Assignment:
Q1. Show that if b < a the conformal transformation ξ = z + b2zmaps a circle of radius 'a' in the z plane into an ellipse in the ξ plane.
Q2. Show that the velocity on the surface of an ellipse in a uniform horizontal flow of velocity U reaches a maximum when Θ = 90 degrees and has a magnitude of,
qξ = U(m +1)/m, where m is the ration given by ( a + b2/a) / ( a - b2/a)
Q3. Determine the velocity on the surface of the ellipse when Θ = 45°.
Provide complete and step by step solution for the question and show calculations and use formulas.