A horizontal pipe has a sudden contraction from DN$125$ to DN$80$ Schedule $40$ steel pipes. The water flows in the smaller pipe at $25C$ with a flowrate of $3020\frac{L}{m}in.$ The pressure in the larger section is $Pl=380$kPa. The minor loss coefficient, $k_L$ for the sudden contraction is given as $0\mathrm{.}15.$

a$)$ Illustrate the picture of the above problem. Determine the type of flow in the smaller and larger pipes.

$[10$ Marks$]$

b$)$ Determine the downstream pressure, P$2.$

$[7$ Marks$]$

c$)$ Calculate the percentage of error that would have occurred if downstream pressure, $P2$ calculated using Bernoulli's equation.

$[10$ Marks$]$

d$)$ State the reason for the pressure difference between Part $($b$)$ and Part $($c$).$ Attach all the tables, assumption and equations used in this problem

$[13$Marks$]$

e$)$ Determine the type of flow in both DN$125$ and DN$80$ pipe diameter.

$[10$Marks$]$