Problem

Consider fully developed Couette flow-flow between two infinite parallel plates separated...

Consider fully developed Couette flow-flow between two infinite parallel plates separated by distance h, with the top plate moving and the bottom plate stationary as illustrated in Fig. P11-43. The flow is steady, incompressible, and two-dimensional in the xy-plane. The velocity field is given by

Is this flow rotational or irrotational? If it is rotational Caluclate the vorticity component in the z-direction. Do fluid particles in this flow rotate clockwise or counterclockwise