Verify that the steady, two-dimensional, incompressible velocity field of Prob. 9–16 satisfies the continuity equation. Stay in Cartesian coordinates and show all your work.

Data from Problem 16

A steady, two-dimensional, incompressible velocity field has Cartesian velocity components u = Cy/(x² + y²) and v = –Cx/(x² + y²), where C is a constant. Transform these Cartesian velocity components into cylindrical velocity components u_r and u_θ, simplifying as much as possible. You should recognize this flow. What kind of flow is this?