A two dimensional diverging duct is being designed to diffuse the high speed air existing a wind tunnel. The x-axis is the centerline of the duct (it is symmetric about the x-axis), and top and bottom walls are to be curved in such that the axial wind speed u decreases approximately linearly from u1 = 300 m/s at section1 to u2 = 100 m/s at section2 (Fig. P9-38). Meanwhile, the air density ρ is to increase approximately linearly from ρ1= 0.85 kg/m3 at section 1 to ρ2= 1.2 kg/m3 at section 2. The diverging duct is 2.0m long and is 1.60m high at section1 ( only the upper half is sketched in Fig. p9-38; the half height at section 1 is 0.80m) a. Predict the y-component of velocity, v(x,y), in the duct b. Plot the approximate shape of the duct, ignoring friction of the walls c. What should be the half height of the duct at section 2?
9-38 A two dimensional diverging duct is being designed to diffuse the high speed air existing a wind tunnel. The x-axis is the centerline of the duct (it is symmetric about the x-axis), and top and bottom walls are to be curved in such that the axial wind speed u decreases approximately linearly from u1 = 300 m/s at section1 to u2 = 100 m/s at section2 (Fig. P9-38). Meanwhile, the air density ρ is to increase approximately linearly from ρ1= 0.85 kg/m3 at section 1 to ρ2= 1.2 kg/m3 at section 2. The diverging duct is 2.0m long and is 1.60m high at section1 ( only the upper half is sketched in Fig. p9-38; the half height at section 1 is 0.80m)
a. Predict the y-component of velocity, v(x,y), in the duct
b. Plot the approximate shape of the duct, ignoring friction of the walls
c. What should be the half height of the duct at section 2?
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images
