11. Velocity profile problem: A fluid flows with density 100 kg/m' and dynamic viscosity .025 N*sec/m' flows over a flat plate. Its free stream velocity is 10 meters/sec. a) Complete the following chart Distance x from leading edge (m) 0 1 4 9 Re(x) Boundary Layer Height (meters) Boundary Layer Height (cm) b) In the boundary layer, the fluid horizontal y = 8.75 cm 10 10 10 10 velocity is approximated by u(x, y) = y = 7.5 cm 10 10 18.3 () - 8.3 ()' m/sec. Outside the y = 6.25 cm 10 10 boundary layer, u(x, y) of course is equal to y = 5 cm 10 8.5 10 m/sec. Graph the velocity profile at x = 1 y = 3.75 cm 10 9.1 m, 4 m and 9 m after completing the following y = 2.5 cm 10 chart (where red entries are values of y = 1.25 cm 10 7.1 u(x, y) in - at (x,y)). Note: to compute y = 0 cm 0 x (m) 0 1 4 9 these values you will need to use your o's from part a). You can do this in excel - although you will need to do a couple of the calculations by calculator on Test 3). c) Determine the wall velocity gradient du/dy at x = 1 m and x = 9 m. d) Determine the shear of the plate on the fluid at x = 1 and x = 9 m (magnitude and direction). (Shear at x = 1 m = 18.3 N/m'; check out the Figure 9.11 which shows flat plate shear)