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Steady state temp. distribution

  1. Jan 20, 2016 #1
    1. The problem statement, all variables and given/known data
    upload_2016-1-20_18-10-38.png

    2. Relevant equations
    ıt is nonhomog type ,2D heat conduction problem

    3. The attempt at a solution
    I don't understant To parts so I couldn't attemp a solution.
     
  2. jcsd
  3. Jan 20, 2016 #2
    What makes you think it is a 2D problem?
     
  4. Jan 20, 2016 #3
    Shouldn't we found T(x,y)
    and for upper and lower parts should I write as afuction of x To(x) and then define new temperature variable Q=T-To to eliminate nonhomog on the left side
     
  5. Jan 20, 2016 #4
    From the figure, it looks to me like the heat flow is 1D from the left side to the right side. T = T(x).
     
  6. Jan 20, 2016 #5
    What about the upper and lower boundaries?
    Bc should be x=0 t=to
    X=b/2 t=to
    Y=0 dt/dy =0
    Y=b t= to(x)
     
  7. Jan 21, 2016 #6
    Does the following satisfy all the boundary conditions: ##T=T_0\left(1-\frac{x}{a}\right)##?
     
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