Chapter 2
Heat Conduction Equation
Solution of Steady OneDimensional Heat Conduction Problems
252C
Yes, this claim is reasonable since in the absence of any heat generation the rate of heat transfer
through a plain wall in steady operation must be constant. But the value of this constant must be zero since
one side of the wall is perfectly insulated. Therefore, there can be no temperature difference between
different parts of the wall; that is, the temperature in a plane wall must be uniform in steady operation.
253C
Yes, the temperature in a plane wall with constant thermal conductivity and no heat generation will
vary linearly during steady onedimensional heat conduction even when the wall loses heat by radiation
from its surfaces. This is because the steady heat conduction equation in a plane wall is
dT
= 0
whose solution is
Tx
regardless of the boundary conditions. The solution function represents
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 Fall '10
 Dr.DanielArenas
 Thermodynamics, Mass, Heat, Heat Transfer, steady onedimensional heat

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