Q$3.(10$grades$)$ Solve the following questions :

A$.$ Oil with an absolute viscosity of $0\mathrm{.}15N.\frac{s}{m^2}$ and a density of $935k\frac{g}{m^3}$ is flowing in a $180mm$ diameter pipe at a $0\mathrm{.}5\frac{L}{s}$ flow rate.

The headloss per $300$ meter of pipe length is $q,$

The length of entrance for the fully developed flow to start is$...............$

B$.$ Water is flowing with a velocity of $3$ with a friction factor $f=0\mathrm{.}054,$ then:

The Reynolds no$.$ of the flow is$...$Re$......$ VD $C3\mathrm{.}5$ I$/$

For a losses per length of pipe $)=(0\mathrm{.}1\frac{m}{m},$ the diameter of the pipe is

$D=5{10}^{-2}$

C$.$ The power required per $km$ of a $5cm-$diameter pipe line to maintain a flow $150c\frac{m^3}{s}$ of an oil, $=1\mathrm{.}25N.\frac{S}{m^2}$ and specific gravity $=0\mathrm{.}8$ is $q,$

$P=x$

D$.$ A small$-$diameter, high pressure liquid jets can be used to cut various materials. If viscous effects are negligible, estimate the pressure at $(1)$ needed to produce a $0\mathrm{.}1-mm-$diameter water jet with a speed of $700\frac{m}{s}$ : $($assume V$1<mi>(</mi>$P$=$

$q,$ kPa

$$

$....$

E$.$ A straight horizontal pipe changes diameter from $15cm$ at inlet to $7\mathrm{.}5cm$ at outlet. If the water pressures are $52$ kilo pascals at inlet and $35$ kilo pascals at outlet. Find the flow rate of water $9810k\frac{N}{m^3}).$ Neglect friction loss.