I see that many people are running CG's a long way back in HLG and they
seem to perform well...
Is this due to the fact that the often highly
asymmetric airfoils have a center of pressure that moves fwd with the
higher angles of attack that exist with low speed HLG craft?
From : Don Stackhouse
No, that has nothing to do with it. Many HLG's with well-aft C/G's have
airfoils with relatively little camber. The airfoil characteristics have
very little (but not quite zero) influence on C/G. BTW, center of pressure
has been pretty much discarded in modern aerodynamics. We now use
aerodynamic center, which is not quite the same thing.
To understand C/G you first have to understand the concepts of neutral
point and static margin. It's quite simple really. The neutral point
nothing more than the C/G location where the static stability is exactly
neutral. BTW, in most discussions we refer to the neutral point for pitch
stability, but there is a neutral point for yaw stability as well, and the
two are not necessarily the same.
Static margin is the distance between the C/G and the neutral point. If the
C/G is ahead of the neutral point, then the static margin is positive, and
the static stability is positive by an amount that is related to the static
margin. If the C/G is behind the neutral point, then the static margin and
static stability are negative (i.e.: the model is statically divergent, if
you pull the nose up it wants to go up even more, shove the nose down and
it wants to tuck).
Now the catch: the location of the neutral point depends on the design of
the ENTIRE AIRCRAFT, not just the wing. This rule of thumb of specifying
C/G as a percentage of wing chord without considering anything else is
actually quite bogus. We get away with it because for the most part
conventional aircraft layouts are reasonably similar, and because the
static margins that usually result from these rules of thumb are typically
quite conservative. It all seems to work fairly well until we notice that
some airplanes can handle C/G's far aft of what the old rules of thumb say
should cause instability.
When we consider the aerodynamic center of the entire aircraft we can see
why. The tail is well aft of the wing. When we find the aerodynamic center
of the entire aircraft (which should include the effects of the fuselage
too, although with the slim fuselages typical of our models we can usually
ignore it), we find that the total aerodynamic center is typically in
between the aerodynamic centers of the wing and tail, proportional to the
ratio of their areas. For example, if the wing had an area of 2 square feet
and the tail had an area of 1 square foot (area of the total is therefore 3
square feet), then the aerodynamic center of the aircraft (neglecting the
fuselage) is located 2/3 of the way from the tail's aerodynamic center to
the wing's aerodynamic center. BTW, the neutral point will usually be
pretty close to the aircraft's aerodynamic center.
A large tail and/or a long tail moment can obviously shift the aircraft's
aerodynamic center ("AC") and the corresponding neutral point well aft on
the wing, even aft of the trailing edge.
Go back to the design you're studying, find the aerodynamic center of the
entire aircraft, then determine the static margin based on that overall AC.
I think you'll find that it makes a lot more sense this way.
BTW, this same method works for canards and other unusual layouts.
Don Stackhouse
DJ Aerotech
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