Originally Posted by ShoeDLG
Your train of thought is difficult to follow because you are mixing reference frames. I'm not sure what you mean by "Bernoulli can not apply", but the relationship:
total pressure = static pressure + dynamic pressure
does not apply in an unsteady flow. Are you having trouble opening the .pdf?
I may have been a little sloppy there, but fluid accelerations are only related to still air and the only way we can locate differences is related to a still cylinder.
I plugged 45deg into the first still air equation and came up with zero.
I do not believe that there is any way that calculus can squeeze pressure change out of fluid that is not changing velocity.