Sketch the flow field for the potential function given by and stream function where K is a constant. Note that these are the interchanged functions for the vortex above. Depending on the sign of K,...

Sketch the flow field for the potential function given by

and stream function

where K is a constant. Note that these are the interchanged functions for the vortex above. Depending on the sign of K, the flow represents a source or a sink. The point at r = 0 is again a singularity. This type of mathematical description is sometimes used for flow of oil into a well bore from an underground formation. The solution is not good close to the well.