Early
experimenters had observed that a wind tunnel model of square
planform (AR=1) stalled at an extremely high angle of attack (greater
than 40 degrees). In 1911 Handly-Page verified the late stall
of extremely low aspect ratio wings and discovered that this
phenomenon was due to the large tip vortices forcing the potential
flow at the root of the wing to remain attached. Although there
is some extra lift at the high AoA these wings can achieve, it's not
as much as one might expect from the angle of attack . The
reason being that these wings lose lift at the tips, just like higher
aspect ratio wings, and the lift increment per degree becomes smaller
as AR decreases (low delta CL / degree alpha). They also have
higher induced drag than a more conventional AR wing which means,
given the same wing area and power loading, reduced climb
performance. Several experimental airplanes with extremely low
AR wings have demonstrated good cruise performance and slow landing
speed but, as far as I know, none has gone into production. I
haven't included a page dealing with this type yet, Check these URLs
if you're interested in extremely low AR ( 1
2 3
4 5
6
7 8
)
Throughout the 1930s
Alexander
Lippisch was developing His "Delta"
series of airplanes. These were characterized by swept back
leading edges with a straight, unswept, trailing edge and the
root chord nearly equal to the fuselage length. In the early
1940s Lippisch and a group of students from the universities of
Darmstadt
und Munich began working on high speed flight. The delta
plan form was selected because the long root chord allowed a deep
spar in an aerodynamically thin airfoil and, by setting the leading
edge sweep angle to be greater than the Mach
angle at cruise speed, the leading edge can remain free of drag
inducing shock waves. In '42 this group observed that a model
with 60 degrees LE sweep exhibited later stall and more lift than
contemporary potential flow airfoil theory predicted.
This model (the Li-P13) became the basis for the DM-1
which never operated as a free flying aircraft but did see
considerable wind tunnel testing in America after W.W.II. By
the end of the 1940s several of the world's air forces were
requesting bids to build supersonic fighters, and many of the new
designs had simple delta planforms.
However
a simple delta wing is not the most versatile planform and, by the
mid '50s, there were a few "deltawing" planes that
deviated from the pure triangle. The first such
improvement on the delta was a little technology demonstrator from
Saab called the 210.
The Saab 210's wing was composed of two superimposed triangles, an
inner panel with 80 degrees sweep which produced a stable vortex
system, and an outer panel with 57 degrees sweep which further
strengthened the vortex and also improved low speed control by
increasing the aspect
ratio. The trapezoidal wing with strakes,
seen on most modern fighters, is an evolution of the double delta.
Using, mainly, simple drawings accompanied be minimal explanatory
text I'll try to give a basic insight into the methods of vortex
augmented lift.
Anatomy of a vortex
Kline Fogleman stepped airfoils
Witold Kasper Superstall
Highly swept wings
The Saab experiment Spanwise blowing
Bibliography and miscellaneous links
As time and inclination permit I will be adding material to these pages. Comments and criticisms are welcome, pleas don't hesitate to drop me a line
Credit: While I was collecting data for this page the guys on the Nurflügel mailing list provided much helpful advice and leads on documents. Several of the topics that they suggested have not been incorporated yet because, frankly, this stuff is hard.
Disclaimer: These documents are intended as an introduction to the subject of vortex augmented lift. If you're working on your master's thesis in fluid mechanics this will look pretty simplistic to you. If you are a high school physics student, or an aeromodeler, then this page is for you.