Friction factors may be determined using the Fanning equation, $(f=\frac{16}{R}),$ the Blasius equation, $(f=0\mathrm{.}046R{e}^{-0\mathrm{.}2})$ or the Haland equation, among others.

Haaland Equation:

$\frac{1}{\sqrt[\phantom{2}]{f}}=-3\mathrm{.}5lo{g}_{10}\{\frac{6\mathrm{.}9}{Re}+(\frac{}{3\mathrm{.}71}{)}^{1\mathrm{.}1}\}$

Outline the circumstances in which each equation is used. In each case, state whether the equation gives the Fanning Friction factor or the Moody Friction factor.

Water flows at $4m{s}^{-1}$ through $1650m$ of straight horizontal pipe that has $12$ bends, three fully opened gate valves and a fully opened globe valve. The pipeline diameter is $150mm$ and when the pipeline and all the fittings are considered together, the equivalent length is $2260m.$

Determine the total frictional losses associated with flow of water in the pipe. Estimate the friction factor using either the Fanning or Blasius equation from part $($b$)$ above. Take the viscosity of water as $1{10}^{-3}kg{m}^{-1}{s}^{-1}$ and the density as $1000kg{m}^{-3}.$