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Handbook of Turbomachinery Second Edition Revised - Ventech!

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pressure, inlet losses are usually on the order <strong>of</strong> 1–3% <strong>of</strong> the inlet total<br />

pressure. For turbines in engines, there is usually no real inlet, as they are<br />

closely coupled to the combustor or the preceding turbine stage. In this case,<br />

the duct losses are usually assessed to the upstream component.<br />

Stator Losses<br />

The stator losses arise primarily from friction within the vane row, the<br />

secondary flows caused by the flow turning, and exit losses due to blockage<br />

at the vane row trailing edge. The stator loss coefficient can be defined in<br />

several ways. Two popular definitions are<br />

or<br />

Dp 0 stator ¼ Ystator<br />

Dp 0 stator ¼ Ystator<br />

1<br />

2 rV2 1<br />

1<br />

2 r V2 0 þ V2 1<br />

2<br />

ð29Þ<br />

ð30Þ<br />

In either case, the loss coefficient is made up <strong>of</strong> the sum <strong>of</strong> coefficients for<br />

each loss contributor:<br />

Ystator ¼ Ypr<strong>of</strong>ile þ Ysecondary þ Ytrailing edge<br />

ð31Þ<br />

Pr<strong>of</strong>ile refers to frictional losses. There can be additional loss contributions<br />

due to incidence (the flow coming into the stator is not aligned with the<br />

leading edge), shock losses (when the stator exit velocity is supersonic), and<br />

others. Much work has been dedicated to determining the proper values for<br />

the coefficients, and several very satisfactory loss model systems have been<br />

developed. As loss models differ for axial-flow and radial-inflow turbines,<br />

these models will be discussed in the individual sections that follow.<br />

Rotor Losses<br />

Rotor losses are modeled in a manner similar to that for stators. However,<br />

the pressure loss is measured as a difference in relative total pressures and<br />

the kinetic energy is based on relative velocities. As with stators, the rotor<br />

loss is based on either the exit relative kinetic energy or the average <strong>of</strong> the<br />

inlet and exit relative kinetic energies:<br />

Dp 00<br />

rotor ¼ Xrotor<br />

Copyright © 2003 Marcel Dekker, Inc.<br />

1<br />

2 rW 2 2<br />

ð32Þ

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