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Cant solve heat equation on semi infiniate solid

  1. Nov 15, 2011 #1
    Hi All,

    I am having issues trying to work out a task my employer has given me and was wondering if there is someone who could help. Question:

    A Semi-infiniate solid (L=3M) x>0, is initially at temperature zero. At time t=0, a constant temperature Uo>0 is applied and maintained at the face x=0. Find:

    1. The boundary conditions,
    2. Laplace transforms for the both sides of the formula.
    3. The equation constants.
    4. The temperature at any point of the solid at any later time t>0.
    5. Sketch the heat equation.

    I really need help on this my maths was never much good.

    Please and thankyou
  2. jcsd
  3. Nov 16, 2011 #2


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    Science Advisor

    You titled this "Can't solve heat equation on semi-infinite solid" but you are not asked to solve it. You are only asked to set the problem up. Do you know what the "heat equation" is?
  4. Nov 16, 2011 #3
    right i think i might know where your going with that. yes i know what the general heat equation is shall have a look into it a bit further i think. i thought it had to be solved did not realise i was only having to set up the question.
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