TASK $2$: $[$CO$2,$ PO$2$; C$5$; WP$1,$ WP$3,$ WP$4$; WK$2$&WK$3]$

You are required to perform the analyses on the self$-$priming centrifugal pump. During the performance analysis on this pump, the pump's required net positive suction head is provided as a curve fit: $NPS{H}_{\text{r}\text{e}\text{q}\text{u}\text{i}\text{r}\text{e}\text{d}}=2\mathrm{.}2m+(0\mathrm{.}0013\frac{m}{L}p{m}^2)Q^2,$ where the volume flow rate is in Lpm$.$

This design is proposed to pump the water from a reservoir whose surface is $2\mathrm{.}2m$ above the centerline of the pump inlet. The testing system consists of a smooth PVC pipe with an inner diameter of $24\mathrm{.}0mm$ and a pipe length of $2\mathrm{.}8m$ from the submerged pipe inlet to the pump inlet. Two minor components in the system include a sharp$-$edge reentrant inlet $)=(0\mathrm{.}85$ and a flanged smooth $90$ regular elbow $)=(0\mathrm{.}3.$

Your teams need to predict the maximum volume flow rate that can be pumped to make sure the cavitation does not occur during the pumping process. The detailed analysis of the cavitation performance region needs to be performed using Microsoft Excel.