Select to expand quote
Ian K said..A bit more maths. The leverage a rider has on a boom goes up with the riders mass to the power of 4/3. (assuming all riders have the same BMI)
The leverage a sail has on the boom goes up with sail area to the power of 3/2 (assuming equal loading per square metre for all sails)
Then the maximum size sail a rider can use goes up with the power of 2/3 X 4/3 = 8/9. That's the point, if the sail size goes up with the rider mass to a power less than 1 lift will start to fall behind, and eventually overtake the other factors, that appear at this stage to favour heavier riders.
So using Sailquik at 75kg? as the reference, when he's on a 5.0 someone weighting 90kg should be on a 5.0 X (90/75)^8/9 = 5.9 sq metre sail
The 163 kg basketballer
www.nytimes.com/2008/01/09/sports/ncaabasketball/09asheville.html?_r=0will be on a 5.0 X (163/75)^8/9 = 10.0 square metre sail
So even though the basket baller is 2.2 times heavier, he can only hold down double the sail size.
However, the cross sectional area of the basketballer has only gone up by 2.2 ^2/3 = 1.68. That's a significant saving in parasitic drag for double the sail power. So the relative saving on parasitic drag may possibly over-ride the relative loss of leverage for the larger sailors.
I still can't follow the premise behind you calculations Ian,

but the relativity you came up with has a lot of observed data to back it up.
EG: While I was doing my max speeds on my 5m sail ay Luderitz, the big guys were almost all using 5.8m sails to do their best speeds.
Can I suggest you take the other direction using scientific method. Look at the very well known observed facts among speed windsurfers (*Taller is faster, heavier is faster, Taller and heavier is much faster - all else being equal - or as close as we can tell to equal).
Take those very well made real world observations regarding size and speed and try to find the explanation for them. You seem to have started with a feasible explanation about body drag, but most speed sailors don't seem to think body drag is significant, or at least not very significant. Various devices and strategies have been tried to reduce body drag and, to my knowledge, no useful gains have been realized.
I have seen diagrams and force calculations in the hazy past that seemed to explain this* phenomenon, but I have no idea where to find them now.
AB stated somewhere that he thought, for his size, slightly smaller 5.6 - 5.4m sails would prove fastest in the ideal wind and water conditions. His explanation was that the drag would be less (Better lift to drag ratio). This also supports my observations that guys my size often do their best speeds on 4.4m to 4.6m sails when conditions are ideal. I came to the conclusion that a better lift to drag ratio (possibly combined with a lower center of lift - and so more 'efficient leverage') is responsible.
However, it is important to keep in mind that there are many conditions and competing factors that mean we cannot always get optimum efficiency in a given environment.
Eg. at Sandy Point on a classic WSW, one has to be able to survive sailing square to the wind and progressively onto a tight reach before one can get to the optimum angle for top speed. It is very difficult to control the optimum speed sized sail for the optimum angle on this tight angle run in without being lifted off the water or smashed! So we often have to run a smaller sail than what might otherwise be optimum, just to get into the course.
At Luderitz, I was using at least half a meter larger sail than I would be able to at Sandy Point in the same/similar wind because the start area there is in a bit of a wind shadow. You
can handle the larger sail in the run in (and indeed need it just to get started) and only have to deal with the full force of the wind for a few moments as you round the bend on the bearaway. (Unbelievably exhilarating accelleration!

)
The general principle of 'taller and heavier is faster' is so well observed though, that there is no question about it. It would be nice to have some good theories that attempt to explain this observation.