(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Homework Help: Complec potential and streamfunction

Can you offer guidance or do you also need help?

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