slab of material is initally at a temperature given by , and the surfaces are maintained at zero temperature. Show that the temperature is
Last edited by Danny; August 25th 2011 at 05:26 AM.
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Have you tried separation of variables? Note: For those that are reading this post, I'm sure the OP meant to include the governing PDE
Last edited by Danny; August 25th 2011 at 07:36 PM.
how would i do that?
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,
are maintained at zero temperature.
![T=\frac{8T_{0}}{\pi^{2}} \sum^{\infty}_{n=0} \frac{1}{(2n+1)^2} cos \frac{(2n+1) \pi x}{2} exp[-k(n+ \frac{1}{2})^2 \pi^2 t]](http://latex.codecogs.com/png.latex?T=\frac{8T_{0}}{\pi^{2}} \sum^{\infty}_{n=0} \frac{1}{(2n+1)^2} cos \frac{(2n+1) \pi x}{2} exp[-k(n+ \frac{1}{2})^2 \pi^2 t])
