can be modeled as a cir one end of the duct pus ure of 105 kPa, temperat ere is a heating element C t the air to a temperatur

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Chapter6: Forced Convection Over Exterior Surfaces
Section: Chapter Questions
Problem 6.8P
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Problem 3
A hair dryer can be modeled as a circular duct of constant diameter equal to 30 mm in which a
small fan on one end of the duct pushes ambient air inside the duct. Right after the fan the air
has a pressure of 105 kPa, temperature of 20°C and a velocity of 8 m/s entering the duct. Inside
the duct there is a heating element (a resistor dissipating heat) in the path of air flow that is
used to heat the air to a temperature of 50°C with atmospheric pressure of 100 kPa at the exit
of the hair dryer. Determine:
The volumetric flow rate of air measured at the exit of the hair dryer, in m³/s.
A. 7.1x10-4 m³/s
B. 6.5x10-³ m³/s
C. 0.93 m³/s
D. 6.0x10-³ m³/s
The mass flow rate of air leaving the hair dryer, in kg/s
A. 7.1x10-4 kg/s
B. 6.5x10³ kg/s
C. 0.93 kg/s
D. 7.1x10³ kg/s
The velocity of the air at the exit, in m/s.
A. 7.1x10 ³ m/s
B. 10 m/s
C. 9.3 m/s
D. 6.0x10 ³ m/s
The amount of heat rate taken by the air.
A. 0.213 kW
B. 213 kW
C. 0.290 kW
D. 290 kW
Transcribed Image Text:Problem 3 A hair dryer can be modeled as a circular duct of constant diameter equal to 30 mm in which a small fan on one end of the duct pushes ambient air inside the duct. Right after the fan the air has a pressure of 105 kPa, temperature of 20°C and a velocity of 8 m/s entering the duct. Inside the duct there is a heating element (a resistor dissipating heat) in the path of air flow that is used to heat the air to a temperature of 50°C with atmospheric pressure of 100 kPa at the exit of the hair dryer. Determine: The volumetric flow rate of air measured at the exit of the hair dryer, in m³/s. A. 7.1x10-4 m³/s B. 6.5x10-³ m³/s C. 0.93 m³/s D. 6.0x10-³ m³/s The mass flow rate of air leaving the hair dryer, in kg/s A. 7.1x10-4 kg/s B. 6.5x10³ kg/s C. 0.93 kg/s D. 7.1x10³ kg/s The velocity of the air at the exit, in m/s. A. 7.1x10 ³ m/s B. 10 m/s C. 9.3 m/s D. 6.0x10 ³ m/s The amount of heat rate taken by the air. A. 0.213 kW B. 213 kW C. 0.290 kW D. 290 kW
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