Problem No$.2|||$ Practicing the effect of using different computational models

For $Q=800gpm$ and $T_1=70F$ and $T_2=150F$; Please, do the following:

Read the required NPSH at the specified flowrate, from the performance curve $($see the figure in CN$2$ Pumps Ideal $...,$ Slide No$.13).$

Get three different models of calculating the vapor pressure $(P_v)($M$1,$ M$2,$ and M$3).$

State the mathematical expression of each model.

Calculate $P_v$ using the three models and for $T_1=70F$ only.

Using the results of calculating $P_v$ at $T_1,$ determine the available NPSH for the following considerations:

a$.$ Only major losses

b$.$ Both minor and major $($i$.$e$.,$ total losses$)$

Complete Table $1.$

According to your yet obtained results, select the safest model $($you should justify your selection $($say why?$)),$ to calculate $P_v$ at $T_2.$

Calculate the available NPSH using $P_v$ at $T_2.$

Complete Table $2.$

Notes:

Show, fully, your work of calculating $P_v$ using all three models $($names of the input parameters and their units must be stated$)$

Please, use the following abbreviations to complete the tables below:

Only major losses $($MJL$)$ Total losses $($TL$)($major and minor$)$

Results: Safe operation $($SO$)$ or not safe operation $($NSP$)$

Table $2$: for the $T_1$ condition

$\backslash$table$[[,P_{v_{\text{@}{T}_1}},$TL$,$MJL$,NPS{H}_A,100**\frac{NPSH}{A}NPS{H}_R,$Results,Decision$],[$Model $1,,,,,,,],[$Model $1,,,,,,,],[$Model $2,,,,,,,],[$Model $2,,,,,,,],[$Model $3,,,,,,,],[$Model $3,,,,,,,]]$

Table $2$ for the $T_2$ condition

$\backslash$table$[[P_v$@$T_2,100**\frac{N_{PSH}^A}{N_{PSH}^R},$Results,Decision$],[,,,]]$