Question: 1. Analyze the flow having potential f(z) = KLog((z - a)/(z - b)) where K is a nonzero real number and a and b are distinct complex numbers. Sketch some equipotential curves and streamlines for this flow.
2. Let f(z) = k(z + (1/z)) with k a nonzero real constant. Sketch some equipotential curves and streamlines for this flow. Show that f models flow around the upper half of the unit circle.