A lifting flow can be generated by adding a free vortex to the flow about a circular cylinder just described. The stream function and the velocity potential now become,
Fig. 4.32 shows the streamlines for this flow.
Consequently the velocity components will be,
At r = a, the radial velocity is still zero allowing us to consider the same circular cylinder as the "body". The tangential velocity on the surface of the cylinder is given by,
The streamline pattern for this flow depend upon the location of the stagnation points given by,
The surface velocity can now be written as
(c) Aerospace, Mechanical & Mechatronic Engg. 2005
University of Sydney