Does Figure C Show A Constant Temperature Profile for Plane Wall Heat Transfer?

AI Thread Summary
Figure C does not show a constant temperature profile for plane wall heat transfer, as the temperature gradient is influenced by heat flux, according to Fourier's Law. The discussion highlights that in a steady state, heat cannot accumulate indefinitely, indicating that a temperature gradient must exist. The conditions of heat leaving or entering the wall on the right side affect the temperature distribution. The conversation also questions the implications of having no insulation and the necessity of temperature constraints on both sides of the wall. Overall, the consensus is that a flat temperature profile is not feasible under the given conditions.
no183
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Refer to the attached picture,
condition : assume steady state
legend : red : insulated (adiabatic)
black : no condition
Green : Temperature distribution, T(X)
I started with figure A, from heat equation, A u will get the distribution with is just a constant temperature..
For B, u will get a linear temperature gradient as shown in the figure, how bout C?
 

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What do you mean by "no condition"?
 
mean, just a normal wall.. non-insulated
 
Then why would there be a temperature gradient in part (a)? Is there another constraint that the temperature is held at certain (different) values on the left and right sides? If so, what are the temperature constraints in part (c)?
 
ok, let's say heat is LEAVING from figure A RIGHT HAND SIDE (BLACK) so i will get the temperature distribution
While on B, heat is MOVING IN TO THE WALL from RIGHT HAND SIDE (BLACK) and i will get the temperature distribution
lastly C, what i will get if
a) heat LEAVING the wall on the right hand side
b) heat ENTERING the wall on the right hand side
 
no183 said:
While on B, heat is MOVING IN TO THE WALL from RIGHT HAND SIDE (BLACK) and i will get the temperature distribution

I don't think so, for a couple reasons. First, heat flux is always coupled to a temperature gradient (this is Fourier's Law), so the temperature profile wouldn't be flat. Second, there's nowhere for this heat to go. Therefore, there won't be any steady state condition; the temperature will just keep increasing indefinitely.
 
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