Problem XIV$-1$:

Suppose that three$-$identical single nozzle wheels are to be used operating under the same head of $400$ m $.$ The total flow rate is to be $1\mathrm{.}53\frac{m^3}{s}.$ Determine the required specific speed of these turbines, their pitch diameter, the jet diameter and efficiency considering an operating speed of $400$ rpm $.$ Let $C_v=0\mathrm{.}98$ and $=0\mathrm{.}45$ and $BP=5,103kW.$