Air flows down a variable area duct. Measurements indicate that the pressure is 80 kPa, the...

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Air flows down a variable area duct. Measurements indicate that the pressure is 80 kPa, the temperature is 5C, and the velocity is 150 m/s at the entrance of the duct (section 1). Estimate, assuming incompressible flow (Bernoulli's equation), the (a) velocity and (b) pressure at section 2 of the duct, where the duct area is half that of section 1 (A2 = 0.5A). Use the ideal gas law to determine density in both sections and (c) comment on the validity of the incompressible flow assumption in this situation. Air flows down a variable area duct. Measurements indicate that the pressure is 80 kPa, the temperature is 5C, and the velocity is 150 m/s at the entrance of the duct (section 1). Estimate, assuming incompressible flow (Bernoulli's equation), the (a) velocity and (b) pressure at section 2 of the duct, where the duct area is half that of section 1 (A2 = 0.5A). Use the ideal gas law to determine density in both sections and (c) comment on the validity of the incompressible flow assumption in this situation.

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