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Handbook of Turbomachinery Second Edition Revised - Ventech!

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As the name implies, axial thrust refers to forces acting on the rotor in<br />

a direction parallel to the axis <strong>of</strong> rotation. There are two main contexts for<br />

discussion <strong>of</strong> these forces. In the context <strong>of</strong> overall rotor design, the term<br />

‘‘axial thrust’’ is generally used to refer to the resultant <strong>of</strong> all axial forces<br />

acting on the rotating assembly. This resultant force is used to determine<br />

what type (if any) <strong>of</strong> axial thrust control devices are necessary. The type <strong>of</strong><br />

thrust control system used can also depend on the perceived uncertainty <strong>of</strong><br />

the axial thrust predictions. In some cases, the aerodynamic or hydraulic<br />

design <strong>of</strong> certain turbopump components may have to be altered due to<br />

axial thrust considerations. We discuss this later.<br />

The second context for discussion <strong>of</strong> axial forces concerns the<br />

structural design <strong>of</strong> rotor components when these components are<br />

considered as deformable bodies. For example, a turbopump drive shaft<br />

may be subjected to a net compressive load due to thrust forces from two<br />

opposing rotor components. The structural integrity and/or the stiffness <strong>of</strong><br />

the drive shaft may be questionable under these conditions. In the case <strong>of</strong> a<br />

built-up rotor (a configuration without a shaft proper and axially retained<br />

by a central draw bolt), the distribution <strong>of</strong> axial loads along the rotor may<br />

decide the fundamental orientation <strong>of</strong> turbopump components. An example<br />

<strong>of</strong> this might be orienting the turbine <strong>of</strong> a common shaft turbopump such<br />

that the tie bolt is subjected to tensile force rather than a compressive force<br />

that would be sufficient to relieve the draw bolt preload. Although most <strong>of</strong><br />

our discussion is oriented toward the first <strong>of</strong> these contexts, we attempt to<br />

carefully distinguish between them when necessary.<br />

The primary generators <strong>of</strong> axial loads on a turbopump rotor are the<br />

power-generating and absorbing components, namely turbine stages, axial<br />

and centrifugal pump stages, and pump inducers. We try to provide<br />

examples <strong>of</strong> each.<br />

Refer to Fig. 22. Depicted here is an example <strong>of</strong> asingle-stage turbine<br />

rotor. In this example, the turbine rotor is assumed to be supported on its<br />

own bearings, independent <strong>of</strong> any other rotating elements. The rotor shown<br />

in the figure represents a classic single-stage impulse turbine. Such an<br />

assembly could have been typical <strong>of</strong> small rocket turbopumps <strong>of</strong> the 1950s<br />

and early 1960s and might be found today in numerous small auxiliary<br />

power units. Note the stated flow conditions at various points in the turbine.<br />

Since the stage is an impulse stage, we may assume that there is no static<br />

pressure drop across the rotor. Therefore, Protorin ¼ Protorout (actually, a<br />

small static pressure drop would exist across the rotor, but we ignore this).<br />

Also, note the velocity diagrams showing the absolute and rotor-relative<br />

velocity components at the rotor inlet and exit. In a ‘‘perfect’’ rotor, the<br />

rotor-relative velocity at the stage outlet ðV2Þ would equal that at the rotor<br />

inlet ðV1Þ. However, in reality, the magnitude <strong>of</strong> V2 will be less than V1. This<br />

Copyright © 2003 Marcel Dekker, Inc.

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