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Handbook of Turbomachinery Second Edition Revised - Ventech!

Handbook of Turbomachinery Second Edition Revised - Ventech!

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have seen that the flow rate through a positive displacement machine is a<br />

function only <strong>of</strong> the volumetric displacement and the operating speed.<br />

However, in the case <strong>of</strong> a variable speed pump, the flow rate processed<br />

through the pump also varies with the pressure-flow characteristics <strong>of</strong> the<br />

system that is downstream <strong>of</strong> the pump.<br />

A number <strong>of</strong> methods are commonly used to present various<br />

performance characteristics <strong>of</strong> variable displacement pumps. Perhaps the<br />

most common <strong>of</strong> these is the ‘‘head-capacity’’ curve, also referred to as the<br />

‘‘head-flow’’ curve or, simply, the ‘‘H–Q’’ curve. An example <strong>of</strong> such a curve<br />

is shown in Fig. 16. The curve’s vertical axis denotes the total head rise<br />

developed by the pump. The horizontal axis represents the pumped flow<br />

rate. Although the units <strong>of</strong> flow rate are customarily expressed in gal/min,<br />

any units are satisfactory as long as consistency is maintained. It can be seen<br />

that this curve has a generally negative slope. The pump developed head<br />

decreases below the design value for flow rates higher than design flow. At<br />

flow rates lower than design, the pump developed head is higher than the<br />

design value. It can be seen from the figure that at very low flow rates the H–<br />

Q characteristic ‘‘turns over’’ and becomes positive-sloped. Most real<br />

pumps, particularly those in liquid rocket engine systems, possess this type<br />

<strong>of</strong> characteristic. Some pumps that operate under particularly favorable<br />

Figure 16 Head-capacity performance curve for an ideal centrifugal pump stage.<br />

Copyright © 2003 Marcel Dekker, Inc.

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