Question Two

$(35$ marks$)$

a hospital and a school. The hospital is located at $20$ masl and is connected to the reservoir

through a $1\mathrm{.}2km$ long, $250mm$ diameter pipeline, with a hydraulic gradient of $0\mathrm{.}005\frac{m}{m}.51$ ope,

The piping installed between the reservoir and the school consists of a $4\mathrm{.}2km$ long

pipeline. The school is located at an elevation of $30$ masl. For your analysis, you have been

provided with the Hazen $-$ Williams head loss formula $Q=0\mathrm{.}285C{D}^{2\mathrm{.}63}{S}^{0\mathrm{.}54}.$ Use $C=140$

for all pipes.

i$.$ Determine the flow and pressure head available at the hospital.

$(8$ marks$)$

ii$.$ If the same flow and pressure head values calculated in $($i$)$ above are to be made

available at the school, determine the size of the pipeline $($to the nearest $50mm)$

that should be connected from the reservoir to the school.

b$.$ Fig. $1$ shows a diurnal variation of water demand for a certain area. If the supply is kept

steady at $1000\frac{m^3}{h}r$ throughout the day, what reservoir capacity should the area have?

$1000mi$

$(21$ marks$)$