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5. NON-UNIFORM FLOW A reinforced concrete drainage 2 m x 2 m in size was constru

ID: 1765796 • Letter: 5

Question

5. NON-UNIFORM FLOW A reinforced concrete drainage 2 m x 2 m in size was constructed with a uniform slope of 2/1000. During the recent heavy downpour, the peakflow of the pipe drainage was 3 m'/s and the flow depths measured in two manholes were 0.90 m and 1.2 m, respectively. Assuming non-uniform steady flow and n 0.015, determine the following -velocity of flow at section 1, V -velocity of flow at section 2, V2 - slope of the energy line, S - distance between manholes, L -critical depth, yc - type of slope - water surface profile classification TOP VIEW Manhole 2 PROFILE VIEW Ground surface Channelx-section Y-0.90mWater surface Y2 1.2 m 2 m

Explanation / Answer

Velocity at section 1 = Discharge/ Area at section 1

= 3/ (2*0.9)

= 1.67m/s

Velocity at section 2 = Discharge/ Area at section

= 3/ (2*1.2)

= 1.25m/s

Critical depth = (q2 /g )1/3 q= discharge per unit width = 3/2 = 1.5m2/s

= (1.52 / 9.81)1/3

= 0.612 m

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