Find a discharge through a circular pipe of diameter 3 m, and pipe is laid at a slope of 1 in 1000 .Take value of Chezy's constant 70.

1. If the depth of the water in the pipe is 1 m.

2. If the depth of the water in the pipe is 2.5 m

Solution :

Given :

Diameter of pipe, $\quad D=3.0$

Radius, $\quad R=\frac{D}{2}=\frac{3.0}{2}=1.50 {~m}$

Bed slope, $\quad i=\frac{1}{1000}$

Chezy's constant, $\quad C=70$

1. Depth of water in pipe, d=1.0 m

From Figure, we have

$ \begin{aligned} O C &=O D-C D=R-1.0 \\ O C &=O D-C D=R-1.0 \\ &=1.5-1.0=0.5 {~m} \\ …