The Second Boys' Book of Model AeroplanesCollins, Francis A. (Francis Arnold)
Science
The Second Boys' Book of Model Aeroplanes
Collins, Francis A. (Francis Arnold)
Airplanes -- Models
As long as a plane remains horizontal, or nearly so, a very narrow
surface,—one, that is, with a high aspect ratio,—will exert greater
lifting power than a deeper plane of the same area. An examination of
the successful model aeroplanes of 1911 will show that the depth of the
planes has been cut away. Planes are used with an aspect ratio as high
as ten. The speed at which such a plane travels is a very important
factor. As the speed increases, the efficiency of the plane surface
increases, so that a model aeroplane driven rapidly may be sustained by
less wing area than in the case of one which flies slowly.
As the front edge of a plane is raised, the center of pressure travels
backward. By the time the plane has reached an angle of about fifteen
degrees, its lifting power has diminished about one-half. A very narrow
plane, or one with a high aspect ratio, should, therefore, be set near
the horizontal. The model should, moreover, rest upon skids at as low an
angle as possible.
In starting off, the planes will thus exert their maximum lift, or
nearly so. If the narrow planes be elevated too much, the center of
pressure will come nearer the rear than the front edge, and tend to
force the aeroplane downward, or, as the phrase is, make it "sit on its
tail." As long as a plane is traveling horizontally, or at low angles,
its rear portion exerts very little sustaining power and may be cut
away.
A plane with a high aspect ratio is much more stable in flight than a
surface of greater depth. The center of gravity of a flat plane would,
of course, coincide with the center of the surface when the plane is in
motion. When the plane tilts, the center of pressure, as we have seen,
moves backward or forward. If the plane has little depth or a high
aspect ratio, this center of pressure cannot move far.
It must oscillate back and forth within very narrow limits. A very
little tilt up or down will restore it to its normal position, so that a
plane with high aspect ratio is more stable than one with a deeper
surface.
The efficiency of a curved surface over a flat plane was analyzed in a
former volume. Such a curve, when well drawn, adds to the lifting power
as well as the stability. Since a curved plane does more work than a
flat surface, its size may be reduced and its aspect ratio increased. In
other words, the curved plane may be narrower than a flat surface, and
may be made thinner in proportion to its width.
The height of the curve, or camber as it is called, has been worked out
by elaborate mathematical equations, but we may take the general results
without following the calculations. For a plane six inches in depth, the
camber should be about one-half an inch, or one in twelve, or in this
proportion. The curve should be a parabolic with the highest point well
forward, one-third the way from the front edge. The front, or entering
edge, of the plane should be the thickest point. It should be tapered
off to a thin edge in the rear.
Public-domain text, read in full here on John Shaqi.
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