Having visited The Denny ship model experiment tank at Dumbarton at the weekend (The Scottish Maritime Museum) can I throw a large 'spanner' and suggest that the formulae to calculate ship resistance and powering might be similar to the 'slippery' ponderings you are having?
William Froude's laws maybe applicable. I quote "Froude considered that the total resistance (Rt) of a model or ship could be subdivided into two parts with little interaction, and each part being subject to different scaling laws i.e. resistance due to skin friction (Rf) and resistance due to wave making known as residual resistance (Rr), such that Rt = Rf + Rr. (J Craig Osborne, 25th, January, 2007)".
There are then Froude's empirical formula for frictional resistance Rf = f A V
1.825 and further proportional relationships, with speed being the square roots of two vessels lengths and the resistance of the two vessels being the cubes of similar dimensions. These are all summarised from the pamphlet purchased at the museum.
Can you treat air the same as a liquid? Because, I perceive them to be similar in their movement when an object passes through them. The mathmatics appear simple, but I do not know if they are applicable?
Maybe reference to something in this 'Google' search will do the job; "wind tunnel simulator".
All of it way beyond my CSE Maths of 45+ years ago!

Good luck with your deliberations and hypothesis.
My regards, Bill