Air with a viscosity of 1.8105 N-s/m2 and density of 1.20 kg/m is flowing steadily in...

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Air with a viscosity of 1.8×105 N-s/m²2 and density of 1.20 kg/m³ is flowing steadily in a channel formed by two large plates. The channel is diverging slowly such that the velocity outside the boundary is uniform and constant at 5 m/s along the channel. The entrance height is 1m. Assume incompressible laminar flow and use the momentum integral method for the following: Assume the boundary layer along the top and bottom plates can be approximated as u = 2n-2n³ + n², where y U a) (5%) Find an expression for the displacement thickness, 8 (as a function of boundary layer thickness, 8). b) (5%) Find an expression for the momentum thickness, 0 (as a function of 8). c) (5%) Find 8/x as a function of Reynolds number, Rex d) (5%) Find the height of the tunnel as a function of position (such that the velocity outside the boundary is uniform and equal to 5 m/s along the channel.) Air with a viscosity of 1.8×105 N-s/m²2 and density of 1.20 kg/m³ is flowing steadily in a channel formed by two large plates. The channel is diverging slowly such that the velocity outside the boundary is uniform and constant at 5 m/s along the channel. The entrance height is 1m. Assume incompressible laminar flow and use the momentum integral method for the following: Assume the boundary layer along the top and bottom plates can be approximated as u = 2n-2n³ + n², where y U a) (5%) Find an expression for the displacement thickness, 8 (as a function of boundary layer thickness, 8). b) (5%) Find an expression for the momentum thickness, 0 (as a function of 8). c) (5%) Find 8/x as a function of Reynolds number, Rex d) (5%) Find the height of the tunnel as a function of position (such that the velocity outside the boundary is uniform and equal to 5 m/s along the channel.)