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Handbook of Turbomachinery Second Edition Revised - Ventech!

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In addition to shaft seals, shaft bearing systems (also shown in Fig. 15)<br />

can present problems and constraints in regard to basic specific speed sizing.<br />

In particular, rolling element bearings (i.e., ball and roller bearings) are<br />

prone to difficulties in the environment presented by a liquid rocket engine<br />

system. Attempts to optimize pump specific speed by raising rotating speed<br />

typically raise the rotational speed <strong>of</strong> a rotating element bearing to a point<br />

where the internal bearing loading and heat generation become troublesome.<br />

In a liquid rocket engine system environment, suitable lubricant fluids<br />

are usually absent, and a ball or roller bearing is simply cooled using a<br />

metered amount <strong>of</strong> the pumped fluid. In all cases <strong>of</strong> which this author is<br />

aware, these fluids lack the viscosity required for formation <strong>of</strong> the typical<br />

EHD film that is considered necessary for ‘‘lubrication’’ in the normal sense.<br />

In addition, many <strong>of</strong> these fluids (liquid oxygen, for example) are chemically<br />

aggressive. For industrial-grade ball bearings, DN-values in excess <strong>of</strong><br />

500,000 (bearing ID in mm multiplied by operating speed in rev/min)<br />

degrade life noticeably. When proper lubrication is absent, prediction <strong>of</strong><br />

results before the fact becomes virtually impossible. Bearing DN-values <strong>of</strong><br />

1.6 million have been achieved using liquid oxygen as a coolant. In these<br />

cases, bearing lifetimes have proven spurious, unrepeatable, unpredictable,<br />

and sometimes less than a single required engine firing.<br />

The dynamics <strong>of</strong> an operating turbopump rotor may also limit the<br />

achievable pump specific speed. Although a detailed discussion <strong>of</strong> rotor<br />

dynamics is beyond the scope <strong>of</strong> this chapter, it should suffice to say that<br />

successful operation <strong>of</strong> a pump rotor at speeds substantially in excess <strong>of</strong> 1 or<br />

more critical speeds is highly dependent on the availability <strong>of</strong> adequate<br />

damping at bearings and seals to suppress resonances or oscillations at<br />

subsynchronous frequencies. This is <strong>of</strong>ten a problem in liquid hydrogen<br />

turbopumps due to the extremely high head rises involved.<br />

A relatively conservative design philosophy might set a propellant<br />

pump’s specific speed at 1,500 Ns units as a ‘‘first cut’’ for further evaluation.<br />

At this N s-value, an isentropic efficiency close to the maximum is usually<br />

attainable. In addition, suction performance, sealing, and fabrication<br />

difficulties are kept to a minimum. In the event that pump weight exceeds<br />

that allowable, Ns can be increased in an incremental fashion until the<br />

component’s weight requirement is met, or until another fundamental<br />

constraint becomes evident.<br />

Inlet Sizing<br />

When a workable Ns sizing has been achieved, sizing <strong>of</strong> the pump inlet is<br />

normally the next order <strong>of</strong> business. A centrifugal pump stage is normally<br />

sized to one <strong>of</strong> two criteria. The first is inlet sizing for maximum efficiency.<br />

Copyright © 2003 Marcel Dekker, Inc.

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