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Two ends of a bar of length L are held at temperatures To and TL at positions x=o and x=L, respectively. Thermal conductivity k(x)= Ko/(1+ x/L) , ko is a constant.

cross section of the bar is uniform and longs sides are thermally insulated, there's no source of heat within the bar.

a. what differential relation describes the temperature as a function of position in the bar

b. Solve the system for temperature distribution, T(x), in terms of To, TL, L and Ko

2. Relevant equations

-Dq+Q=0 q=-deltaT

Not sure...

3. The attempt at a solution

This is a HW from finite element course. I really don't know how to start with k is nonuniform.

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# Homework Help: HELP with finite element homework

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