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Handbook of Turbomachinery Second Edition Revised - Ventech!

Handbook of Turbomachinery Second Edition Revised - Ventech!

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emembered that the second (and any subsequent) rotor rows depend on<br />

upstream rotor exit swirl for work-generating capability. Under these<br />

conditions, downstream rotor rows will be relatively low work rotors. For<br />

example, in a typical two-row velocity-compounded design, a rotor work<br />

split <strong>of</strong> 70–30 or 75–25 might be considered typical.<br />

The staged combustion and expander cycles tend to place greater<br />

demands on turbine performance than the monopropellant or gas generator<br />

cycles. The performance <strong>of</strong> the gas generator cycle (a so-called open cycle by<br />

virtue <strong>of</strong> its atmospheric turbine exhaust) is relatively insensitive to turbine<br />

efficiency. However, the staged combustion and expander cycles (the socalled<br />

closed cycles) involve the turbine package quite intimately in the<br />

overall engine system. In this regard, the problems presented by the<br />

‘‘closed’’ rocket engine cycles are not unlike the turbine component<br />

matching problem in jet engine design. Not only must the turbine package<br />

be capable <strong>of</strong> sufficient component level efficiency, but it must be<br />

‘‘matched’’ to deliver this efficiency within the range <strong>of</strong> operation <strong>of</strong> the<br />

rocket engine system.<br />

The first production engine incorporating a closed cycle was the RL-10<br />

engine (also known as the Centaur engine for the stage that it powers)<br />

designed and built by the Pratt and Whitney Division <strong>of</strong> United<br />

Technologies. This engine operates on a classic version <strong>of</strong> the expander<br />

cycleandwasshownschematicallyinFig.4.Incidentally,thisenginehasthe<br />

honor <strong>of</strong> being the first production liquid-hydrogen-powered rocket engine<br />

in the world. As one can see from the figure, LH 2 is discharged from the fuel<br />

pump into the cooling circuit for the engine’s combustion chamber and<br />

nozzle. The flow <strong>of</strong> heat energy from the chamber’s combustion reaction is<br />

absorbed by the hydrogen, resulting in a substantial enthalpy increase (as<br />

well as a static pressure drop) at the exit from the cooling jacket. Now comes<br />

the tricky part. The enthalpy increase across the cooling jacket must be<br />

sufficient that the turbine enthalpy drop results in proper turbine<br />

performance with a turbine outlet pressure equal to the pressure required<br />

in the fuel manifold <strong>of</strong> the engine’s injector. This is probably easier to<br />

absorb by looking at the figure than by giving a verbose discussion.<br />

Since we try to minimize required pump discharge pressure in the<br />

closed engine cycles, the operating point <strong>of</strong> a typical expander cycle turbine<br />

will tend to be at a considerably higher velocity ratio than that <strong>of</strong> an opencycle<br />

engine. In the case <strong>of</strong> the RL-10 (circa 1970), the use <strong>of</strong> two turbine<br />

stages permitted astage velocity ratio <strong>of</strong> around 0.35. From Fig. 9, it can be<br />

seen that this value is near the optimum for an impulse stage. As a result, a<br />

turbine efficiency <strong>of</strong> almost 75% (total to static efficiency) was obtained. The<br />

relevant design conditions were a power output <strong>of</strong> approximately 660 hp at a<br />

shaft speed <strong>of</strong> 28,670 rpm with a blade pitchline velocity <strong>of</strong> approximately<br />

Copyright © 2003 Marcel Dekker, Inc.

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