# ?Water at 2 4 deg C drained from a storage reservoir ( ZA =

## Question:

?Water at $24\text{}\backslash $deg C drained from a storage reservoir $($ZA $=\text{}45$ ?m$)$ ?through a galvanized iron piping system $(\backslash $epsi $=\text{}0\mathrm{.}15$ ?mm$)$ ?as shown in the figure below. The piping system includes both $5-$cm$-$diameter and $3-$cm$-$diameter pipes. The extracted turbine head is $16$ ?m$.$ ?In this system, there is an unknown component as shown in the figure.

The total head loss in the piping system is $17$m: Assume that the density of water $\backslash $rho $=\text{}1000$ ?kg$/$m$3,$ ?gravitational constant g $=\text{}10$ ?m$/$s$2$ ?and dynamic viscosity of water is $\backslash $mu $=\text{}0\mathrm{.}001$ ?kg$/$m s$.$ ? i$)$ ?Determine the velocity of water $($VB$)$ ?that leaves the piping system at point B and the discharge rate of water from the reservoir.

VB $=$ ?Answer

?m$/$s

Mass flow rate $=$ ?Answer

?kg$/$s

ii$)$ ?If the turbine is connected to a generator with an overall turbine$-$generator efficiency of $83\%,$ ?determine the electric power output. Answer

? W

iii$)$ ?Determine the major head loss in the $3-$cm$-$diamater part of the piping system. Answer

? m

iv$)$ ?Based on your calculations, justify whether the unknown component in the piping system is a pump or a valve, and determine the minor losses.

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