BOATMIK
Deeply flawed human being
- Joined
- Nov 27, 2004
- Messages
- 303
- Reaction score
- 18
- Location
- Adelaide, South Australia
As it turns out... the first half of your statement is not totally correct.
The second half is 100% correct.
It turns out that the easiest way to get an elliptical lift distribution is an elliptical planform.
However, as the aspect ratio increases to ridiculous lengths, the effect becomes
less dramatic. If a sailboat keel had a 50:1 span to chord, the added efficiency
of an elliptical planform would be less dramatic of an improvement.
You could get an elliptical distribution of lift by changing airfoil shape along the span,
but I've not seen that done.
Howdy Mark - thanks for the correction - funny how a misunderstanding (of mine) can hang around for quite a long time!
I was also driven to think (amusingly to me) that fighters and bombers don't generally have to deal with ballast - preferably at the wingtip!
But seriously...
I had a look at the references - couldn't open the first (password) - The second one I was able to look at the first page.
They explicitly state
Minimum induced drag for a thin flat wing is when downwash is constant is reflected in the well known result of an elliptical distribution of chord length and vorticity.
I did have some additional questions which someone may be able to help with.
I know that some glider wings change section partway along. And I'm also wondering how wing flex affects things as it moves the situation away from the 2D case.
Also with sails we are seeing a lot more area jammed up in the head (tip) of many modern sails - is this justifiable from a theory point of view? I imagine one of the differences with sails is the wind speed gradient (lower near the ground and higher further up). And also there is a change in camber and twist too (partly to deal with the wind gradient that "frees" the apparent wind angle.
I've wanted to ask these questions for ages - maybe now is a good time!?!
MIK