Answer to Question #266940 in Civil and Environmental Engineering for regalo

Question

A concrete pipe of diameter 1 000 mm is laid at a slope of 1 in 100. Estimate the rate at which the water will run down the pipe so that it remains uniformly half full. Use C = 49 SI Units.

Answer 1

Half Full Circular concrete pipe-

Diameter (D) = 1000 mm = 1 m

Slope (S) = 1 in 100

Chezy's Constant (C) = 49

To Find-

The rate at which the water will run down the pipe (Q).

$Discharge(Q)=AC(RS)^{1/2}$

$A=\pi/4 (D)^2 =0.3927 m^2$

$C=49$

$R=\text{hydraulic mean depth} =A/P$

$P=perimeter=\pi D/2$

$R=A/P ——> =D/4$

$S=1/100$

Now,

$Q=0.3927\times49\times (1/4 \times 1/100)^{1/2}$

$Q=0.962m^3/s \space (\text{this is the final answer})$

The rate at which the water will run down the pipe (Q) = 0.962 m³/s