Module Code: EN$23142$ Section A $-$ Hydraulics $1.$ Pipe flow A $150$ mm diameter galvanised iron pipe in normal condition $($k $=0\mathrm{.}15$ mm$)$ transfers $0\mathrm{.}020$ m$3/$s of water with a kinematic viscosity of $1\mathrm{.}14$ x $10-6$ m$2/$s over a length of $1\mathrm{.}8$ km$.$ Providing an answer to $3$ significant figures: $($a$)$ Apply Moody$$s Approximation to find a value of $$; $(2$ marks$)($b$)$ Substitute $$ from part $($a$)$ into the RHS of the C$-$W equation and recalculate $$ from the LHS of the C$-$W equation; $(3$ marks$)($c$)$ Determine the value of f using the Moody diagram from Massey $(2006)$ Mechanics of fluids $(8$th ed$.)$ and given that $=4$ f$,$ recalculate $(3$ marks$)($d$)$ Determine the head$-$loss due to friction in the pipe using table $5$ from HR Wallingford $(1990)$ Tables for the hydraulic design of pipes & sewers $(5$th ed$.)$ and substitute this value into the Darcy equation to calculate another value for $$; $(3$ marks$)($e$)$ Comment on the agreement of $$ found in parts $($a$),($b$),($c$)$ and $($d$)$ above.