What is eliptical is the magnitude of the lift versus the span of the sail (foot to head). In other words as you move from the foot of the sail to the head of the sail, the lift at any section of the sail will decrease. You do not want the lift to decrease linearly (1/2 way up the sail you have 1/2 the lift) bt rather you want to lift to decrease as if you were following the curve of an ellipse. Gradual at first and then steeper drop off near the head of the sail.
Here is a figure out of Marchaj showing what is meant by a lift distribution, and in fact an elliptical lift distribution:
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As you can see in this figure, there is more lift near the center of the wing than there is out a t the tips. The lift decreases as you get closer to the wing tips. But it does not decrease linearly. Rather it decreases lsowly at first, then more quickly near the tips so that the distribution looks like an ellipse.
Ignoring the foot gap, a sail is “half a wing” so the lift will be greatest near the foot and drop off to zero at the head.
Don’t let the fact that the wing in that figure is shaped like an ellipse draw you to any conclusions about what shape sail you need. Remember that you get lift at any point along the span of the wing or sail from 3 factors:
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total chord length
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camber (draft)
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angle of attack
So if your chord length at any particular spanwise location is shorter than an “elliptical” wing, then you need to generate more lift by adding either camber or angle of attack at that location.
So it is not about “the wind knowing that it is going around an ellipse”. It is about adding lift in some parts of the sail and taking away lift in other parts of the sail so that the distribution is elliptical.
This is why Whidden suggests that you need to add more camber at the top of the sail. The top of a normal triangular sail is shorter in chord than you need to produce an elliptical lift distribution. so by adding more camber near the head you can add more lift there to make up for the lack of sail area.
Again, I don’t feel like I am being clear. This is a third or 4th level abstraction from the air movement. First you need to understand how the wind creates lift (2-D aerodynamics). Then you need to understand what happens when you have a finite span wing (3-D aerodynamics). Then you can optimize that wing to get the minimum drag. It is really hard to jump in with both feet at the deep end of this pool without having waded into the shallow end and leaned about 2-D and 3-D aerodynamics first.
Take a look at Lester Gilbert’s treatment of aerodynamics:
2-D Aero: http://www.onemetre.net/Technicl/SailSect/SailSect.htm
More 2-D Aero: http://www.onemetre.net/Download/Downwash/Circul/Circul.htm
3-D Aero: http://www.onemetre.net/Download/Downwash/Momentum/Momentum.htm
And finally, more 3-D Aero: http://www.onemetre.net/Download/Downwash/LiftLine/Liftline.htm
Once you have gottne the jist of lifting line theory, come back to the figure I posted here and it should make more sense…
Will Gorgen