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Heat Conducting Material

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

    Find the temperature distribution in the rectangular sheet given the following boundary conditions:

    U(0, y) = U(a, y) = U(x, b) = 0; U(x, 0) = f(x)


    2. Relevant equations

    U(x, y) = (summation) B (fourier coefficient) [sin ((n*pi*x)/a) sinh ((n*pi*y)/a)]



    3. The attempt at a solution

    Wouldn't it just be a simple modification of the above formula:

    U(x, y) = (summation) B [sin ((n*pi*x)/a) sinh ((n*pi*(b - y))/a)
     
  2. jcsd
  3. Oct 1, 2009 #2

    I can't help you solve it. However, I will bump it by retyping it with LaTeX for you :-)

    [tex]U\left(x,y\right)=\sum B\sin{\left(\frac{n \pi x}{a}\right)}\sinh{\left(\frac{n\pi(b-y)}{a}\right)}[/tex]
     
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