Oliver asks about asymmetrical V-tail design theory.
I would like to get your opinion of the allowable size of an
asymmetrical V-tail in which the sides are staggered one
ahead of the other. If the trailing edge of one side is
ahead of the leading edge of the other, would the
interference effects be reduced enough that the projected
areas could be closer to the areas of a conventional
crosstail rather than the sum of the areas? The asymmetry
could be carried a step farther by making the tail volume
coefficient of each side the same. That is, the forward side
could be given a slightly larger area to compensate for its
shorter moment arm.
From : Don Stackhouse
Interesting idea, but interference has nothing to do with it. In our
experience, on typical R/C sailplanes the amount of "destructive
interference" between the two panels is pretty much negligible. If, for a
specific application, the interference was not negligible, then the total
area of the V-tail would have to be GREATER than the total area of the
equivalent conventional tail.
The reason why a V-tail (assuming interference is negligible) must have the
same total area as an equivalent conventional tail (of the same control
authority) is because we must be able to generate the same forces with both
tail types in both pitch and yaw SIMULTANEOUSLY. A V-tail with the same
projected areas in the top and side views could make the same pitch force,
or the same yaw force, but not both at the same time. This could become a
major issue in some flight conditions, such as when trying to recover from
a spin.
As far as the interference issue, I think there are some fuselage
interference issues involved as well, which are more significant on
short-coupled airplanes with fat fuselages. There are other factors that
enter into the question of equivalency between the two tail types. In the
case of interference during rudder inputs, it would seem that a V-tail is
at a disadvantage, although there are interference effects that cloud the
issue for conventional tails when they're asked to make combined
simultaneous pitch and yaw inputs. In addition, there are factors (such as
the larger span / aspect ratio / chord of a same-total-area V-tail) that
give the V-tail an advantage over the conventional tail. In actual
practice, it's been our experience that the sum of all these various
pro-and-con issues usually adds up to just about ZERO.
We've consistently been able to size tails for a variety of models, offered
with the builder's option of either tail type, with negligible differences
in handling and control authority between the two versions. In nearly all
cases, by using the same total area, and V-tail dihedral based on the
arctangent of the vertical tail area divided by the horizontal tail area
(the constant control authority method, slightly different from the
arctan((Av/Ah)^2) constant stability method advocated by Joe Wurts, Mark
Drela and others), we've been able to make all the major equivalency
issues, including stability, and also the dutch roll/spiral stability
balance, come out nearly perfect on the first try. It's tough to argue with
something that's consistently successful in actual practice.
As far as the merits of offsetting the tail panels one in front of the
other as you suggest, I can see pros and cons. At first glance I'd expect
to see minor effects overall, some good and some bad, but the interactions
of tail surfaces with each other are quirky enough that I'd be hesitant to
make a firm opinion either way without flying a few of them first.
Don Stackhouse
DJ Aerotech
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