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

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

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

pipe, $k=0\mathrm{.}60mm.($a$)$ Calculate $$ using the

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

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

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

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

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

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

per $100m.$

$[($a$)0\mathrm{.}0227$; $($b$)0\mathrm{.}02188$ ; $($c$)3\mathrm{.}396m$; $($d$)3\mathrm{.}5m]$