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Variation of Stagnation Points Around a Circular Cylinder With Circulation

For the flow with complex velocity functionthe stagnation points are the solutions towhere is such thatis the circulation of the velocity about the cylinder.

Ifthe stagnation points areand asvaries the stagnation points move around the cylinder. The streamlines and locations of the stagnation points for variousare shown below.

The equation of the streamlines is given by