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Handbook of Turbomachinery Second Edition Revised - Ventech!

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and pump flow derived from the engine balance, the pump specific speed can<br />

be forced to take on a range <strong>of</strong> ‘‘reasonable’’ values by solving Eq. (1) for<br />

the rotor speed, N. This ‘‘reasonable’’ range <strong>of</strong> specific speed might vary<br />

from 700 to 2,000, in rpm-gpm-ft units.<br />

In a typical application using a dense propellant (i.e., a propellant other<br />

than liquid hydrogen), the low end <strong>of</strong> the examined Ns range will bring about<br />

relatively low efficiency, relatively low operating speed, and relatively relaxed<br />

suction-performance requirements, as denoted by a relatively low value <strong>of</strong><br />

suction specific speed [computable using Eq. (12)]. Due to the low operating<br />

speed, the impeller tip diameter will be relatively large (to generate a fixed<br />

amount <strong>of</strong> total head), and the impeller exit axial width (the so-called ‘‘b2’’<br />

dimension) will be relatively small to maintain a fixed impeller outlet flow area.<br />

Although challenges regarding suction performance, rotor dynamics,<br />

seal durability, etc. can be alleviated by operating at reduced values <strong>of</strong> Ns,<br />

pumpweightisadverselyaffected.ReferringtoFig.15,wecannotethatasthe<br />

pump-stage specific speed is decreased, the increasing impeller outside<br />

diameter causes the discharge volute to occupy ever-increasing radii (with<br />

respect to the pump’s rotational axis). This results in the volute’s<br />

circumference increasing in proportion to its radius. Since the discharge<br />

volute must contain the pump’s total discharge pressure, the volute’s wall<br />

thickness (and thus its weight per linear in.) tends to be the greatest <strong>of</strong> the<br />

pump’s components. The end result <strong>of</strong> the decreasing specific speed trend is a<br />

propellant pump whose weight quickly exceeds the allowable. In addition, for<br />

closed-cycle engines (i.e., expander and staged combustion cycles), especially<br />

‘‘small’’ ones whose propellant flow rates are relatively low, pump specific<br />

speed values below approximately 500–700 Ns units may perform at isentropic<br />

efficiencies that are below values that may be required by the engine cycles.<br />

Examination <strong>of</strong> an increasing value <strong>of</strong> pump specific speed will show<br />

the following trends—if we refer to Fig. 15(d) we see that increasing pump<br />

Ns will yield an essentially monotonic (though not linear) trend <strong>of</strong> increasing<br />

efficiency. This is due primarily to the progressively more favorable flow<br />

passage geometry that increasing N s provides.<br />

The increasing values <strong>of</strong> pump Ns also result in decreased impeller<br />

diameter due to the higher rotating speeds involved. In all but the largest<br />

pumps, this trend tends to bring about decreased impeller weight. In<br />

addition, the decreased impeller diameter causes the discharge volute to be<br />

‘‘wrapped’’ around a smaller outer diameter. This decreases volute<br />

circumference and can (especially in high-pressure pumps) bring about<br />

fairly dramatic decreases in total pump weight.<br />

As we examine the effects <strong>of</strong> increasing pump N s, the pump’s suction<br />

specific speed value (Nss) must be tracked as well. Constraints regarding<br />

suction performance are most <strong>of</strong>ten the first fundamental constraint that<br />

Copyright © 2003 Marcel Dekker, Inc.

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