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Complec potential and streamfunction

  1. Mar 4, 2010 #1
    1. The problem statement, all variables and given/known data
    The complex potential is:
    W = Uz + (m/2pi) [ln(z + a) − ln(z − a)]
    where z = x +yi
    Find the streamfunction

    3. The attempt at a solution
    The streamfunction is the complex part of the complex potential

    Psi = uy + (m/2pi)(ln(y+a) - ln(y-a))
    = uy + (m/2pi)ln((y+a)/(y-a))

    ,but the solution says:
    psi = uy - [tex]\frac{m}{2pi}[/tex]arctan((2ay)/(x^2+y^2-a^2))

    What am I doing wrong?

    I have tried comparing them with a = 0.5, x = 1, y =1 and do not get the same answer.
  2. jcsd
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