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Fourier's Equations: difficult problem

  1. Jul 11, 2016 #1
    1. The problem statement, all variables and given/known data
    So I have a problem where I have a series and two other parallel insulators bringing a system from a temperature of Tzero to Ttwo. However, the two aforementioned temperatures have a huge difference thus causing kappa to vary with temperature. I am trying to know how to solve for Q/t of the whole system accounting for the varying kappa with temperature (assume the kappa function is linear with temperature change (y=mx+b form)). So I have a cylinder that is in series (2*pi*r*L) and top and bottom that are parallel but not series (disks with thickness).
    2. Relevant equations
    Q/t=kAdT/dx

    3. The attempt at a solution
    I serperated and integrated. I set Q/t=Q/t for the series from where they change. The difficulty I have is coming up with the general form (T-t)/R and using that to do stuff.
     
  2. jcsd
  3. Jul 11, 2016 #2
    Is this a transient problem or a steady state problem?
     
  4. Jul 14, 2016 #3

    rude man

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    I think we need a picture ...
     
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