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Calculate the rate o.f change of area with respect to distance along the diffuser length

The wind tunnel in Probs. 4.49 and 4.50 has a diffuser that is slightly rounded at the inlet (a sharp comer at the inlet in a subsonic flow will cause undesirable flow separation), and then diverges with straight upper and lower walls, each at 15° relative to the horizontal. Calculate the rate o.f change of area with respect to distance along the diffuser length (ignore the slightly rounded entrance). Probs. 4.49 Consider a low-speed wind tunnel (see Fig. 4.15) that is a constant width of2 m throughout its length (i.e., each cross section of the tunnel is a rectangle of width 2m). The entrance and exit heights of the nozzle are 4 m and 0.5 m, respectively. The airflow velocity in the test section is 120 mph. Calculate the airflow velocity in m/sec at the entrance to the nozzle. PROB. 4.50. The air pressure in the reservoir of the tunnel considered in Prob. 4.49 is 1 atm. Calculate the pressure in the test section in N/m2• Assume that the air in the tunnel is at standard sea-level density.

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