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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76 <strong>The</strong> <strong>Art</strong> <strong>of</strong> <strong>the</strong> <strong>Helicopter</strong><br />
from <strong>the</strong> available power. Some <strong>of</strong> that lift will be lost because <strong>the</strong> larger rotor will be<br />
heavier.<br />
In a turbine helicopter, <strong>the</strong> engine and fuel supply weigh less for <strong>the</strong> power <strong>the</strong><br />
engine produces and so a better result may be obtained by using a smaller rotor and<br />
transmission that also weighs less to obtain a greater useful payload. A comparison <strong>of</strong>,<br />
for example, an Enstrom F-28 and a Hughes 500 illustrates this point.<br />
This cannot be taken to extremes, as <strong>the</strong>re is a practical limit to <strong>the</strong> downwash<br />
velocity. This is reached when objects on <strong>the</strong> ground are blown about and become<br />
a hazard. <strong>The</strong> CH-53E Stallion represents about <strong>the</strong> limit <strong>of</strong> acceptable downwash<br />
velocity as it is almost impossible to stand in <strong>the</strong> downwash. A fur<strong>the</strong>r consideration<br />
is that in autorotation a machine with a high disc loading may have a rapid rate <strong>of</strong><br />
descent, leaving <strong>the</strong> pilot little margin for error in judging <strong>the</strong> flare-out in <strong>the</strong> case <strong>of</strong><br />
an engine failure. On <strong>the</strong> o<strong>the</strong>r hand a machine with a low disc loading may have very<br />
good autorotation performance, <strong>the</strong> Enstrom being a particularly good glider.<br />
Once a disc area and loading has been decided, some consideration has to be given to<br />
<strong>the</strong> tip speed. Pr<strong>of</strong>ile power is proportional to <strong>the</strong> cube <strong>of</strong> <strong>the</strong> tip speed, whereas thrust<br />
is proportional to <strong>the</strong> square <strong>of</strong> <strong>the</strong> tip speed. <strong>The</strong> minimum pr<strong>of</strong>ile power is where <strong>the</strong><br />
minimum possible tip speed is used to operate <strong>the</strong> blades at L/Dmax., which will be just<br />
below <strong>the</strong> stall. Reducing <strong>the</strong> tip speed will require <strong>the</strong> blade area to be increased to<br />
maintain thrust. Consequently <strong>the</strong> disc area is chosen to give <strong>the</strong> desired disc loading,<br />
whereas <strong>the</strong> blade area is chosen to produce sufficient rotor thrust (with an adequate<br />
load factor) at <strong>the</strong> chosen RPM. <strong>The</strong> ratio <strong>of</strong> <strong>the</strong> total blade area to <strong>the</strong> disc area is<br />
known as <strong>the</strong> solidity. Although low tip speeds and high solidity reduce pr<strong>of</strong>ile drag<br />
and improve hovering performance, a machine built to <strong>the</strong>se criteria would not have<br />
an adequate load factor for forward flight. It will be seen in section 3.24 that a low tip<br />
speed is also detrimental to forward flight as well as being a liability in <strong>the</strong> case <strong>of</strong> a<br />
power failure as <strong>the</strong> rotor stores little energy, giving <strong>the</strong> pilot little time to react and<br />
establish autorotation.<br />
In a conventional helicopter <strong>the</strong>re will always be a compromise between hover and<br />
forward flight performance. Possible technical solutions include variable rotor speed<br />
and variable diameter rotors.<br />
In <strong>the</strong> hover a low rotor speed would reduce pr<strong>of</strong>ile drag by allowing <strong>the</strong> blades to<br />
operate closer to L/Dmax., whereas in cruise a high rotor speed would improve <strong>the</strong><br />
load factor. To obtain maximum power from a piston engine at both speeds, a twospeed<br />
transmission would be needed, and <strong>the</strong>re would be some weight and cost penalty.<br />
Changing <strong>the</strong> speed would be easy with a free turbine engine. <strong>The</strong>re would also be a<br />
problem in detuning <strong>the</strong> rotor to minimize vibration at two different speeds. <strong>The</strong>se<br />
problems are not insuperable.<br />
A variable diameter rotor could have a low disc loading for efficient hover, but a<br />
raised disc loading in cruising flight. <strong>The</strong> technical problems here are enormous but<br />
may one day be economically viable.<br />
3.12 Figure <strong>of</strong> merit<br />
Whatever <strong>the</strong> disc loading, in a constant height hover, <strong>the</strong> potential and ki<strong>net</strong>ic energy<br />
<strong>of</strong> <strong>the</strong> helicopter remain constant, and so no work is being done on <strong>the</strong> helicopter. Thus<br />
<strong>the</strong> mechanical efficiency <strong>of</strong> all helicopters in <strong>the</strong> hover is zero. Clearly mechanical<br />
efficiency is not a useful metric, because it doesn’t allow comparison. A better metric is<br />
to compare <strong>the</strong> power <strong>the</strong>oretically needed by an ideal actuator with <strong>the</strong> actual power