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Calculating Flow Volume: Real Analysis-Stokes or Complex Z' Technique:Preferred?

  1. Aug 9, 2008 #1
    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?
  2. jcsd
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