Section B $($Questions $4-6)$ USE A SECTION B ANSWER BOOKLET

$4.$ A manometer as shown in Figure $2.$ is used for measuring the water flow rate $($at $20,=1\mathrm{.}001$mPa$*s,=0\mathrm{.}998gc{m}^{-1})$ in the inclined tube. The manometer is filled with carbon tetrachloride $(CC{l}_6)$ with a density of $1\mathrm{.}594gc{m}^3.$ The internal diameter of the inclined tube is $D=5\mathrm{.}0mm.$ The water flowing in the tube is steady$-$state laminar flow and is incompressible. Gravitational acceleration is $g=9\mathrm{.}8m{s}^2.$

$($a$)$ Through an analysis of the momentum fluxes, establish a shell momentum balance equation.

$[5$ MARKS$]$

$($b$)$ From the results of $($a$),$ derive the velocity equation in terms of the variables of $h($CD$)$ the CCls level difference$)$ and $r($radius of the inclined tube$).$

$[10$ MARKS$]$

$($c$)$ Discuss the relationship between the flow rate, pressure drop and the angle $.$

$[4$ MARKS$]$

$($d$)$ Calculate the maximum velocity, the average velocity, and the flow rate in $kgh-$

$[6$ MARKS$]$