Consider 2D incompressible viscous flow between two parallel walls, as illustrated below. Assume steady, fully-developed flow with no body forces, so that the solution is Poiseuille flow (dp/dx constant) with the velocity profile given in the figure. y = h u(y) = = U (1 - 1/2) P y=-h U = h2 dp 2 dx L Y My p(x) = Po + dx 2 I a) Compute the stress tensor, , as a function of position (x, y). b) Verify that the integral conservation of momentum equation holds for the control vol- ume enclosed by the contour C in the figure. c) Show that the circulation for contour C is zero. Does this mean that the vorticity inside C is zero? Explain why or why not and include any supporting calculations.