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Chapter 2
Heat Conduction Equation
265
A large plane wall is subjected to specified heat flux and temperature on the left surface and no
conditions on the right surface.
The mathematical formulation, the variation of temperature in the plate,
and the right surface temperature are to be determined for steady onedimensional heat transfer.
Assumptions
1
Heat conduction is steady and onedimensional since the wall is large relative to its
thickness, and the thermal conditions on both sides of the wall are uniform.
2
Thermal conductivity is
constant.
3
There is no heat generation in the wall.
Properties
The thermal conductivity is given to be
k
=2.5 W/m
⋅
°C.
Analysis
(
a
) Taking the direction normal to the surface of the wall
to be the
x
direction with
x
= 0 at the left surface, the
mathematical formulation of this problem can be expressed as
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 Fall '10
 Dr.DanielArenas
 Thermodynamics, Mass, Heat

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