Example 11.25. Consider the complex potential
for an ideal fluid flowing from left to right across the complex plane slit along the
segment from z = -i to z = i.

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 vertical segment.

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(c) John Mathews, 1998, 2006