Hydraulic application, Darcy equation. use f$=0\mathrm{.}0214$ for calculations and use k$*$V$^2/2$g for accessories Minor and continuous losses

Water at $21C$ is transported from tank $A$ to $B.$ The required flow rate is $57\frac{l}{s},$ the outlet pipe from $tankA$ is connected perpendicular to the wall and flush with it$.$ There are: $2$ standard elbows $(90),$ a fully open gate valve and an orifice or diaphragm.

If it is assumed that it has a commercial diameter of only $200mm,$ what must be the value of the loss in the valve to achieve $57\frac{l}{s}?$

Gate valve fully open $k=0\mathrm{.}19$

Orifice. Ratio $2/3($Orifice diameter$/$pipe diameter$)$ k$=0\mathrm{.}40$

Cast iron pipe. Absolute roughness $0\mathrm{.}25mm$

Use the Darcy$-$Weisbach equation to calculate Continuous losses $($along ducts$).$ Use two methods to calculate $f($explained in class$)$