Example 11.24. Find the complex potential for an ideal fluid flowing
from left to right across the complex plane and around the unit circle |z| = 1.

Solution:

For illustration purposes, choose A = 1.

The inverse function of is .

We can use it to find the image of the flow.

A graph for the solution is:

Fluid flow around a circle.

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(c) John Mathews, 1998, 2006