Let f (z) = m ik 2 Logz a z b with m and k as nonzero,

Chapter 23, Problem 23.53

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Let f (z) = m ik 2 Logz a z b with m and k as nonzero, real numbers and a and b as distinct, complex numbers. Show that this flow has a source or sink of strength m and a vortex of strength k at both a and b. A point combining properties of a source or sink and a vortex is called a spiral vortex. Sketch some equipotential curves and streamlines for this flow.

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