Question five

Water flows through a pipeline $1000$ m long between two reservoirs which have a difference in elevation of

the water surface of $60$ m $.$ At mid$-$point the pipe suddenly doubles from $200$ mm to $400$ mm in diameter.

The entrance and exit are both sudden. The friction factor for both pipes $f=0\mathrm{.}01.$

$(20$ marks$)$

a$)$ List the losses of head that occur, giving an expression for each.

b$)$ Calculate the discharge.