$6\mathrm{.}10$ Water $($viscosity v $=1\mathrm{.}005$ x $10-6$m$2/$s$)$ flows

through a $0\mathrm{.}4$m diameter pipeline with a mean

velocity of $3\mathrm{.}49$ m$/$s$.$ The surface roughness of the

pipe, k $=0\mathrm{.}15$mm$.($a$)$ Calculate $2$ using the

Moody approximation $($equation $(6\mathrm{.}20)).($b$)$ Calcu$-$

late $2$ using the Colebrook$-$White equation $(6\mathrm{.}18).$

$($c$)$ Using the Darcy equation $(6\mathrm{.}12)$ with the value

of $2$ from part $($b$),$ calculate the head loss caused

by friction per $100$m length of pipe. $($d$)$ Using

Fig. $6\mathrm{.}15$ find the hydraulic gradient $($friction loss$)$

per $100$m$.$

$[($a$)0\mathrm{.}0166$; $($b$)0\mathrm{.}0161$; $($c$)2\mathrm{.}499$m; $($d$)2\mathrm{.}5$m$]$