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SunnyBouy said..
It's a similar problem for windsurfing fins, the quicker you go the fins cavatate (sp) and draw tiny molecules of air off the back of the fin and those molecules rub together and create the noise.
For windsurfing, it was ventilation (cavitation can only happen above 50knots and destroys even metal propeller blades, so no, no surfing fin ever experienced cavitation. You would see small craters on the fin). Ventilation is when the low pressure on the side of the fin could suck up air from the surface, killing instantly the lift for a spectacular high speed spinout crash. The solution was more in fin placement and board tail & rail shape so that the board could act as a lid to isolate the fin from the surface. It can happen in surfing or SUPing if you do not bank the board enough in turns and the rails stays closer to the surface... happened to me last week, the feeling is unmistakable, just as if your fins were instantly removed.
Humming noise has nothing to do with air. It is the (pure water) trailing vortex that oscillate and creates an oscillating force that make the fin material vibrate (air would dampen this force), reducing its efficiency by messing with the laminar flow. A perfectly sharp trailing edge will lock the vortex in place, but will cut you to the bone (or more). Locking the vortex to one side of a blunt trailing edge is a safe, working solution.