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Find the critical points of the joukowski transformation

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Reference no: EM131588344

Question: 1. Show that the Joukowski transformation maps a circle at the origin in the Z-plane of radius ½(a +b) into an ellipse of semi-axes a, b in the z-plane, given the parameter relation c2 = a2 - b2.

2. Find the critical points of the Joukowski transformation, and (using local polar coordinates) investigate the character of the transformation in the neighborhood of the singular point.

Reference no: EM131588344

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