An incompressible irrational flow has complex potential omeg

An incompressible, irrational flow has complex potential omega(z) = Uz + mu/2piz, where U and mu are real positive constants. Explain why this can represent a two-dimensional flow about a circular cylinder of radius a = Squareroot mu/2piU centred at the origin, and deduce further that there are stagnation points at z = plusminus a. Find the direction of the flow at infinity, and find the speed on the surface of the cylinder as a function of the angle measured from this direction.

Solution

Ans :

click on below link u got the ans,,,,

https://www0.maths.ox.ac.uk/system/files/coursematerial/2015/2862/3/fluids2.pdf