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Handbook of Turbomachinery Second Edition Revised - Ventech!

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normally be considered a very small space. This situation has intensified over<br />

the years, since the general desire has been to place an engine <strong>of</strong> a given thrust<br />

in a progressively smaller volume. One may also view this as continuing to<br />

increase the thrust <strong>of</strong> a constant volume engine. In any event, turbomachine<br />

designers are confronted with the problem <strong>of</strong> displacing ever-increasing<br />

quantities <strong>of</strong> propellant against increasing pressures within a volume that is<br />

decreasing. The specific problems inherent with these trends are covered in<br />

more detail in subsequent sections <strong>of</strong> this chapter.<br />

To illustrate on a semiquantitative basis the trends in machine design<br />

over the last 40 years, we consider some particular examples.<br />

In the early 1950s, the Army Ballistic Missile Agency (ABMA) called<br />

for the development <strong>of</strong> a 200-mile-range battlefield missile. This missile<br />

came to the be the Redstone. The vehicle was, in almost every respect, an<br />

Americanized V-2, including the use <strong>of</strong> liquid oxygen (LOX) and ethyl<br />

alcohol as propellants. The engine was required to generate 78,000 lb <strong>of</strong><br />

thrust at a chamber pressure <strong>of</strong> approximately 300 psia, or almost 50%<br />

greater than the V-2. To support the thrust chamber operation, the<br />

turbopump was required to move 150 lb/sec <strong>of</strong> ethyl alcohol fuel (1,190 gal/<br />

min) along with 205 lb/sec <strong>of</strong> LOX (1,290 gal/min). The head rises required<br />

<strong>of</strong> the fuel and oxidizer pumps were approximately 1,140 ft and 600 ft,<br />

respectively. Both pumps were arranged on a common shaft, which was<br />

driven at a rotational speed <strong>of</strong> 4,700–4,800 rpm. With efficiencies <strong>of</strong> both<br />

pumps on the order <strong>of</strong> 70%, approximately 740 hp <strong>of</strong> shaft power was<br />

required. The turbine configuration was a two-row velocity-compounded<br />

unit, also known as a Curtis staged turbine. Arranged in the middle <strong>of</strong> the<br />

turbopump shaft, the turbine’s pitch diameter was approximately 20 in. The<br />

drive fluid employed was decomposition products <strong>of</strong> concentrated hydrogen<br />

peroxide, again similar to its German counterpart. These products <strong>of</strong><br />

decomposition were ducted to the turbine inlet manifold at a total inlet<br />

pressure <strong>of</strong> slightly less than 400 psia at a temperature <strong>of</strong> nearly 700 8F. The<br />

turbine expanded the working fluid through a pressure ratio <strong>of</strong> 22, with the<br />

exhaust products leaving the turbine at just slightly higher than sea-level<br />

pressure. This pressure ratio is <strong>of</strong> the order <strong>of</strong> magnitude <strong>of</strong> the majority <strong>of</strong><br />

rocket engines that operate on the so-called gas generator cycle. These<br />

conditions provide high work per pound <strong>of</strong> turbine drive fluid, although<br />

extracting this energy efficiently is problematic, as evidenced by the unit’s<br />

efficiency <strong>of</strong> just under 40%.<br />

A rather useful (though not all-important) parameter by which rocket<br />

turbomachinery performance is gauged is by the use <strong>of</strong> a ‘‘power density’’<br />

term. This is simply the shaft power supplied by the turbopump per unit <strong>of</strong><br />

machine weight. In the case <strong>of</strong> the Redstone engine turbopump, this term<br />

computes to slightly over 2 hp/lb.<br />

Copyright © 2003 Marcel Dekker, Inc.

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