RE: Predicting airflow pattern over a body
Lafayette,
Have to agree with BMathews. If you're playing with a new design with many unknown variables. There is no accurate mathematical way you can predict air movement within a three-dimensional space without spending a LOT of money. Think of it, even aircraft companies, Formula one racing teams, and car companies STILL use wind tunnels. Even they need help from a physical model. Not only do you have to solve for R, surface finish, etc, you will also need to solve for airflow that goes around the object at all angles since you don't have an infinitely long ramp, sideslip, airflow around the base where the ramp, etc. ...and that's just the beginning of your problems. Now solve for 3 dimensions.
One 'cheat' would be to use something like XFOIL or a really old version of SNACK. Pick a likely airfoil candidate and look for separation. Now make a model and test it on a wind or water tunnel.
Or, you can plow through 1000 pages of calc and trig. I did. BTW, on your other post with the picture of the formulas, if the formula is for this particular problem, it's the wrong one.