Chapter 5, Problem 57P

A two-dimensional flow field is characterized as u = Ax² and v = Bxy where $A=\frac{1}{2}{\text{m}}^{-1}{\text{s}}^{-1}$ and $B=-1{\text{m}}^{-1}{\text{s}}^{-1}$, and x and y are in meters. Demonstrate that the velocity field represents a possible incompressible flow field. Determine the rotation at the location (1, 1). Evaluate the circulation about the “curve” bounded by y = 0, x = 1, y = 1, and x = 0.