Heat Transfer Questions & Answers  


You need to typeset your post using LATEX. Only attach images for figures/schematics. Also, other students have provided good explanations already — we need to move on now.






Good question. You can get a second equation by applying the heat equation in integral form to one of the plates. Then, you'll have 2 equations for 2 unknowns. 2 points bonus.




When you can't find the root to an equation analytically, use a Picard iteration. Thus, let's say we have one equation for one unknown $\phi$ as follows: $$ \phi^4 +\phi^3 +2 \phi=3000 $$ Replace one of the $\phi$ with $\phi_{n+1}$ and the other $\phi$s with $\phi_n$: $$ (\phi_{n})^4 +(\phi_n)^3 +2 \phi_{n+1}=3000 $$ Then isolate $\phi_{n+1}$ as a function of $\phi_n$. At the first iteration (n=1), set $\phi_1$ to a good guess for the root. Then obtain $\phi_2$ this way. Once $\phi_2$ is known, you can obtain $\phi_3$, and so on, until you reach the root. 2 points bonus.




1D HT along $x$, SS.



$\pi$ 