Question $2$

A Kaplan turbine is designed with a power specific speed of $3\mathrm{.}0$ rad$/$s$,$ a runner tip diameter of $4\mathrm{.}4$ m and a hub diameter of $2$ m$,$ and operates with a net head of $20$ m and a shaft speed of $150$ rpm$.$ The absolute flow at runner exit is axial.

Assuming that the hydraulic efficiency is $90\%$ and the mechanical efficiency is $99\%,$ determine:

$1.$ The volume flow rate and shaft power output.

$2.$ The relative flow angles at the runner inlet and outlet at the hub, the mean radius and at the tip. Assume constant axial velocity and work distribution $($with radius$)$ and zero tangential velocity at runner exit.

Note: the power specific speed equation in this instance refers to the power delivered to the rotor $($P$)$ and the net head $($H$).$