Problem 1 In the Couette flow problem between two parallel plates, one of these is at rest while the other moves with speed u. The equation that models this flow is: dP du = l dx dy with boundary conditions: u(0) = 0 y u(2b) = U = 1 du Considering that the pressure does not change in the y direction, we have that dy dp is constant and therefore is also constant, let's say equal to fo. dx Solve the problem for fo = -6.0, b = 0.5 and = 1.0 using four non-uniform linear elements located on the sub-intervals bounded by yo = 0.0b, y = 4/5b, y2 =4/3b, y3=8/5b y y4=2b. Compare the finite element solution with the exact solution