Share
Explore BrainMass

Incompressible flow around a cylinder

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

Attachments

Solution Preview

Hello and thank you for posting your question to Brainmass!
The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word format, while the other is in Adobe ...

Solution Summary

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.

$2.19