(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

n is given by:

∂^{2}Θ/∂x^{2}=1/α^{2}∂Θ/∂t

, where Θ(x, t) is the

temperature as a function of time and position, and α^{2}

is a constant characteristic for the

material through which the heat is ﬂowing.

We have a plate of inﬁnite area and thickness d that has a uniform temperature of 100◦C.

Suddenly from t = 0 onwards we put both sides at 0◦C (perhaps by putting the plate between

two slabs of ice).

Write down the four boundary conditions for this plate.

2. Relevant equations

I can't think of any relevant equations to this

3. The attempt at a solution

so far I have got

Θ(0, t)=0

Θ(d, t)=0 where d is the thickness of the bar.

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

2. Relevant equations

3. The attempt at a solution

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# 1 dimensional heat flow boundary conditions

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