Euler’s Work Equation
Torque exerted by flow on blade row = shaft output torque
= Rate of change of Angular momentum of fluid =
kVjViVV rx ˆ
Define, L as Angular momentum
Angular momentum is moment of linear momentum of
angular velocity, V
For a steady flow through a turbomachine:
Inlet rate of angular momentum : 11rVm
Exit rate of angular momentum at exit: 22rVm
Change in Rate of angular momentum: 1122 rVmrVm
A change Whirl Velocity of fluid is only responsible for Power
Exchange between fluid and rotor in a turbo-machine !
This is known as Euler Turbo-machinery Equation.
First Law for Steady Flow Steady State Turbo Machine:
Avoid heat transfer across surface of a turbo-machine.
Conservation of Energy