holst FT posted 12-16-98 10:17 PM ET (US)
Wing loading is a useful guideline for these things because it is by
far the most important factor. No matter how well designed the wing on a
p-51 is (and it was incredibly well designed, btw), its not going to out
turn a zero.
However, there are lots of other factors effecting the performance of
a wing. So many, in fact, that I couldn't possibly cover them all here,
presuming that I knew well enough what I was talking about, which is also
sometimes a bit of a stretch
Two of the most important ones, however, are Aspect ratio and taper ratio.
Airfoil *section* properties (that is to say two dimensional considerations)
are only part of the wing. This is the familiar province of angle of attack,
etc.
However, planform can also be extremely important. The Spitfire wing,
for example, is an example of an aircraft with a different (and in the spits
case, very efficent) planform. As much as I hate looping dweebfires, the
lower induced drag produced by an eliptical wing gives *some* merit to their
energy retention. (Although to my eye, its still totally out of control
in WB).
But I'm getting ahead of myself.
There are two general means by which the designer can change the planform
of a wing, either of which will affect the aerodynamic characteristics of
the wing. The first is to effect a change in the aspect ratio. Aspect ratio
is the primary factor in determining the three dimensional characteristics
of the ordinary wing and its lift/drag ratio. An increase in aspect ratio
with constant velocity will *decrease the drag, especially at high angles
of attack* (this is important for the turn performance of the 109) and increase
the performance of the wing when in a climbing attitude. A decrease in aspect
ratio will give a corresponding increase in drag.
The second means of changing the planform is by "tapering"
(decreasing the length of chord from the root to the tip of the wing). In
general , tapering will cause a decrease in drag (most effective at high
speeds) and an increase in lift.
The 109 wing is both tapered and has a very high aspect ratio.
A bit about the spitfire...
The elliptical wing is the ideal subsonic planform since it provides
for a minimum of induced drag for a given aspect ratio, though as we shall
see, its stall characteristics in some respects are inferior to the rectangular
wing. It is also comparatively difficult to construct. It has a tendency
to weigh more than comparable tapered wings (spit vs 109).
So essentially:
The spit has an elliptical wing which is most efficent for a given aspect
ratio
but
The 109 has a higher aspect ratio and thus (all else being equal, which
it nearly is) better performance at a high AOA.
Apparently, WB has the spit coming out on top, just barely. I can buy
that. OTOH, mere numbers in terms of wing loading don't tell the whole story...so
its not inconcievable to me that the 109 is as good or even a little better.
As far as precision goes...I don't have the numbers or the expertise
to say exactly what should happen...thats what we pay iMOL for. I can, however,
say with assurance that wing loading is not all there is to turn performance.
------------------
holst-FT
(Flying Tigers)
worr posted 12-16-98 10:26 PM ET (US)
Wing loading isn't the whole picture.
Sure you need apples to make an apple pie, but with good apples you can
still burn the crust. There are many other variables to be added into the
equation. The P-38 is a superb example of this!
As far as the 109 out turning spitfires...well always cross reference
any comments like this. Get two people to say it working with different
primary sources (mind you most of your reading books work with secondary
and tertiary sources.)
Worr, out
epee posted 12-16-98 10:54 PM ET (US)
Turn performance of aircraft are measured in several ways. Rarely is
a single plane a master at all of them.
There's instantaneous turning ability, i.e. the ability to change your
direction vector quickly. The FW 190, believe it or not, is very good at
this when hauling ass.
There's turn radius, the amount of sky you need to turn in. The ability
to ride the edge of stall is very important here and the 109 is good at
it.
Then there is sustained turn speed, the speed you can maintain while
continually turning 360 degrees without stopping. The Spitfire is a champ
at this. That's why it's so easy to blackout in a Spit.
So while a 109 can loose speed to gain angles on a Spit he'd better kill
it quick because the fast turning (not tight turning) Spit will soon be
in behind him with more energy.
Wells posted 12-16-98 10:58 PM ET (US)
Wing loading is only a guide (wing area is only one factor in the lift
equation). A shorter wingspan has nothing to do with it as in that quote!
The airfoil chosen has a LOT to do with it as well. For example: The P-38
uses an airfoil that is capable of pretty high lift coefficient without
stalling. This is partly due to the thickness of the wing and the camber
(curvature) of the airfoil.
