Heat is uniformly generated at the rate of 2 × 10° W/m³ in a wall of thermal conductivity 25 W/m•K and thickness 60 mm. The wall is exposed to convec- tion on both sides, with different heat transfer coeffi- cients and temperatures as shown. There are straight rectangular fins on the right-hand side of the wall, with dimensions as shown and thermal conductivity of 250 W/m•K. What is the maximum temperature that will occur in the wall?

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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3.156 Heat is uniformly generated at the rate of 2 × 10°
W/m in a wall of thermal conductivity 25 W/m•K
and thickness 60 mm. The wall is exposed to convec-
tion on both sides, with different heat transfer coeffi-
cients and temperatures as shown. There are straight
rectangular fins on the right-hand side of the wall, with
dimensions as shown and thermal conductivity of
250 W/m•K. What is the maximum temperature that
will occur in the wall?
L;= 20 mm
I t = 2 mm
k = 25 W/m•K
q = 2 x 105 W/m3
h
= 50 W/m2•K
h, = 12 W/m²•K
T,1 =
= 30°C
8 = 2 mm
T 2 = 15°C
2L = 60 mm
%3D
kf = 250 W/m•K
Transcribed Image Text:3.156 Heat is uniformly generated at the rate of 2 × 10° W/m in a wall of thermal conductivity 25 W/m•K and thickness 60 mm. The wall is exposed to convec- tion on both sides, with different heat transfer coeffi- cients and temperatures as shown. There are straight rectangular fins on the right-hand side of the wall, with dimensions as shown and thermal conductivity of 250 W/m•K. What is the maximum temperature that will occur in the wall? L;= 20 mm I t = 2 mm k = 25 W/m•K q = 2 x 105 W/m3 h = 50 W/m2•K h, = 12 W/m²•K T,1 = = 30°C 8 = 2 mm T 2 = 15°C 2L = 60 mm %3D kf = 250 W/m•K
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