BullroarerTook said..
I love this topic. Here's another related question: assume I have a 90cm fuse with the front foil 20 cm in front of the mast and everything feels balanced. Now shift the fuse forward 10 cm without making it longer. It seems to me that the front foil has more leverage and should get smaller, but the stabilizer has less leverage and should get larger. Is that right? Or should the stabilizer stay the same because it's the same distance to the front foil?
Interesting question! The windfoil setup is amazingly complex, with different levers to consider.
One way to look at front foil and stab is that the stabilizer determines the angle of attack. For this, we can ignore where the mast is attached. In stable flight, total lift is constant, so a larger AoA means stable flight can be reached at lower speeds. Therefore, we use + shims in light wing, and - shims in high wind (although some companies use the +/- in reverse).
For the racing setups, moving the front wing further forward has resulted in using "less powerful" stabs - smaller and/or lower angles. The goals of the "foil forward" design changes were take off in less wind and faster speed. Both are accomplished because a lower AoA also means less drag. In your thought experiment, with everything else being kept equal, moving the mast forward should then also be accompanied with using negative shims on the stab (for a flatter stab).
What's missing from the discussion above is how the downward forces from the "three feet" influence angle of attack. Shifting weight forward, from the back foot to the front foot or the mast foot, reduces the angle of attack. So an ancient race fuse with the front wing close to the mast needed more powerful stabs (angle and area), since it had less leverage. Effectively, you're buying the balanced feeling with extra drag.
All that raises questions about control. Why can racers control the faster foils with a lower angle of attack if the front wing has more leverage? Not sure what the answer is, but one candidate is the position in the lift vs. AoA curve. If we assume that a certain weight shift changes the AoA by a given amount, then the effect of this weight shift will depend on where we are in the AoA curve. Lift curves then to be close to straight lines in the relevant range. If your AoA in the initial setup is 5 degrees, and you shift weight forward to reduce the angle by 1 degree, that will lead to a reduction in lift by about 1/5th. But if you started out at at 3 degrees and reduce the angle by 1 degree, the drop in lift is about 1/3rd, or 33% vs. 20%. In other words, to get the same reduction of lift, a smaller change of angle in attack would be needed, so the foiler can get away with less leverage over the front wing. Just a theory, but perhaps it is correct.