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Math Help - Temperature of a Sheet of Metal

  1. #1
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    Temperature of a Sheet of Metal

    Hello,

    A large (effectively infinite) sheet of metal, insulated above and below, occupies the
    infinite strip B = {(x, y) | 0 <= x <= pi/2, y >= 0}. The y-axis is maintained at room
    temperature (20◦) but ice placed along the x-axis and the line y = pi/2 keeps the
    temperature at 0◦ there. Find the steady-state temperature at the point (x, y).

    Any help would be greatly appreciated! Thanks.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by JoAdams5000 View Post
    Hello,

    A large (effectively infinite) sheet of metal, insulated above and below, occupies the
    infinite strip B = {(x, y) | 0 <= x <= pi/2, y >= 0}. The y-axis is maintained at room
    temperature (20◦) but ice placed along the x-axis and the line y = pi/2 keeps the
    temperature at 0◦ there. Find the steady-state temperature at the point (x, y).

    Any help would be greatly appreciated! Thanks.
    Well what PDE does the temperature distribution follow?

    CB
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  3. #3
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    Can this also be solved with complex analysis and finding harmonic functions?
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