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HELP with finite element homework

  1. Sep 19, 2011 #1
    1. The problem statement, all variables and given/known data

    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.
     
  2. jcsd
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