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.
- 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.
- 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.
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