Consider flow over a flat plate, Figure 1. Flow is uniform with velocity Up when it hits the plate, and atop the plate, a laminar boundary layer forms. Flow outside the boundary layer is uniform with velocity U₁. A one-dimensional approximation of the velocity profile in the boundary layer is U(y) = U₁ (2y y2) 88 where & is the boundary layer thickness and y is the vertical distance above the plate. A streamline at height h above the flat plate enters the boundary layer at a point coincident with the end of the plate L. The fluid is air at standard temperature and pressure with U₁ = 100 m/s. The height of the capture layer is h = 10 cm. Assume flow is one-dimensional (U, = 0). a) What is the boundary layer height 8? (5 points) b) What is the drag force per unit width experienced by the plate? (15 points) 1