Question $3$

$(10$ marks$)$

A spun iron pipeline $200$ mm in diameter and $0\mathrm{.}3$ mm effective roughness is to be used to

convey oil of kinematic viscosity $7\mathrm{.}0{10}^{-5}\frac{m^2}{s}$ at a rate of $38\frac{l}{s}.$ Laboratory tests on a

$25$ mm pipeline conveying water at $20c$ with $v=1\mathrm{.}04{10}^{-6}\frac{m^2}{s}.$ Determine the water

velocity and discharge in the $25$ mm diameter pipe model.