Hand launch
glider airfoils...
HLGs are simple flying machines; it’s the flying indoor and the digital
stopwatch that complicates things. Those factors separate
the theorist from the flyers….and the bullshit from the
real world.
I have spent 50 years in the real world
of the Hand Launch Glider. I have won both indoor and outdoor
hand launch at the Real Nationals, I have held both indoor
and outdoor records many, many times. I held both indoor and
outdoor records for about 10 years after I quit flying hand
launch. My two sons won the Nationals and still hold junior
and senior hand launch records they set in the 1970s. My point
in all that is; you never once beat me in any HLG contest.
Only those who beat me can prove I’m wrong. Ed Sobot beat
me once, Dick Peterson beat me twice, Lee Hines beat me once,
and Ken Happersett beat me once. Each time I learned more
than they did, and came back better prepared, so can you.
In the real world of serious Indoor Hand
Launch Glider competition, Weight is where it’s at. Weight
is the single most important factor determining glider performance.
Weight is also the second and third most important factors.
When a glider is over weight there is nothing
that will save it. Indoors there is no magic strong enough
to rescue a poorly built glider. These new digital stopwatches
are not impressed by manure, no matter how deep it’s piled.
The ideal weight for a conventional hand
launch glider is about 1 oz per 100- sq. in. of wing area.
Windy weather outdoor gliders are just barely competitive
at 1.5 oz. per 100-sq. in. of wing loading. Anything heavier
and you might just as well be throwing golf balls at the thermals.
Only after you have convinced your self
that weight is by far the most important factor in small model
performance, only then can you turn your attention to the
minor details.
Drag is the fourth most important thing
to a HLG. Drag is a relatively minor item compared to weight.
Thou shall
never add any drag reduction details that increase flying
weight.
Unless of course you need to increase weight
for a good reason. The only good reason I know of is to get
the model higher. Indoors you should fly a model that uses
all of the available ceiling height. But remember that heavier
models have a difficult task in slowing down and making that
first turn at the top. Better to be a bit too light rather
than a bit too heavy.
I. In the
climb portion of the flight, DRAG increases roughly on the
square of the frontal area of the model.
II. In the
glide portion of the flight, DRAG increases roughly on the
cube of the weight. of the model
These are two very simplified rules that
do contain much of our low speed and low Reynolds number knowledge.
You will not win consistantly unless you follow these rules.
The fifth most important thing to a HLG is
the wing. The wing is the only part of a HLG that actually
contributes anything to the end result. Everything else is
extraneous matter along for the ride. The stabilizer is just
that, it stabilizes the wing and keeps it operating at the
optimum angle of attack.
The rudder provides directional stability
in the climb phase, nothing else. The fuselage’s sole purpose
is to hold everything together in their correct positions.
The correct positions are as follows: High wing, Low nose
weight, and Low stabilizer, and also of course a very low
moment of inertia. The important thing to remember is that
although the wing is the only functional part of the HLG,
it is number five on the list of important factors and it’s
still just a minor factor compared to flying weight.
In wing design the most important factors
are wing planform, wing section, airflow turbulation, and
dihedral. Dihedral must include polyhedral break locations
and amounts of dihedral, in relation to the lateral areas
and vertical locations of such areas of the rudder and of
the fuselage.
There is no magic gee haw you can glue on
and suddenly become a contest winner.
There simply is no
magic.
In 50 years I have built well over 1000
gliders, no more than 6 or 8 were identical. I test in the
real world. I keep records. I keep that which is of value
and discard that which is of no value. The wing section I
have currently settled on is a simple flat plate with an expanding
logarithmic spiral curve on the top surface to delay the stall.
I do not expect the top surface of the wing to produce much
useable lift.
In the world
of the HLG, about 90% of the lift is produced on the bottom
surface of the wing. With a properly undercambered
section, that number is perhaps 95%. The main reason for a
curve on the top surface of the wing is to control drag at
the very high angle of attack that is required to fly slow
and rack up glide time. Your wing produces lift by displacing
air downward, equal to the weight of the glider. The lighter
the model, the lower the required airspeed, the lower the
airspeed, the lower the drag, and the lower the drag the lower
the sink rate and the better the flight times. No kidding,
there is no magic here.
All wings
with their associated airfoils produce exactly the same amount
of lift. All wings produce lift exactly equal
to the weight of the model, its just that some do it with
less drag.
A typical flat bottom airfoil produces only
about 3-5% of the lift on the top surface. Another 3-5% is
produced by down wash behind the trailing edge, much of this
down wash is a result of the curve on the top surface. Undercamber
will increase lift drastically by increasing the down wash
drastically, however undercamber increases drag even more
drastically at low angles and high speeds. Remember that a
properly launched HLG leaves your hand at a speed of over
100 MPH. Really. If yours don't, you are not throwing hard
enough
We take exception
to Bernoulli’s law for hand launch gliders. Bernoulli’s
law really does not have much to do with wing sections. He
was a 17th century Scientists who published a book in which
he proved that the sum of static and dynamic pressures over
a streamline shape always remain constant.
For years our teachers, none of whom ever
read the book and didn’t understand the physics, have been
teaching their unquestioning students that the air over the
top of the wing has to travel further that the air over the
bottom of the wing. Therefore the air over the top of the
wing has a lower static pressure and produces all the lift
we need.
