The 64-W fan in an aircraft environmental system is to circulate air through the ducting. An analysis of the flow shows that the fan needs to raise the pressure of air by 47 Pa to maintain flow. The fan is located in a horizontal duct with a circular cross-section whose diameter = 30 cm at both the inlet and the outlet. Determine the highest possible average flow velocity in the duct. Give your answer in m/s. Assume the fan operates steadily and that the changes in kinetic and potential energies across the fan are negligible.
The 64-W fan in an aircraft environmental system is to circulate air through the ducting. An analysis of the flow shows that the fan needs to raise the pressure of air by 47 Pa to maintain flow. The fan is located in a horizontal duct with a circular cross-section whose diameter = 30 cm at both the inlet and the outlet.
Determine the highest possible average flow velocity in the duct. Give your answer in m/s.
Assume the fan operates steadily and that the changes in kinetic and potential energies across the fan are negligible.
Note: I start this one by finding the volumetric flow rate from the work input and the pressure rise. Then I divide that by the cross-sectional area of the duct to get velocity.
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