Im not sure you can really solve it all very well by hand. I think its gotta be done computationally really. lots of ittereations.

Not too sure of the equations but its gonna be bernuouli and momentum equations I'd gess.

Lotus have some cool software that I saw once, they might help you if you ask, but most likely would just offer to sell you the soloutions, which probably isnt a bad idea.

JAmes.