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Handbook of Turbomachinery Second Edition Revised - Ventech!

Handbook of Turbomachinery Second Edition Revised - Ventech!

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the greatest demands on turbopump performance <strong>of</strong> all the classic engine<br />

cycles. The ‘‘stacking’’ <strong>of</strong> two or three relatively high-pressure drop items<br />

between the pump discharge and the main chamber (throttling valve,<br />

preburner injector, and turbine in this instance) gives rise to pump outlet<br />

pressure demands that are two to three times the main combustion chamber<br />

pressure. However, the mechanics <strong>of</strong> this cycle can also allow the turbine<br />

designer a latitude <strong>of</strong> design that is lacking in the closed engine cycles. Due<br />

to high pump outlet pressure requirements, high turbine blade speeds are<br />

generally specified. Also, since the turbine mass flow rates are higher than<br />

open-cycle engines (remember, most or all <strong>of</strong> the fuel is used for turbine<br />

drive), the enthalpy drop per pound <strong>of</strong> working fluid is smaller than in open<br />

cycles. The result <strong>of</strong> these factors is a stage velocity ratio that is generally the<br />

highest <strong>of</strong> the conventional engine cycles. An alternate way <strong>of</strong> looking at this<br />

is through the use <strong>of</strong> the speed-work parameter. This parameter is essentially<br />

the ratio <strong>of</strong> the blade speed squared to the actual enthalpy drop <strong>of</strong> the stage.<br />

As such, it constitutes a sort <strong>of</strong> energy ratio term, as opposed to the velocity<br />

ratio term we have used here.<br />

Regardless <strong>of</strong> which <strong>of</strong> these indices is used, the increased available<br />

turbine working fluid and the reduced specific work required (compared to<br />

an open cycle under the same conditions) result in the opportunity to unload<br />

the turbine stage significantly. This manifests itself in higher attainable stage<br />

velocity ratios. In the case <strong>of</strong> the Space Shuttle main engine, for instance, the<br />

turbines for both high-pressure turbopumps operate in the velocity ratio<br />

range<strong>of</strong>0.40–0.50.AsonecanseefromFig. 9,thisiswithintherangewhere<br />

reaction-type blading can be used to good advantage. Also, this range <strong>of</strong><br />

operation results in turbine nozzle spouting velocities that generally are<br />

subsonic through the machine’s operating range. This factor has the effect <strong>of</strong><br />

reducing the magnitude <strong>of</strong> the losses in the stage. These losses are due in<br />

part to nozzle expansion, blade inlet incidence, and kinetic energy losses<br />

traversing the blade row. These losses are proportional to the Mach number<br />

<strong>of</strong> the flow relative to the inlet <strong>of</strong> the rotating blade row. Lowering the blade<br />

inlet Mach number reduces these losses, contributing to higher stage<br />

efficiency. Also, subsonic blade inlet conditions permit the use <strong>of</strong> relatively<br />

generous radii on the blade leading edges. In supersonic stages, sharp inlets<br />

are generally considered necessary to minimize the effects <strong>of</strong> shock wave<br />

formation at the blade row inlet. These shock waves can restrict flow<br />

through the blade row, and adversely affect the stage performance. Larger<br />

radii are less sensitive than sharp-edged inlets to the effects <strong>of</strong> nonzero<br />

incidence. As a result, incidence losses can be minimized over a fairly wide<br />

flow range with a properly designed subsonic stage.<br />

The turbine that powers the high-pressure fuel turbopump <strong>of</strong> the<br />

SSME employs two reaction stages, with a degree <strong>of</strong> reaction <strong>of</strong><br />

Copyright © 2003 Marcel Dekker, Inc.

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