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Handbook of Turbomachinery Second Edition Revised - Ventech!

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approximately 35% each. Although the turbine efficiency is quoted at<br />

approximately 78%, there is evidence from various cold-flow component<br />

tests that the actual turbine aerodynamic efficiency is in fact in the mid-80s<br />

percent range. The observed efficiency penalty is primarily due to leakage<br />

flow through various seals and turbine coolant paths. These are accepted for<br />

the sake <strong>of</strong> improved packaging. Also, the lack <strong>of</strong> a turbine outlet pressure<br />

measurement in the flight hardware configuration makes determination <strong>of</strong><br />

actual turbine performance very difficult and subject to certain inferences.<br />

In the preceding discussions, it has been assumed that the turbine<br />

working fluid enters the rotating blade row around its entire circumference.<br />

With the bulk <strong>of</strong> rocket engine turbines, this is certainly the case. However,<br />

some low-power systems may have unique requirements. If the turbine<br />

power required is low enough, and the turbine working fluid specific energy<br />

is high enough in comparison, then the working fluid flow rate required<br />

becomes ‘‘small.’’ When this happens, the rotor annulus area becomes small,<br />

as determined by the equation <strong>of</strong> continuity. As a result, turbine blade<br />

heights can become quite small. When this occurs, the wetted areas <strong>of</strong> the<br />

hub and tip end walls can increase to the extent that boundary-layer losses<br />

on these end walls become a large fraction <strong>of</strong> total blade row losses. Also,<br />

fabrication limitations make it impossible to reduce blade tip-to-housing<br />

clearances below a certain absolute value. When blade tip clearances become<br />

a significant fraction <strong>of</strong> the blade height, excessive blade tip leakage can<br />

result. These two phenomena can bring about large decreases in turbine<br />

performance. In order to keep blade heights reasonable, the turbine inlet<br />

manifold can be arranged so as to limit the entry <strong>of</strong> working fluid to only a<br />

portion <strong>of</strong> the rotor circumference. This portion <strong>of</strong> the rotor into which<br />

drive fluid is entering is known as the arc <strong>of</strong> admission. A turbine operating<br />

with an arc <strong>of</strong> admission <strong>of</strong> less than 3608 is known as a partial-admission<br />

turbine. It is the task <strong>of</strong> the turbine designer to adjust both the arc <strong>of</strong><br />

admission and the rotor diameter such that the best compromise <strong>of</strong> all<br />

design factors is obtained, resulting in minimum losses and maximum<br />

efficiency. The design factors we refer to here include normal loss<br />

mechanisms, as well as some losses unique to the partial-admission scheme.<br />

We attempt to touch on the highlights <strong>of</strong> these partial-admission unique<br />

losses.<br />

It is this author’s impression that the losses unique to partialadmission<br />

turbines are not quantified particularly thoroughly in the<br />

literature, undoubtedly due to the complexity <strong>of</strong> the mechanisms involved.<br />

However, for the purposes <strong>of</strong> this discussion, these losses can be<br />

approximated as falling into two main categories. The first <strong>of</strong> these is<br />

what I refer to as the fill and drain loss. When two adjacent turbine blades<br />

are moving through an inactive portion <strong>of</strong> the nozzle arc, the intended<br />

Copyright © 2003 Marcel Dekker, Inc.

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