I have watched the discussion about winglets and thought a little 
information might be helpful.

The following was scanned from the textbook

Aircraft Design: A Conceptual Approach by Daniel P. Raymer, American 
Institute of Aeronautics and Astronautics

and run through an OCR program:


Wing Tips

Wing-tip shape has two effects upon subsonic aerodynamic performance. 
The tip shape affects the aircraft wetted area, but only to a small 
extent. A far more important effect is the influence the tip shape has 
upon the lateral spacing of the tip vortices. This is largely determined 
by the ease with which the higher-pressure air on the bottom of the wing 
can "escape" around the tip to the top of the wing.

A smoothly-rounded tip (when seen nose-on) easily permits the air to 
flow around the tip. A tip with a sharp edge (when seen nose-on) makes 
it more difficult, thus reducing the induced drag. Most of the new 
low-drag wing tips use some form
of sharp edge. In fact, even a simple cut-off tip offers less drag than 
a rounded-off tip, due to the sharp edges where the upper and lower 
surfaces end. (Fig.
4.27).

The most widely used low-drag wing tip is the Hoerner wingtip (developed 
by S. Hoerner, Ref. 8). This is a sharp-edged wing tip with the upper
surface continuing the upper surface of the wing. The lower surface is 
"undercut" and canted approximately 30 deg to the horizontal. The lower 
surface may also
be "undercambered" (i.e., concave).

The "drooped" and "upswept" wing tips are similar to the Hoerner wing 
tip except that the tip is curved upwards or downwards to increase the 
effective span without increasing the actual span. This effect is 
similar to that employed by endplates, as discussed below.

The sweep of the wing tip also affects the drag. The tip vortex tends to 
be located approximately at the trailing-edge of the wing tip, so an 
aft-swept wing tip, with a greater trailing edge span, tends to have 
lower drag. However, the aft-swept wing tip tends to increase the wing 
torsional loads.

A cut-off, forward-swept wing tip is sometimes used for supersonic 
aircraft. The tip is cut off at an angle equal to the supersonic 
Mach-cone angle, because the area of the Wing within the shock cone 
formed at the wing tip will contribute little to the lift. Also, this 
tip shape will reduce the torsional loads applied
to the wing. The F-15 fighter uses such a cut-off tip for both wings and 
horizontal tails.

Induced drag is caused by the higher-pressure air at the bottom of the
wing escaping around the wing tip to the top of the wing. An obvious way
to prevent this would be to mount a vertical plate at the wing tip.

The endplate effect has been known almost since the dawn of flight, but 
has been seen rarely. The wetted area of the endplate itself creates 
drag. Also, an endplated wing has an effective span increase of only 
about 80% of the actual span increase caused by adding the endplates' 
height to the wing span. However, endplates can be useful when span must 
be limited.

An advanced version of the endplate can offer lower drag than an equal 
area increase in wing span. The "winglet," designed by NASA's R. 
Whitcomb, gets an additional drag reduction by using the energy 
available in the tip vortex.

The winglet is cambered and twisted so that the rotating vortex flow at 
the wing tip creates a lift force on the winglet that has a forward 
component. This forward lift component acts as a "negative" drag, 
reducing the total wing drag.

A properly designed winglet can potentially provide an effective span 
increase up to double that bought by adding the winglets' height to the 
wing span. Winglets provide the greatest benefit when the wing tip 
vortex is strong, so a low-aspect-ratio wing will see more advantage 
from the use of winglets than an already-efficient high-aspect-ratio wing.

One problem with winglets is that they add weight behind the elastic 
axis of the wing, which can aggravate flutter tendencies. Also, the 
twist and camber of a winglet must be optimized for one velocity. At 
other than design speed, the winglet will provide less benefit.

For these and other reasons, winglets tend to be used more as add-on 
devices for existing wings requiring a little more efficiency without 
major redesign. When an all-new wing is being designed it is usually 
better to rely upon increased aspect ratio to improve aerody~iamic 
efficiency. This is not always true so a trade study should be conducted 
sometime during the conceptual design effort.


Steve Eberhart
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