3.48 A thin electrical heater is wrapped around the outer sur- face of a long cylindrical tube whose inner surface is maintained at a temperature of 5°C. The tube wall has inner and outer radii of 25 and 75 mm, respectively, and a thermal conductivity of 10 W/m K. The thermal con- tact resistance between the heater and the outer surface of the tube (per unit length of the tube) is R = 0.01 m K/W. The outer surface of the heater is exposed to a fluid with To = -10°C and a convection coefficient of h= 100 W/m² K. Determine the heater power per unit length of tube required to maintain the heater at T, = 25°C.
3.48 A thin electrical heater is wrapped around the outer sur- face of a long cylindrical tube whose inner surface is maintained at a temperature of 5°C. The tube wall has inner and outer radii of 25 and 75 mm, respectively, and a thermal conductivity of 10 W/m K. The thermal con- tact resistance between the heater and the outer surface of the tube (per unit length of the tube) is R = 0.01 m K/W. The outer surface of the heater is exposed to a fluid with To = -10°C and a convection coefficient of h= 100 W/m² K. Determine the heater power per unit length of tube required to maintain the heater at T, = 25°C.
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:3.48 A thin electrical heater is wrapped around the outer sur-
face of a long cylindrical tube whose inner surface is
maintained at a temperature of 5°C. The tube wall has
inner and outer radii of 25 and 75 mm, respectively, and
a thermal conductivity of 10 W/m.K. The thermal con-
tact resistance between the heater and the outer surface
of the tube (per unit length of the tube) is R₁ =
0.01 m K/W. The outer surface of the heater is exposed
to a fluid with T = -10°C and a convection coefficient
of h= 100 W/m².K. Determine the heater power
per unit length of tube required to maintain the heater at
T₂ = 25°C.
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