A closed conduit model of $(1)/(4)$ scale is constructed in the

laboratory. The prototype has a diameter, D$,$ of $100$ mm and a

length, L$,$ of $100$ m $.$

a$.$ Determine the discharge of the model, for a flow of $10$

m$^(3)*$s$^(-1)$ in the prototype.

b$.$ Determine the velocity of the flow in the model.

c$.$ Determine the regimes of the flow in the prototype and

model, respectively $($u$=2\mathrm{.}5*10^(-4)$m$^(2)*$s$^(-1)).$