jonesmb said... Ian K said...
The fin can only see the water going past, it has no idea what's going on up top.
This is what I used think i.e. same board speed should require same size fin regardless of the sail used ... but the direction of the force up top changes (for different wind speeds but matched board speed) and this in turn must be balanced by the fin. So in a way the fin does "know". Compare the case of a board holding a reaching course at a speed=20knots, for the case of wind=15knots compared with in wind=30knots. For the first case you effectively point higher into the "apparent wind" and therefore require more lift force from the fin (for same course and speed), either you set the fin at a higher angle of attack (but keep spinning out) or you increase fin area. So fin size (area) is related to wind speed because of the change in apparent wind direction.
An idea anyway...
That's a good point!
I think what your getting at is the lift/drag ratio of the sail plays apart, in the sideways force, that must be counteracted for the board to track in a straight line. Maybe

In your example, the board is travelling 20knots across the wind, in the former case there is 15knots of wind which if not for the friction between the water and board would send it downwind at 15knots. In the later case the wind the force is 4 times greater trying to send you downwind at 30knots.
Unless newton is a liar in both cases you have to counteract that force.
The lift/drag ratio of a foil increases, as the angle of attack is increased, and then it reduces before the maximum amount of lift is reached. From memory the max L/D occurs around 4 degrees for 'normal' foils.
This would account for there being an optimum fin size for a given sail size. Or perhaps it should be 'there is a optimum fin size (with its lift/drag ratio) for a give sail size to give an ideal (lift/drag ratio) for the sail. But its obviously very complex to work it all out. I can't