complex - pressure

[skook]

I have worked through potential/streamline function theory and conformal mapping during a final-year pre-graduate course. But was wondering whether there was a simple explanation for buoyancy in the same way as by integration around a surface in a vector pressure field (say hydrostatic). If it is possible to do this using a line integral around a closed contour, then there must be a singularity somewhere inside the contour.I can't quite see how this works.............. perhaps it's wrong. Anybody out there that can explain this in fairly simple terms?

cheers