A representative cross-section of a 31.5-cm-thick wall is shown in the left figure below (not drawn to scale). The thermal conductivities of the materials used are shown on the right figure below. The left and right surfaces of the wall are maintained at uniform temperatures of 250°C and 41°C, respectively. Assuming that the heat transfer through the wall is one-directional, and that the representative height of layer C is 25.5 cm, determine (a) the thermal resistances for each section (A to G), (b) the temperature at the point where the sections ABCD meet, (c) the heat transfer rate per unit

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A representative cross-section of a 31.5-cm-thick wall is shown in the left figure below (not drawn to
scale). The thermal conductivities of the materials used are shown on the right figure below. The left
and right surfaces of the wall are maintained at uniform temperatures of 250°C and 41°C,
respectively. Assuming that the heat transfer through the wall is one-directional, and that the
representative height of layer C is 25.5 cm, determine (a) the thermal resistances for each section (A
to G), (b) the temperature at the point where the sections ABCD meet, (c) the heat transfer rate per unit
length across the wall, in kW/m (d) the temperature (in °C) where HI meet, (e) the temperature drop
т
across section CD, and (f) the total heat transferred (in kW) for a 7m-high and 5m-long wall.
A
a
b
C
d
e
E
dimension
2.0
4.0
5.5
9.0
11.0
(in cm)
f
i
3.0
3.0
6.0
2.5
12.0
В
F
A
В
C
E
H
value of k
3.0
7.5
23.0
2.0
3.0
(in W/m-C)
G
H
I
i
14.0
2.0
7.0
20.0
a
d.
e
Transcribed Image Text:A representative cross-section of a 31.5-cm-thick wall is shown in the left figure below (not drawn to scale). The thermal conductivities of the materials used are shown on the right figure below. The left and right surfaces of the wall are maintained at uniform temperatures of 250°C and 41°C, respectively. Assuming that the heat transfer through the wall is one-directional, and that the representative height of layer C is 25.5 cm, determine (a) the thermal resistances for each section (A to G), (b) the temperature at the point where the sections ABCD meet, (c) the heat transfer rate per unit length across the wall, in kW/m (d) the temperature (in °C) where HI meet, (e) the temperature drop т across section CD, and (f) the total heat transferred (in kW) for a 7m-high and 5m-long wall. A a b C d e E dimension 2.0 4.0 5.5 9.0 11.0 (in cm) f i 3.0 3.0 6.0 2.5 12.0 В F A В C E H value of k 3.0 7.5 23.0 2.0 3.0 (in W/m-C) G H I i 14.0 2.0 7.0 20.0 a d. e
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