Whoa, I posted that image as a joke in reference to the length of my original post.
Trebuchet03 is right as it's the Navier-Stokes equation derived in the spherical coordinate system. I ripped the image from Wikipedia solely because it looked like a jumble of incoherent equations.
I couldn't tell you what the equation meant as I stopped my math at vector calculus.
It was a joke. I might as well have posted Einstein's derivation of E=mc^2 in tensor calculus...
I don't profess to have mastered aerodynamics or mathematics. After a lot of effort spurred by my own curiousity, I felt I had finally gotten a firm understanding of the boundary layer in layman's terms. My only intent for this post was to help some people save the aggravation of getting a straight, thorough, firm understanding of what had been a question mark in my mind for years.
- LostCause