Was doing some research to try and give me an idea about the thermal conduction / convection going on inside the motor to help figure out the bottleneck. This is just some stuff I came up with.
Different materials have different thermal conductivity values for example: W/mk
Aluminum 205
Iron or steel 40-60
Water .6
FF .1-.15
motor oil .15
Air .024
From a conductive standpoint Ferro Fluid offers about 4x-6x benefit over air. That is from conduction and not convection. This would basically mean that FF would help conduct the heat to the motor shell about 4 to 6 times faster than air/no FF.
I guess you can assume the FF is providing both conduction and forced convection as the oil will be flowing as the motor turns.
Because oil is such a bad conductor, better than air, but by no means as fast as metals, it would seem that FF could be the potential bottle neck. This is why they lap heatsinks to try and make them perfectly flat to lessen the need for thermal paste which is also a bad conductor. Air is an extremely bad conductor as we know and why FF works much better, but FF is really not that much better than air when you need a good thermal transfer of heat.
At first I thought maybe it was the steel magnet ring conduction causing the bottle neck, as it is thick, but from online calculators, the magnet ring would be able to shed something like 12,000 watts of heat from very rough thermal transfer calculations. Therefore this is not going to cause a thermal bottle neck.
It would seem that the FF is acting as a thermal bottleneck, being that it has to bridge a very large gap, using an oil which is about 400-600 times less conductive as steel when transferring heat. Bascially, oil or FF is a crappy thermal conductor, but still better than air.
What also is interesting is that you would think the bottle neck would arise in the windings to stator transfer. However, this does not seem to be the case because the stator seems to suck all the heat up until the stator gets too saturated with heat. This is because you can full throttle the ebike for a very long time on a cold motor before the windings get hot.
Justin also potted the windings to the stator, trying to fill in all the air gaps around the windings, and this offered almost no benefit with the FF/satoraide.
I would assume this is because the windings are wrapped tightly around the stator at enough points to transfer the heat to the stator fast enough, even though the windings are separated by plastic and fiberglass which are also bad conductors. I would still bet there is a thermal bottleneck here also, but not nearly as bad as the stator to magnet gap.
The questions still remain is how much forced convection is happening with the FF when the hub motor is spinning.
What would also be a very good test is if someone filled their hub motor with water if that is possible. Water offers about 6 times the thermal conductivity of FF. This would offer a huge increase in thermal transfer over FF and possibly show if FF is limiting the thermal transfer of heat to the exterior of the motor. However, I'm not sure if this would work because the FF sticks to the magnets all around the hub while the water would flow to the bottom? Basically, FF has the advantage of bridging the entire stator to the magnet ring, while water would only partially bridge the stator.
