Q2A) An electric motor casing (Fig. 2A) made of cast steel (k = 60 W/m.K) has a diameter of 36 cm and a length of 40 cm. A number of fins of the same material are provided to dissipate 400 W of heat to surrounding air at 30 °C with convection coefficient of 10 W/m². K. Each fin, 8 mm thick with a radial length of 10 mm, runs the entire length of the motor casing which has a surface temperature of 60 °C. Determine number of fins needed, temperature at centre of fin, the percentage increase in heat-dissipation rate due to addition of fins, and fin efficiency. T 1=0.4m Fig. (2a) D= 0.36m = 8mm T=60°C (x=60W/m˚C): Electric motor casing W=0.4m Air h=10W/m2°C T_=30°C 111 A typical fin L=10mm
Q2A) An electric motor casing (Fig. 2A) made of cast steel (k = 60 W/m.K) has a diameter of 36 cm and a length of 40 cm. A number of fins of the same material are provided to dissipate 400 W of heat to surrounding air at 30 °C with convection coefficient of 10 W/m². K. Each fin, 8 mm thick with a radial length of 10 mm, runs the entire length of the motor casing which has a surface temperature of 60 °C. Determine number of fins needed, temperature at centre of fin, the percentage increase in heat-dissipation rate due to addition of fins, and fin efficiency. T 1=0.4m Fig. (2a) D= 0.36m = 8mm T=60°C (x=60W/m˚C): Electric motor casing W=0.4m Air h=10W/m2°C T_=30°C 111 A typical fin L=10mm
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Transcribed Image Text:Q2A) An electric motor casing (Fig. 2A) made of cast steel (k = 60 W/m.K) has a diameter of
36 cm and a length of 40 cm. A number of fins of the same material are provided to dissipate
400 W of heat to surrounding air at 30 °C with convection coefficient of 10 W/m². K. Each fin,
8 mm thick with a radial length of 10 mm, runs the entire length of the motor casing which has a
surface temperature of 60 °C. Determine number of fins needed, temperature at centre of fin, the
percentage increase in heat-dissipation rate due to addition of fins, and fin efficiency.
T
1=0.4m
Fig. (2a)
D= 0.36m = 8mm
T=60°C
(x=60W/m˚C):
Electric motor
casing
W=0.4m
Air
h=10W/m2°C
T_=30°C
111
A typical fin
L=10mm
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