Calculating Flow Volume: Real Analysis-Stokes or Complex Z' Technique:Preferred?? 1. The problem statement, all variables and given/known data Which technique, Stokes (real analysis) or the complex analysis, is preferred or considered the better for use in calculating the volume of flow through a bounded surface (heat, electro, fluid) in physical problems? 2. Relevant equations Stokes integral of (curl of field X dS/dZ) or absZ' = (dPhi/dX - dPhi/dy) = V and then use V to calculate volume of flow or flux, whichever. 3. The attempt at a solution I have no solid experience working with the complex variable function here but I could; however, I have lots with the Green and Stokes theorems. Which way would you go if you were going to do extensive work with physical phenomena and why?