hydraulic jump,

    • the sequent depth y2 (the normal depth downstream of the hydraulic jump),

    • the length Lj of the jump, assuming Lj = 6.2 y2

    • the minimum length of the stilling basin Lsb = Ltc + Lj

    What would be the length of the stilling basin if the bottom width were to be increased to 7 m?

    Use ONLINE CHANNEL 02 and ONLINE WSPROFILES 23. In the latter, use n = 100 and m = 100.