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The Art of the Helicopter John Watkinson - Karatunov.net

The Art of the Helicopter John Watkinson - Karatunov.net

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332 <strong>The</strong> <strong>Art</strong> <strong>of</strong> <strong>the</strong> <strong>Helicopter</strong><br />

Fig. 8.6 Maximum range speed. In still air this is found by a line from <strong>the</strong> origin tangent to <strong>the</strong> power curve.<br />

In <strong>the</strong> case <strong>of</strong> wind <strong>the</strong> origin is <strong>of</strong>fset by <strong>the</strong> windspeed.<br />

obtained by finding <strong>the</strong> airspeed at which <strong>the</strong> rate <strong>of</strong> power increase is exactly equal to<br />

<strong>the</strong> rate <strong>of</strong> airspeed increase. Figure 8.6 shows that this speed can be found graphically<br />

where a line from <strong>the</strong> origin is tangential to <strong>the</strong> power curve. <strong>The</strong> presence <strong>of</strong> wind<br />

changes <strong>the</strong> situation. In this case it is necessary to find <strong>the</strong> airspeed at which <strong>the</strong> rate<br />

<strong>of</strong> power increase is exactly <strong>the</strong> same as <strong>the</strong> rate <strong>of</strong> groundspeed increase. Figure 8.6<br />

shows that this can be found graphically by <strong>of</strong>fsetting <strong>the</strong> origin by an amount given by<br />

<strong>the</strong> component <strong>of</strong> wind velocity in <strong>the</strong> direction <strong>of</strong> flight. For a headwind, <strong>the</strong> maximum<br />

range speed will be faster than that needed for still air.<br />

<strong>The</strong>re is a fur<strong>the</strong>r complication in practice, because a real engine does not consume<br />

fuel proportionally to power produced. This is particularly true <strong>of</strong> turbine engines that<br />

sustain a loss <strong>of</strong> efficiency due to driving <strong>the</strong> compressor. This loss becomes a smaller<br />

proportion <strong>of</strong> total power as power produced increases and so it is a characteristic<br />

<strong>of</strong> a turbine that efficiency increases with power. Consequently <strong>the</strong> best range speed<br />

according to Figure 8.6 is not strictly correct for a turbine helicopter. To be precise, <strong>the</strong><br />

machine should be flown at <strong>the</strong> airspeed where <strong>the</strong> rate <strong>of</strong> fuel consumption increase is<br />

exactly <strong>the</strong> same as <strong>the</strong> rate <strong>of</strong> groundspeed increase. Figure 8.7 shows fuel consumption<br />

against power normalized at minimum power speed. At (a) is <strong>the</strong> curve for a turbine<br />

helicopter. This has <strong>the</strong> same trend as <strong>the</strong> power curve that is also shown, but does<br />

not rise as steeply above minimum power speed because <strong>the</strong> engine is being used more<br />

efficiently. It will be seen that <strong>the</strong> airspeed for <strong>the</strong> best range is somewhat higher than<br />

<strong>the</strong> figure obtained in Figure 8.6. In practice <strong>the</strong> power curve, or <strong>the</strong> fuel consumption<br />

curve, remains close to <strong>the</strong> line from <strong>the</strong> origin over a range <strong>of</strong> airspeeds so it is not<br />

necessary to be rigid about <strong>the</strong> airspeed as <strong>the</strong> loss <strong>of</strong> range due to a moderate departure<br />

from <strong>the</strong> ideal is not serious. In practice <strong>the</strong> actual airspeed can usefully be faster than<br />

<strong>the</strong> <strong>the</strong>oretical maximum range speed by an amount that increases fuel flow by 1%.<br />

This gives a useful reduction in journey time with a negligible range penalty.

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