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Complex Potential

  1. Dec 10, 2005 #1
    I need to find the streamfunction of the complex potential
    F(z)=U(z^2 + 4a^2)^1/2, where U and a are constants and z=x+iy. I can't figure out how to separate the real and imaginary parts in order to isolate the streamfunction from the velocity potential. Thanks in advance for any help!
  2. jcsd
  3. Dec 11, 2005 #2
    Just write the equation as


    Just write out z and you will find R and theta.

    then use the identity k*e^(i*theta) = k*(cos(theta) + i*sin(theta))

    that way you seperate the potential = k*cos(theta)
    and the streamfunction is k*sin(theta)

    Sorry that I didn't use latex, it can get confusing
    let me know if this helped you out or not
  4. Dec 11, 2005 #3
    Thank you, Jaap de Vries, for responding to my question. Your answer is very helpful. Thanks again!
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