Induced drag is directly connected to aspect ratio (ratio of span to
average chord), so a high aspect ratio makes for lower induced drag and
higher turning speed (more G's).
A plane that has a higher top speed will also have a small advantage,
due to it's ability to overcome drag with thrust. Anything that will maintain
a higher turning speed will allow for more G's to be pulled.
Good turning performance favours a wing that is ample in area, has a
low aspect ratio and a low maximum lift coefficient (induced drag is also
figured from the lift coefficient squared). This is exactly where the Spitfire
is at. It has a thin wing (low Clmax), low wing loading (ample area) and
reasonable aspect ratio. The 109 uses slats (higher CLmax and a slightly
higher aspect ratio to give it's turn performance while also allowing for
higher speeds). The modified clark-y airfoil has one of the best lift/drag
ratio's as well, which helps climb performance.
Also, look at the stalling speeds for the planes. A lower stalling speed
will allow a plane to pull more G's for any given speed.
Planes with good flaps that increase wing area (P-38, Ki-84) can benefit
from a notch for better turn performance.
Pyro posted 12-17-98 03:42 AM ET (US)
Wells,
First, I have to say that I've always admired your posts. I really like
the scientific approach you take and the fact that you're willing to check
things out for yourself rather than just accepting that something stated
as factual is actually true. Anyway, I just wanted to say that.
Now to chime in on the wingloading issue. To the original poster, the
statement that the 109 could turn better because of its wingspan is pure
bunk. The author seems to suggest that because the Spitfire had a longer
wingspan, the 109 could outturn it. That's just ridiculous. Wingspan doesn't
have crap to do with figuring something like that out other than the fact
that it is relational to aspect ratio and wing area, both of which are detrimented
by a shorter wingspan, all other things being equal.
Wing loading is simply weight/wing area. Without knowing more about the
airfoil characteristics of a particular airplane, this provides a good ballpark
reference, but it totally excludes the lift coefficient.
The formula for lift is simply (Wing Area)(Lift Coefficient)(1/2 air
density)(velocity^2). Since you're going to be comparing aircraft under
the same atmospheric conditions and WB just uses a standard atmosphere(29.92
in. Hg, 59 degrees @ SL), you can throw that out and pare down the lift
formula to the following statements:
1- Lift is proportional to the square of the velocity.
2- Lift is proportional to the wing area.
3- Lift is proportional to the lift coefficient.
Therefore, you can see that a wing with an area of 200 square feet and
a max lift coefficient of 2.0 will produce the same amount of lift at an
identical velocity as a wing with an area of 400 square feet and a max lift
coefficient of 1.0(200*2=400, 1.0*400=400).
This illustrates that while wingloading can give a lot of insight to
the lift characteristics of an airplane, it does not take into account the
lift coefficient of the airfoil which has the same relationship as wing
area with regards as to how much lift is produced.
Induced drag should also be mentioned here, but the formulas are just
a bit more involved than lift and potentially a lot more misleading. However,
you can break it down to the following statements:
1- Induced drag is inversely proportional to the square of the velocity.
2- Induced drag is proportional to the square of the lift coefficient.
3- Induced drag is proportional to the wing area.
4- Induced drag is inversely proportional to the aspect ratio.
5- This is fairly minor, but the elliptical wing such as that on a Spitfire
is the most efficient wing shape when determining the induced drag coeffiecient.
So here's the interesting part. Using the two hypothetical wings I used
in the lift example, the 200 sf wing would produce twice as much induced
drag as the 400 sf wing at their max lift coefficients even though both
are producing the same amount of lift. BTW, this does assume both wings
have the same AR and shape.
-Pyro
Bombom posted 12-17-98 04:48 AM ET (US)
quote:
"....pilots of spits, hurri's, and bf109's all claimed that their
aircraft had the tightest turning circle blah blah"
While Len Deighton is an excellent writer of spy stories and handles
the BoB narrative rather well, he's no expert on aerodynamics or period
aircraft :-)
It's a good read, but it's aimed at the general public.
-bmbm-, CO Royal Swedish Air Force
Fighting for Bullens Pilsnerkorv and lukewarm beer worldwide
kats Jg27 posted 12-17-98 10:00 AM ET (US)
There has never been debate over the Bf109 having a tighter turn radius
than the spit. All sources agree, (even Imol sources).
