Venturi with main and throat diameter of $25$ and $12\mathrm{.}5mm$ respectively was used for the measurement of water flowrate $($density of $1000k\frac{g}{m}3,$ viscosity of $1($cP$)$ installed $25$D upstream another validated Coriolis meter which transmit volumetric flowrate $(Q)$ of the fluid passing through the pipeline. Differential pressure transducer was installed at the inlet and throat of the Venturi to determine the pressure drop $($DP$)$ between the throat and inlet of the Venturi.

$($i$)$ With the aid of Continuity and Bernoulli's equation, derive the generic volumetric flowrate expression for the Venturi installed on the pipe section and

$($ii$)$ use information on table $2$ to determine the to complete the calibration of the installed Venturi.

$($iii$)$ Determine the Reynolds number of a fluid with DP of $63Pa$ using calibrated Venturi information.

Table $2$

$Q=cd{A}_2\sqrt[\phantom{2}]{\frac{2eP}{1-{}^4}}$

$\backslash$table$[[Q(k\frac{g}{s}),0\mathrm{.}00016,0\mathrm{.}00015,0\mathrm{.}000136,0\mathrm{.}000126,0\mathrm{.}0001],[DP(Pa),51\mathrm{.}03,45\mathrm{.}78,37\mathrm{.}6,31\mathrm{.}1,21\mathrm{.}56]]$