My teachers also injected the well know
fact that the air molecules that separated at the leading
edge had to really speed up in order to rejoin the same air
molecules again at the trailing edge. This is all sort of
true under certain conditions. The sad news was that I for
one believed them, …. Even when I knew that there was something
wrong and things did not add up correctly.
The air molecules that separate at the leading
edge of the section never ever meet again at the trailing
edge. There are at least 20 good reasons for this but one
major reason is the span ward flow of those air molecules
on the top of the wing. The very best reason for them not
meeting again at the trailing edge is simply that there is
no good reason why they should.
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Wind Tunnel data collected within a confined airflow type
tunnel is almost totally useless.
Not totally useless, but almost. Hand launch
gliders fly at a very low Reynolds number and at an angle
of attack that is unbelievable to the old school of aerodynamics.
In the climb portion HLGs operate at near a –1 degree angle
and in the glide portion we float along in the range of +12
to +18 degrees. And thats for
real.
Wing planform does matter in that it plays
a major role in controlling span ward airflow. The wing platform
developed by Don Foote in the late 1930s seems to be about
the best. This is the platform used on his old timer gas model,
the Westerner and all the Hand Launch Gliders that have ever
exceeded 1:20 in dead air. Don Foote claimed that this wing
platform resulted in a model that would glide slower and thermal
better. I suspect the “thermal better” part come about because
he also reduced rudder area about 50% at the same time he
went to the new wing platform. Incidentally, that beautiful
1/3 by 2/3 elliptical platform that looks so great on a Spitfire
is just about the worst you can choose for any glider type
model.
What I have decided is that the only part
of the wing that is really operating up to my expectations
is the portion with the trailing edge perpendicular to the
intended airflow. The trailing edge must be perpendicular
to the airflow to minimize the spanwise flow of the air that
must produce the lift we need. Wing planform is another subject
altogether and is dependent up on the intended use and required
angle of attack.
The section I use is just a flat plate with
some curve on top to delay the stall. Figure 1 is the basic
section. The top surface is a 6% thick expanding logarithmic
spiral curve with a very sharp leading edge. Note there is
no Phillips entry and no leading edge radius. The 6% may seem
thin but it is a fact of life that as you fly at lower and
lower Reynolds numbers you must also reduce wing loading and
wing section thickness. No room for the bull.
The section shown in figure 2 is the actual
section I use under most conditions. Over the years I have
shifted the high point of the section from 18% to as far aft
as 40% of the chord. I think the 25% location is best for
most conditions. The true expanding logarithmic spiral has
its high point at 30.06%; I fudge this location by treating
the distance from the leading edge to the desired high point
as the total wing chord. You can do that with this curve and
it works out perfectly every time.
The most noticeable part of this section
is also one of the least important details of the section.
From the high point to the trailing edge is a straight line.
This has no measurable affect on the glide times when tested
with identical gliders at identical weights.
The big reason for doing this is that it
eliminates wood from the wing
and as a side effect, this section provides a better recovery
at the top. We no longer have to waste altitude with the classic
HLG Roll Out at the top; we can now use a simple slip out
recovery at the very top with no loss of altitude.
The wood that is eliminated from the wing
is very substantial, far in excess of the material needed
for the entire tail assembly. The model weighs less and flys
better.
Figure 3 shows a similar section that does
not glide very well. I think the reason is the lack of sufficient
curvature right behind the leading edge. This is where many,
many would be glider flyers have gone wrong and ended up with
good flying gliders with no hang time and poor flight times.
Now indulge me for a moment. Take a sharp pencil and straight
edge and draw a line from the leading edge to the high point
of the section. Go ahead and do this on figures 2 and 3 and
note the differences. Figure 3 does not work, never seems
to get up on the step.
That straight line you just drew measures
out to be just about a 14-degree angle of attack to the bottom
of the wing. When we get the wing to operate at a 14-degree
angle of attack we will have a perfectly good airfoil from
the leading edge to the high point of our wing section. And,
a couple of degrees either way won’t hurt much. What happens
behind the high point doesn’t seem to matter much.
Our only objective
is to displace air equal to the weight of the glider and with
the least possible drag.
A flat plate at 12 to 18 degrees angle of
attack pushes a lot of air downward and creates a lot of drag
on the top surface, I think the curvature on the top surface
does alleviate the drag problem.
My own totally untested, unproven theory
is that low Reynolds number wing sections, all tend to retain
most of their laminar flow characteristics until the air is
past the trailing edge of the wing. Laminar flow sections
sure are beautiful in the wind tunnel.
I am certain that the sharp leading edge
starts the turbulation on the top surface of any airfoil at
a high angle of attack. On these very low Reynolds number
sections I suspect that a flowing burble of air forms on the
top surface and has the ability to change size, shape, and
location to delay the stall point.
To take advantage of this section you also
need to keep your wing tips light and thin like a trailing
edge, keep your leading edges light and sharp. With any flying
model you always must keep the extremities very light to reduce
the moment of intia.
Your HLGs should be made to fly, not to survive
a crash. The crashes are you own fault. When a model survives
a crash you should reexamine you design. Are you building
airplanes or tanks ?
Now that you suspect that I may be a bit
of a nut who probably believes the world is also flat, let
me say that I have traveled around the world, and I have seen
the curvature of the earth from 45,000 feet. The world may
not be perfectly round but it’s not flat either. There are
no sure things and you have no good reason to assume that
I’m right about everything.
But let the digital stopwatch be the final
judge
Curt Stevens Model Research Labs
3-1-97,
revised 08-30-02
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