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Homework Help: Heat conduction

  1. Sep 5, 2005 #1
    Given the 3-D rectangular solid with sides of length a, b and c in the x, y and z direction respectively.
    Find T(x,y,z) in the interior of the solid when laplace T = 0
    Boundary condition are following conditions:
    1) x=0, T=0
    2) x=a, dT/dx=0
    3) y=0, dT/dy=0
    4) y=b, dT/dy=0
    5) z=0, T=0
    6) z=c, T=f(x,y)
    please suggest me, How to solve it?
  2. jcsd
  3. Sep 5, 2005 #2


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    Staff Emeritus
    Science Advisor

    Well, start with the general solution of the Laplace equation, and apply the boundary conditions. This is a steady-state heat conduction problem in 3 dimensions.
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