The is spit has a faster turn rate though, dang!@#$%^&
wulfer posted 12-17-98 10:20 AM ET (US)
In that same book, commenting on the structuraly integrity of the aircrafts'
wings, Len Deighton says something like: One's claim that a plane can out-turn
another is really just a reflection of how foolhardy one's opponents have
been.
An interesting thought.
wulfer
from out of nowhere! Check six ya'll!
cuda posted 12-17-98 01:14 PM ET (US)
Thanks Kats for observing that Deighton never argued that the 109 was
a better turning aircraft but only that it has a tighter turn radius.
I would be interested to hear what Wells and Pyro has to say about turn
radius. I guess it is a factor of max AOA without stalling.
Pros, speak up!
cuda out
Cuda, CO 99th Dragons
Cuda's Warbirds Resources
http://www.99th.org/cuda/
IDIAMN 1 JG27 AFRIKA posted 12-17-98 03:22 PM ET (US)
Thank you for all of your informative responses.
AGAIN, let me RE-EMPHASIZE that I am not holding this "len deighton"
dudes word as truth but was just curious as to what involved the ability
to have a tight turning radius. I am fully aware of the MANY inaccuracies
that occur in undertakings of history and such, and unlike SOME people I
never take anything as fact but mere "strong possibility".
My question has been answered thank you.
C U above,
"Hey...nice cannons"
Idi
Wells posted 12-17-98 06:26 PM ET (US)
Pyro,
Thanks man!
Turn radius is a function of the square of the velocity and G-force.
r = (Mass * V^2)/Force (lift)
IMO, it's turn rate that is more important. A higher turn rate aircraft
should 'always' be able to get it's nose on it's target while avoiding being
shot.
ik Jagdgeschwader 77 posted 12-17-98 09:56 PM ET (US)
hehe, despite all the great posts i think kats was the only one to dispell
the myth with the correct approach
NOWHERE, did the author say the Emil turned faster (faster turn rate),
he said that it had a smaller turn radius, which i think is true! I would
say though that the Author is wrong when he said that having the smallest
turning circle is vital to combat, that' SPEED.
Tchüß
ik
"I fly close to my man, aim well, and then he falls down."
-Oswald Boelcke
Pyro posted 12-18-98 03:16 PM ET (US)
k wrote:
NOWHERE, did the author say the Emil turned faster (faster turn rate),
he said that it had a smaller turn radius, which i think is true! I would
say though that the Author is wrong when he said that having the smallest
turning circle is vital to combat, that' SPEED.
t's not the what in his statement that I object to, it's the why(I have
read the report that he cites). It's that he attributes that performance
to the wingspan and infers to the reader that a shorter wingspan leads to
a tighter turning radius. My original post convoluted things because I didn't
keep it specific to radius. But when discussing how the wingspan would affect
this, it doesn't matter whether you are talking about rate or radius. All
other things being equal, a shorter wingspan will not give you a better
turn rate nor will not give you a smaller turn radius.
Wells wrote:
Turn radius is a function of the square of the velocity and G-force.
r = (Mass * V^2)/Force (lift)
To illustrate my point let's look at Wells' formula here and discuss
the elements in it that would be affected by the wing. If you want to decrease
your turn radius, you could either increase your lift or decrease your velocity.
Velocity has a much greater effect on radius since it is the squared term.
But again, it is the plane with better lift characteristics that will be
able to fly at the lower speed and therefore have the smaller turn radius.
This is only part of the picture because it totally ignores thrust and
drag, but it's only my point that attributing that smaller turn radius to
the 109's smaller wingspan is totally incorrect.
-Pyro
worr posted 12-18-98 07:41 PM ET (US)
IK wrote:
hehe, despite all the great posts i think kats was the only one to
dispell the myth with the correct approach
With all due respect the title of this tread was the point of departure
for me and many others. As has been pointed out there is more to turn performance--radius
or rate--than one factor.
For example, take a very heavy air craft like the P-38 that also has
higher wing loading, there is still the tremendous lift of that wing as
well as the thrust two enginges produce. No one characteristic either as
a strength or weakness will be the telling result.
Worr, out |