(b) A flat plate is mounted in a wind tunnel, at zero angle of attack toward a uniform air flow of U∞ = 90 m/s at standard sea-level conditions (p∞ = 1.225 kg/m³, µ∞ = 1.7894×10‍5 kg/m·s). (i) (ii) (iii) (iv) Use the transition criterion Rex.cr = 5×105 to determine where the laminar-turbulent transition will occur in the boundary layer. (3 marks) Assuming the boundary layer is fully turbulent, calculate its thickness 8 at x = 1.0 m from the leading edge. (4 marks) If in the boundary layer the streamwise velocity varies with the 1/7th power law [i.e., u/U∞ = (y/6)17], calculate the difference between the stagnation pressure and the static pressure at a location x = 1.0 m and y = 8/2, which can be measured using a Pitot-static probe. Is this boundary layer flow rotational or irrotational? (5 marks) (3 marks)