Euler turbine equation

By placing these relationships into the Euler turbine equation, the following relationship is obtained ... 

The Euler turbine equation previously defined holds for flow in any turbomaehine... 

To design a radial-inflow turbine of the highest effleieney, the exit veloeity leaving the turbine must be axial. If the exit veloeity is axial, the Euler turbine equation reduees to... 

Momentum equation for a caloricaly and thermally perfect gas, and one in which the radial and axial velocities do not contribute to the forces generated on the rotor the Adiabatic Energy (ifad) per unit mass is given as follows (Euler Turbine Equation) ... 

This is known as the Euler turbine equation, because it applies directly to turbines and all rotating fluid machinery. We will find it useful later in the analysis of the performance of centrifugal pumps. 

The turbine power can also be related to the flow properties using the first law of thermodynamics, Wy = ihAht — Q, defined as a function of the change of the fluid s total (or stagnation) enthalpy hi, and the rate of heat transfer to the flow Q. For a constant mass flow through the turbine, the total power per unit mass flow can be expressed as the Euler turbine equation ... 

The simple reaction turbine is analyzed most easily by the angular momentum balance, Eq. 7.65, which, as shown in Sec. 7.7 for a steady-flow turbine, reduces to Euler s turbine equation (Eq. 7.66). To find the power produced per unitjtime, we multiply both sides of Eq. 7.66 by -minus sign is used here tp agree with the thermodynamic sign convention that power... 

The power developed by the flow in an impulse turbine is given by the Euler equation... 

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