Problem #$2$

A slab of material $1$ m thickness is at uniform temperature of $100C.$ The front surface is suddenly exposed to a constant environment temperature of $0C.$ The convective resistance is zero $).$ The back surface of the slab is insulated.

$($i$)$ Numerically calculate the temperature profiles as a functions of time up to $t=6000s$ with the thermal diffusivity $=2\mathrm{.}0{10}^{-5}\frac{m^2}{s}.$ Using $10$ equal slices each $0\mathrm{.}1$ m thick $($use explicit method$).$ Solved in the class.

$($ii$)$ Repeat part $($i$)$ using $50$ equal slices $($use explicit method$).$ Note that instead of writing $50$ explicit equations, make a more general code where you can input any number of slices to get the results. You can test your code against the part $($i$)$ solved in the class and then just change it to $50.$

$($iii$)$ repeat the part $($i$)$ again using implicit method. You need to solve $10$ simultaneous equations after every time step.

$($iv$)$ Repeat part $($iii$)$ using $50$ equal slices $($use implicit method$).$ Note that instead of writing $50$ explicit equations, make a more general code where you can input any number of slices to get the results. You can test your code against the part $($iii$)$ and then just change it to $50.$

$0\backslash$deg Ch$0$k$=10$ W$/$m$^2$Ka$=2$x$10$ m$^2/$sTinitial $=100\backslash$deg CL$=1$mX give me the matlab code and explain all previous answers are wrong so don't use them or I will give you a thumbs down and report you