Chapter 5, Problem 54P

Consider the two-dimensional flow field in which u = Ax² and υ = Bxy, where A = 1/2 ft^-1·s^−l, B = − 1 ft⁻¹·s^−l, and the coordinates are measured in feet. Show that the velocity field represents a possible incompressible flow. Determine the rotation at point (x, y) = (1, 1). Evaluate the circulation about the “curve” bounded by y = 0, x = 1, y = 1, and x = 0.