OUESTION $3$

$[20]$

$3\mathrm{.}1$ A $300mm$ diameter pipeline, $50km$ long connects two water reservoirs where the difference in surface levels is $60m.$ The Fanning friction factor is $0\mathrm{.}065$ and the dynamic viscosity of the water is $1{10}^{-3}Pa.s$ Ignoring all shock losses and calculate the quantity flowing between the reservoirs as well as the nature of the flow.

$3\mathrm{.}2$ Now taking the quantity flowing as $720$ litres per minute, determine the diameter of a similar pipeline $30km$ in length which is to be laid in parallel to the existing pipeline over the last $30km$ in order to increase the total discharge by $35\%.$ All other pipeline properties remain the same.

$10$