(Heat Flow) Find the Temperature Distribution

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SUMMARY

The discussion centers on determining the temperature distribution in a heat transfer problem, specifically addressing the steady-state condition. The participants clarify that the problem lacks an initial condition (IC), which suggests it is indeed a steady-state heat transfer scenario rather than a transient one. The mention of different temperatures at both ends implies an initial temperature distribution, denoted as f(z). The correction of Z' to Z'' indicates attention to detail in mathematical representation.

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EDIT: Typo, the Z' should be Z''
 
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The problem statement sort of suggests that this is a steady state heat transfer problem rather than a transient problem. There is no initial condition.
 
I have a hunch that is the case since there is no mention of an IC (but I took the assumption that since there is a different T at both ends, there would be an initial T distribution, f(z)).

I am not totally sure though since they didn't explicitly state "steady-state" like they do in other problems.
 

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