A Problem on the adjustable screw

Have you tried using a helical sweep with a variable pitch?

Looked at your DWG quickly. All the note text was unreadable for some reason, but I could read the drawing. Looked to me as if this was a 2D-only design, because it didn't really look like a view of a full 3D model, yes? If I understand correctly, the spiral is a thin blade of a tapered auger. It also looks as if its section is tapered. As to the variable pitch, the way the drawing is dimensioned doesn't really tell me what's going on. In other words, the pitch could suddenly change to a new value at each of the dimensioned positions (360 degrees of revolution)--which I doubt--or it could be a continuously variable pitch that yields the dimensions shown. Can you clarify this a little bit more???