Q$1.$ A pipe joins two reservoirs whose head difference is $10m.$ The pipe is $0\mathrm{.}2m$ diameter,

$1000m$ in length and has a f value of $0\mathrm{.}008.$

a$)$ Determine type of flow in the pipe

b$)$ It is required to increase the flow to the downstream reservoir by $30\%.$ This is to be

done adding a second pipe of the same diameter that connects at some point along the

old pipe and runs down to the lower reservoir. Assuming the diameter and the friction

factor are the same as the old pipe, determine length of new pipe.