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Inhomogeneuos heat equation

  1. Jul 27, 2008 #1
    inhomogeneuos heat equation!!!

    1. The problem statement, all variables and given/known data
    ∂θ/∂t= D∇2θ + K, the mensioned equation is the heat equation for a cylindrical rod , and the requaired is to find the ordinary differential equation for θ(r) .where the radius of the rod is R , and K is constant ( correspond to a constant rate pf heat production)

    2. Relevant equations

    3. The attempt at a solution
    i use separation of variables to obtain the required for a homogeneous heat equation , but with the constant the method didn't work out.
    thanks for your time.
  2. jcsd
  3. Jul 27, 2008 #2


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    Welcome to PF!

    Hi mumaga! Welcome to PF! :smile:

    (I assume you mean ∂θ/∂t= C∇2θ + K, where C and K are constants, and θ depends only on t and r.)

    See http://en.wikipedia.org/wiki/Heat_equation#Homogeneous_heat_equation :smile:
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