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Nonhomogeneous BC Heat Conduction

  1. Jan 17, 2016 #1
    1. The problem statement, all variables and given/known data
    A very long cylinder has temperature T1 impressed on half of its peripheral surface and
    temperature T2 impressed on the other half. Find T(r, θ).


    2. Relevant equations
    governing eq 1/r ∂/∂r(r∂/∂r)+∂2T/∂z2

    3. The attempt at a solution
    I am right at r=0 ;T=T1 at r=r' T=T2
    to make BC homog define new term Q=T-T1

    I am confused while define BCs
     

    Attached Files:

  2. jcsd
  3. Jan 18, 2016 #2
    If T is a function of r and θ, why do you have the z term in your Laplace equation. You should have the θ term, not the z term.
     
  4. Jan 18, 2016 #3
    I am always confused with cylindrical coordinates. I know how to solve this but I couldn't formulate the problem as you sad I added z term.
     
  5. Jan 18, 2016 #4
    So what is the laplace equation when you include the theta dependence and omit the z dependence?
     
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