How to solve

You should process your measured data as follows:

For each of the six runs, calculate the average flow rate, $Q_{\text{a}\text{c}\text{t}\text{u}\text{a}\text{l}\text{,}m},$ as:

$Q_{\text{a}\text{c}\text{t}\text{u}\text{a}\text{l}\text{,}m}=\frac{1}{4}{\displaystyle \underset{i=1}{\overset{4}{}}}\frac{A{A}_i}{t_i}$

where $A{A}_i$ is the volume of water collected within time period $t_i$;$i=1,2,3,4$ is the water collection

number; and $n=A,B,C,$dots,$L$ is the piezometer tube station.

The paired values of $A{A}_i$ and $t_i$ and the calculated $Q_{\text{a}\text{c}\text{t}\text{u}\text{a}\text{l}\text{,}m}$ can be recorded in Table $1.$

For each of the $11$ stations and each of the six runs, calculate the mean velocity, $V_{\text{a}\text{c}\text{t}\text{u}\text{a}\text{l},n,m},$ as:

$V_{\text{a}\text{c}\text{t}\text{u}\text{a}\text{l}\text{,},m,m}=\frac{Q_{\text{a}\text{c}\text{t}\text{u}\text{a}\text{l}\text{,}m}}{A_n}$

where $A_n$ is the cross$-$sectional area of the venturi tube at piezometer tube station $n.$

Record your calculated $V_{\text{a}\text{c}\text{t}\text{u}\text{a}\text{l}\text{,}n,m}$ in Table $2.$

For each of the $11$ stations and each of the six runs, use Eq$.(2)$ to calculate the ideal mean velocity,

$V_{\text{i}\text{d}\text{e}\text{a}\text{l}\text{,}n,m,},$ as:

$V_{\text{i}\text{d}\text{e}\text{a}\text{l}\text{,},m}=\sqrt[\phantom{2}]{2g(h_{1,m}-h_{n,m})+(V_{\text{a}\text{c}\text{t}\text{u}\text{a}\text{l}\text{,},m}{)}^2}$

where $h_{1,m}$ is the reading of piezometer tube A for run #$m$; and $V_{\text{a}\text{c}\text{t}\text{u}\text{a}\text{l}\text{,}1,m}$ is the actual mean velocity

at section $1($i$.$e$.,$ A$)$ for run #m$.$

Record your calculated $V_{\text{i}\text{d}\text{e}\text{a}\text{l}\text{,}n,m}$ in Table $2.$

Compare $V_{\text{a}\text{c}\text{t}\text{u}\text{a}\text{l}\text{,}n,m}(step2)$ and $V_{\text{i}\text{d}\text{e}\text{a}\text{l}\text{,}n,m}($step $3)$ that are recorded in Table $2.$

For each of the $11$ stations and each of the six runs, use Eq$.(8)$ to calculate the dimensionless

parameter $(R{h}_{\text{i}\text{d}\text{e}\text{a}\text{l}\text{,}n,m})$ in terms of the ideal pressure head, $h_{\text{i}\text{d}\text{e}\text{a}\text{l}\text{,}n,m},$ the reading of piezometer tube A $,$

$h_{1,m},$ and the actual mean velocity at throat section $2($i$.$e$.,$ D $),V_{\text{a}\text{c}\text{t}\text{u}\text{a}\text{l}\text{,}2,m},$ as:

$R{h}_{\text{i}\text{d}\text{e}\text{a}\text{l},n,m}=\frac{h_{\text{i}\text{d}\text{e}\text{a}\text{l},n,m}-h_{1,m}}{\frac{V_{\text{a}\text{c}\text{t}\text{u}\text{a}\text{l}\text{,}2,m}^2}{2}(g)}=[(\frac{A_2}{A_1}{)}^2-(\frac{A_2}{A_n}{)}^2]$

The calculations in this step can be carried out using Tables $2,3,$ and $4.$

For each of the $11$ stations and each of the six runs, calculate the dimensionless parameter

$(R{h}_{\text{a}\text{c}\text{t}\text{u}\text{a}\text{l}\text{,}n,m})$ in terms of the actual pressure head, $h_{n,m},$ the reading of piezometer tube $A,h_{1,m},$ and the

actual mean velocity at throat section $2($i$.$e$.,$ D