Awesome calculations, thanks
A query: If you run across the comments of "Savitsky, Koelbel and others" suggest " a spray downwards should be limited to about 15 degrees" could you send me a link.
The math suggests the maximum is obtained at 180 degrees.
Certainly there will be a optimum, not maximum, of the difference between the inlet angle to the exit angle as when the return gets to be close to 180 degrees, that the Force component at 90 degrees to the center of the Vane reduces as it approaches 180 diminishes. ie normal force gained per degree of change
Oh yes, you're correct about the deflection for maximum lift and it might be ok for rails in the tunnel. But if you succeed in turning the flow 180 degrees, the spray film will hit the surface with the maximum velocity, which will generate a lot of "secondary" spray, making for a wet journey. I'll dig into the litterature sediments and come back with ref..; will take some time, now the grandchildren are filling the house for holiday celebrations......