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Fourier method for non-uniform heat diffusion

  1. Nov 1, 2009 #1
    1. The problem statement, all variables and given/known data

    The Fourier method specifies that

    change of
    heat energy of = heat out from left boundary - heat in from right boundary
    segment in time Δt


    If vars such as c,p.. are constant in the equation, and T(-L,L) = T_a, does the the aforementioned Fourier method also work for bodies that are in equilibrium. (I.e) if there is no source/sink, can you can work through the fourier method to get u(x,t) = c, where c is the temperature for all x_n in [-L,L] at any time t?
     
  2. jcsd
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