Cant solve heat equation on semi infiniate solid

[kieranzas]

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

 

[HallsofIvy]

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?

 

[kieranzas]

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 realize i was only having to set up the question.