1. Consider fully developed Couette flow: i.e. flow between 2 large (infinite) parallel plates separated by distance h, with the top plate moving and the bottom plate stationary as illustrated in the figure to the right. The flow is steady, incompressible, and two-dimensional in the XY-plane. The velocity field is given by V=(uo)- v% i +0j where V and h are constants and y is the distance from the immobile base. (a) Is this flow rotational or irrotational ? (b) If rotational, calculate the magnitude and direction of the vorticity (c) Do the fluid particles rotate clockwise or counter-clockwise? (d) Calculate the linear strain rates in the x and y directions (e) Calculate the shear strain rate(s) (f) Express the linear and shear strain rates as a 2x2 strain tensor (10 points) (10 points) (10 points) (10 points) (10 points) (05 points)