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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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Introduction to helicopter dynamics 83<br />

Fig. 3.16 When <strong>the</strong> helicopter descends vertically, it can catch up with its own wake and <strong>the</strong> rotor vortices<br />

are not swept away, but result in recirculation. If allowed to develop fully, <strong>the</strong> result is <strong>the</strong> vortex ring condition.<br />

Fig. 3.17 <strong>The</strong> relationship between induced velocity and vertical climb/descent velocity. Both have been<br />

normalized with respect to induced velocity in <strong>the</strong> hover. Note <strong>the</strong>re is a discontinuity between powered<br />

descent and autorotation due to <strong>the</strong> vortex ring condition.<br />

and so had low induced velocity. Some suffered from power settling where above a<br />

certain rate <strong>of</strong> vertical descent <strong>the</strong> descent could not be arrested except by moving into<br />

forward flight.<br />

Figure 3.17 shows <strong>the</strong> relationship between <strong>the</strong> induced velocity needed and <strong>the</strong><br />

climb/descent velocity. As <strong>the</strong> effects are proportional to <strong>the</strong> hover induced velocity,<br />

Figure 3.17 has been normalized by dividing both parameters by that factor. As a<br />

result <strong>the</strong> curve passes through unity in <strong>the</strong> stationary hover. Note that as <strong>the</strong> rate <strong>of</strong><br />

descent increases, following <strong>the</strong> curve to <strong>the</strong> left, <strong>the</strong>re is a discontinuity where a fully<br />

developed vortex ring condition occurs. <strong>The</strong> recirculation has now enveloped <strong>the</strong> rotor<br />

whose ability to produce lift is considerably reduced. <strong>The</strong> effectiveness <strong>of</strong> <strong>the</strong> cyclic<br />

pitch will also be reduced. Increasing collective makes it worse. <strong>The</strong> machine drops like<br />

a stone, pitching and rolling randomly. If this condition is entered close to <strong>the</strong> ground,<br />

recovery may be impossible.<br />

To create lift a rotor must have mass flow whose momentum it can increase. In hover<br />

or climb, <strong>the</strong> inflow is downward and <strong>the</strong> rotor puts momentum into <strong>the</strong> inflow by<br />

accelerating it. In a vertical autorotation <strong>the</strong> inflow is upward (effectively making <strong>the</strong><br />

momentum negative) and <strong>the</strong> rotor puts momentum into <strong>the</strong> air by slowing it down.<br />

Both <strong>of</strong> <strong>the</strong>se conditions are stable and <strong>the</strong> results are predictable from actuator disc

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