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Chapter 2
Heat Conduction Equation
2123E
A large plane wall is subjected to a specified temperature on the left (inner) surface and solar
radiation and heat loss by radiation to space on the right (outer) surface. The temperature of the right
surface of the wall and the rate of heat transfer are to be determined when steady operating conditions are
reached.
Assumptions
1
Steady operating conditions are reached.
2
Heat
transfer is onedimensional since the wall is large relative to its
thickness, and the thermal conditions on both sides of the wall are
uniform.
3
Thermal properties are constant.
4
There is no heat
generation in the wall.
q
solar
x
520 R
L
T
2
Properties
The properties of the plate are given to be
k
= 1.2
Btu/h
⋅
ft
⋅
°F and
ε
= 0.80, and
α
s
=
045
.
.
Analysis
In steady operation, heat conduction through the wall must
be equal to net heat transfer from the outer surface. Therefore, taking
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 Fall '10
 Dr.DanielArenas
 Thermodynamics, Mass, Heat, Radiation

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