Concept explainers
Interpretation: The volume rate of the flow of air in the duct and the horsepower output of the fan needs to be determined.
Concept introduction: The Energy balance across the fan is given by Bernoulli’s equation in which the sum of potential energy, kinetic energy and pressure energy is constant. The Bernoulli equation across 2 points of any system is given by:-
Here, P1 and P2 are pressures at 2 points of the system in Pascal.
v1 and v2 are velocities at 2 points of the system in m/s.
Z1 and Z2 are the locations of the inlet and outlet of the air.
The volumetric flow rate in the air duct is given as,
Q = Volumetric flow rate of air
A = Area of duct
v = Velocity of air at the outlet
The power output is given as,
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Chapter 6 Solutions
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