QUESTION FOUR

A Venturi meter is used for measuring flow of water along a pipe. The diameter of the Venturi throat is two fifths the diameter of the pipe. The inlet and throat are connected by water filled tubes to a mercury U$-$tube manometer. The velocity of flow along the pipe is found to be $2\mathrm{.}5\sqrt[\phantom{2}]{H}\frac{m}{s},$ where H is the manometer reading in meters of mercury. when H is $0\mathrm{.}49$ m $.($Relative density of mercury is $13\mathrm{.}6).$ Compute the following;

a$.$ Inlet velocity $(u_1)$

$[2$ marks$]$

b$.$ Outlet velocity $(u_2)$

$[4$ marks$]$

c$.$ Loss of head between inlet and throat of the Venturi

$[14$ marks$]$