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8/13/2019 Hydraulics II
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Hydraulics II
Assignment II Page 1
HARAMAYA UNIVETITY
INSTITUTE OF TECNOLOGY
DEPARTMENT OF CIVIL AND URBAN ENGINEERING
1. A brick lined trapezoidal channel has side slopes of 1:1.5. It is required to carry
15m3/s of water. If the average velocity of flow is not to exceed 1 mls. Find.
(a ) the wetted perimeter for min: amount of lining ;
(b) bed slope assuming Manning's n = 0.015
2. Water is flowing in a rectangular channel with a velocity of10 ft/sec, depth of 10ft
and a width of l0ft. If there is a smooth upward step of2ft in the channel bed, what
expansion in width must simultaneously take place for the up-stream flow to be
possible as specified?
3. Calculate the critical depth and the corresponding specific energy for a discharge of5.0 m
3/sec in the following channels.
4. Calculate the critical depth and the corresponding specific energy for a discharge of5.0 m
3/sec in the following channels.
a) Rectangular channel, B = 2.0 m.
b) Triangular channel, m = 0.5. c) Trapezoidal channel, B = 2.0 m, m = 1.5.
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Hydraulics II
Assignment II Page 2
5. A rectangular channel is 4m wide and the depth of water is 2m. If the slope is 1 in 1000,
determine without changing the water level at the entrance:
(a) the maximum height of the hump;(b) the minimum width of the throat,
6. For a trapezoidal channel with base width b = 6.0 m and side slope m = 2, calculate the
critical depth of flow if Q = 17 m3/s.
7. Given a trapezoidal channel with a bottom width of 3m, side slope 1.5, a longitudinalslope of 0.0016 and estimated Mannings n of 0.13, find the normal depth of flow for adischarge of 7.1m3/s.
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a) The upstream depth and velocity areh1 = 1m andV1 = 10m/s. Use continuity andmomentumconservation(withnofriction)tocalculatethedownstreamdepthandvelocity,h2 andV2.b)Fortheseflowconditions,calculatetheheadlossandtherateofenergydissipationinthehydraulicjump.c)Ifflowdirectionwaschanged,i.e.,ifflowwasfromrighttoleft,andyouknewh2 andV2tohavethevaluesobtainedina,showthath1 andV1 wouldalsohavethesamevaluesasina.d) Now, for the reversed flow (flow fromright to left), what is the difference in total headbetween inflow and outflow? What is the rate of energy dissipation? What is wrong withthispicture?
Problem8Figurebelowshowsthephenomenonofhydraulicjumpinarectangularchannel,wherearatherabruptchangeoccursinthedepthoftheflow.
Figure: HydraulicjumpinProblem8.
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