Jet Propulsion/Euler turbine equation

The energy added to a stream of fluid flowing through the blades in a blade row:

$(h_2 + u_2^2/2) - (h_1 + u_1^2/2)= \omega (r_2 v_2 - r_1 v_1)$

where

1 is upstream and 2 is downstream

ω is the rotor angular velocity

r is the distance from the axis of the stream tube upstream and downstream

v is the swirl (tangential) velocity component of the fluid velocity upstream and downstream

u (needs definition)