# A Potential corner flows

1. Nov 5, 2016

### joshmccraney

Hi PF!

Attached is a very small piece of my professor's notes. I would write it out here but you need the picture. Referencing that, $z$ and $\zeta$ are complex variables, the real components listed on the axes, where the vertical axis should have the imaginary $i$ next to it. What I don't understand is how he arrives at the red box. From what I can understand, looking at the second $z$ and $\zeta$ definitions and substituting one in for the other through the variable $r$ we have $$z = \zeta e^{-i \pi+i\theta_0}$$ but from here I don't see how to arrive at the boxed in piece. Any help would be awesome!

I should say I searched everywhere online but no one showed the derivation.

#### Attached Files:

• ###### Screen Shot 2016-11-06 at 12.22.53 AM.png
File size:
57.8 KB
Views:
38
2. Nov 11, 2016