The Art of the Helicopter John Watkinson - Karatunov.net
The Art of the Helicopter John Watkinson - Karatunov.net
The Art of the Helicopter John Watkinson - Karatunov.net
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330 <strong>The</strong> <strong>Art</strong> <strong>of</strong> <strong>the</strong> <strong>Helicopter</strong><br />
and density altitude. <strong>The</strong> top right section <strong>of</strong> <strong>the</strong> chart allows density altitude to be<br />
computed by finding a point where a horizontal line from pressure altitude on <strong>the</strong> left<br />
scale intersects <strong>the</strong> free air temperature line. A vertical line from this point will give<br />
a reading on <strong>the</strong> density altitude scale. This line will also intersect <strong>the</strong> AUW curve on<br />
<strong>the</strong> bottom right chart. Moving left from this point will give a reading on <strong>the</strong> hover<br />
OGE torque scale.<br />
<strong>The</strong> bottom left chart converts <strong>the</strong> hover OGE torque to <strong>the</strong> torque needed at various<br />
skid/wheel heights. <strong>The</strong> HOGE line is at an angle <strong>of</strong> 45 ◦ and does not change <strong>the</strong> torque<br />
required. However, <strong>the</strong> lines for various heights <strong>of</strong> IGE have different slopes and reduce<br />
<strong>the</strong> torque accordingly.<br />
<strong>The</strong> chart can be used in different ways. In <strong>the</strong> above example <strong>the</strong> pressure altitude,<br />
air temperature and AUW were used to find <strong>the</strong> torque needed to hover. However, from<br />
AUW and known altitude <strong>of</strong> <strong>the</strong> destination it is possible to deduce <strong>the</strong> maximum air<br />
temperature at which a vertical landing could be made. In <strong>the</strong> case <strong>of</strong> an engine failure,<br />
<strong>the</strong> chart can also be used to show that above a certain AUW hovering even in ground<br />
effect is impossible and a rolling landing on a runway would be needed.<br />
In practice, power needed to hover is affected by windspeed. In most cases <strong>the</strong> power<br />
needed will be reduced, except if <strong>the</strong> wind is from a particular direction and at a particular<br />
speed that causes <strong>the</strong> main and tail rotors to rob one ano<strong>the</strong>r <strong>of</strong> inflow. This<br />
phenomenon was considered in Chapter 5. <strong>The</strong> tandem rotor helicopter is less sensitive<br />
to wind direction in <strong>the</strong> hover.<br />
Turning next to forward flight, Figure 8.5(a) shows how <strong>the</strong> various power requirements<br />
typically change with airspeed. <strong>The</strong> rotors will require induced power and pr<strong>of</strong>ile<br />
power and <strong>the</strong> hull will require parasitic power to overcome drag. <strong>The</strong> induced power<br />
will be high in <strong>the</strong> hover and falls as airspeed increases. This is because forward flight<br />
gives <strong>the</strong> rotor access to a larger mass <strong>of</strong> air per unit time and production <strong>of</strong> thrust<br />
becomes more efficient. <strong>The</strong> induced power will also increase with AUW. Pr<strong>of</strong>ile power<br />
will also rise with AUW and increases slightly with airspeed as <strong>the</strong> pr<strong>of</strong>ile drag on<br />
<strong>the</strong> advancing blade increases more than <strong>the</strong> drag on <strong>the</strong> retreating blade lessens.<br />
In contrast, <strong>the</strong> parasite power is substantially independent <strong>of</strong> AUW, but increases<br />
with airspeed. <strong>The</strong> drag force will increase as <strong>the</strong> square <strong>of</strong> airspeed, but <strong>the</strong> power is<br />
<strong>the</strong> product <strong>of</strong> <strong>the</strong> drag force and <strong>the</strong> airspeed and so will increase as <strong>the</strong> cube <strong>of</strong> <strong>the</strong><br />
airspeed. At very high speeds <strong>the</strong> rotor disc must be inclined forwards substantially so<br />
that <strong>the</strong> horizontal component <strong>of</strong> thrust from <strong>the</strong> rotor can become large to overcome<br />
hull drag. This nose-down attitude may make <strong>the</strong> hull drag even greater. As main rotor<br />
thrust increases <strong>the</strong> tail rotor thrust will also need to increase to counteract torque and<br />
so <strong>the</strong> tail power will also increase at high speeds.<br />
Figure 8.5(b) shows that <strong>the</strong>re is an airspeed, typically around 50 knots, at which<br />
<strong>the</strong> total power is minimum. At this airspeed <strong>the</strong> induced power has fallen but <strong>the</strong><br />
parasite power has not yet risen seriously. <strong>The</strong> figure also shows <strong>the</strong> available power,<br />
which is relatively constant, although in some machines it rises with airspeed owing<br />
to <strong>the</strong> ram effect <strong>of</strong> dynamic pressure at <strong>the</strong> intake. <strong>The</strong> power required reaches <strong>the</strong><br />
available power on <strong>the</strong> right and this would determine <strong>the</strong> highest airspeed that could<br />
be reached, assuming no structural limits or retreating blade stall effects. At all lower<br />
airspeeds, a power margin exists and so <strong>the</strong> machine can take <strong>of</strong>f vertically. At <strong>the</strong><br />
minimum power airspeed <strong>the</strong> machine can stay airborne for <strong>the</strong> longest time. Clearly<br />
<strong>the</strong> greatest power margin exists at this airspeed and thus <strong>the</strong> maximum rate <strong>of</strong> climb<br />
would be obtained at full power. <strong>The</strong> minimum rate <strong>of</strong> descent in autorotation will also<br />
be obtained at this airspeed.<br />
Figure 8.5(b) contrasts <strong>the</strong> conditions for a normally loaded machine at sea level,<br />
with <strong>the</strong> conditions for a high AUW, where <strong>the</strong> available power only exceeds <strong>the</strong> required