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Incompressible flow around a cylinder

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Verify that the potential

Phi = U (r +a^2/r)*cos(theta)-2U*a*theta can represent such a flow about a solid cylinder of radius a.
Find the tangential velocity at the surface of the cylinder.
Use Bernoulli's equation to show that the pressure field is given by:

p(a,theta) = C - 2*rho*U^2*(sin^2 theta + 2sin theta)

Find teh force exerted by the fluid on the cylinder in the y direction

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The file contain 6 pages of full derivations of the fluid flow potential about a cylinder and how to derive the other quantities required in the problem.