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
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
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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
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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Step 1: Write the given data with suitable variables-
VIEWStep 2: Determine the value of volumetric flow rate the exit
VIEWStep 3: Determine the value of mass flow rate of air leaving the hair dryer
VIEWStep 4: Calculate the velocity at the exit
VIEWStep 5: Find the value of heat transfer.
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