QUESTION $3(25$ Marks$)$

Water flows from one reservoir $A$ to another reservoir $B$ through a pipe of variable

diameter as shown in the figure below. Pipe AC is $40m$ long and $100mm$ in diameter

while pipe $CB$ is $60m$ long and $150mm$ in a diameter. Darcy's friction $f$ for both pipes

equals $0\mathrm{.}006.$ The gradual expansion at $C$ is at an angle of $10.$ The pipe entrance at $A$

and exit are sharp. Considering all losses,

$3\mathrm{.}1$ Determine the flow rate from reservoir $A$ to $B$ at the instant when the difference in

elevation is $20m.(20)$

$3\mathrm{.}2$ Plot the total energy line and the hydraulic grade line for the pipeline ACB at the

$$ame instance, indicating values$/$levels at all salient points. $(10)$