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Fluid Mechanics Multiple Choice Questions on “Chezy’s Equation”.
1. Calculate the discharge through a channel having a bed slope 1 in 1000, area 12m2, hydraulic radius of 1.2m and Chezy’s constant being equal to 50.
a) 17.98 m3/s
b) 18.98 m3/s
c) 19.98 m3/s
d) 20.98 m3/s
Answer: d
Clarification:
2. What is the dimension of C?
a) LT
b) L1/2 T-1
c) LT-1
d) L-1 T-1
Answer: b
Clarification:
3. The depth and widths of a rectangular channel are 2m and 5m respectively, calculate the discharge of water through the channel if the bed slope is 1 in 500 and Chezy’s constant being 60.
a) 28.27 m3/s
b) 38.27 m3/s
c) 48.27 m3/s
d) 58.27 m3/s
Answer: a
Clarification:
4. Estimate the discharge of water through a triangular channel having depth 3m, side slope1H:2V, the bed slope is 1 in 500 and C=60.
a) 14.48 m3/s
b) 15.48 m3/s
c) 16.48 m3/s
d) 17.48 m3/s
Answer: c
5. The discharge of water through a trapezoidal channel is 1.5 m3/s, the base width of the channel is 7m, the depth is 2m and the side slope is 1H:3V. Bed slope is 1 in 2000, determine the value of the Chezy’s constant.
a) 50
b) 55
c) 60
d) 65
Answer: c
Clarification:
6. Find the discharge through a circular channel section having diameter of 5m, the value of Chezy’s constant is 90 and the bed slope is 1 in 4000.
a) 13.61 m3/s
b) 14.61 m3/s
c) 15.61 m3/s
d) 16.61 m3/s
Answer: c
Clarification:
7. The discharge through a rectangular channel is 16.62 m3/s and the wetted area is equal to 12m2. The width of the channel is 6m and the bed slope is 1 in 1000, calculate the value of the Chezy’s constant. 8. Calculate the discharge through a triangular channel having a normal depth of 4m, wetted area equalling to 8m2 and having side slope and bed slopes 1/2 and 1 in 500 respectively. C = 40. 9. The perimeter of a circular channel section is 18.84m, calculate the discharge through the channel when it is running full having a bed slope of 1 in 1500 and C = 60. 10. The discharge through a trapezoidal channel is 61 m3/s and the depth and widths of the channel are 4m and 5m respectively. The wetted perimeter of the channel is 13.16m, calculate the bed slope of the channel if the value of C is 45. 11. The velocity of flow through a channel is 0.74 m/s and the hydraulic radius of the channel is 1.11m, calculate the value of C if the bed slope of the channel is 1 in 5000. 12. Estimate the discharge through a channel having area 24m2 and perimeter 16m if the bed slope of the channel is equal to 1 in 1000 and C = 70.
a) 35
b) 40
c) 45
d) 50
Answer: b
Clarification:
a) 13.54 m3/s
b) 14.54 m3/s
c) 15.54 m3/s
d) 16.54 m3/s
Answer: a
Clarification:
a) 53.62 m3/s
b) 63.62 m3/s
c) 73.62 m3/s
d) 83.62 m3/s
Answer: a
Clarification:
a) 1 in 500
b) 1 in 1000
c) 1 in 1500
d) 1 in 2000
Answer: a
Clarification:
a) 40
b) 45
c) 50
d) 55
Answer: c
Clarification:
a) 62 m3/s
b) 63 m3/s
c) 64 m3/s
d) 65 m3/s
Answer: d
Clarification: