Hi Rob

Case 1: Thanks I think tried to do that, I got this type of mesh. I am not sure what to do ahead. I have attached top view of the mesh and geometrical drawing too. Not sure how to remove the destortation between the source and sink circle. 

B Case 2:

I thought to break the problem more into the curve I still see some mesh still haveorthogonality issue. any suggestion on that I just use the edge and sweep in the mesh for the below one. I also use the curvature one.